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		<title>Elliptic Curve Crypto  - Recent changes [en]</title>
		<link>https://www.ellipticcurve.info/Special:RecentChanges</link>
		<description>Track the most recent changes to the wiki in this feed.</description>
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			<title>SEPIC.tex</title>
			<link>https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=559&amp;oldid=557</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=559&amp;oldid=557</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Source code for File:SEPIC.pdf&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:13, 24 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l244&quot;&gt;Line 244:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 244:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;$$&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;$$&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Increasing the duty cycle $\tau/T$ will increase the potential $V_{P_\textrm{off}}$ which is available at the output less the forward drop through the diode $D_1$, but it will correspondingly decrease the clock-cycle-averaged current available at the increased potential. A Pulse Width Modulator with a feedback loop will assist in maintaining a stable output potential from a variable input potential from solar panels.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Increasing the duty cycle $&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;D=&lt;/ins&gt;\tau/T$ will increase the potential $V_{P_\textrm{off}}$ which is available at the output less the forward drop through the diode $D_1$, but it will correspondingly decrease the clock-cycle-averaged current available at the increased potential. A Pulse Width Modulator with a feedback loop will assist in maintaining a stable output potential from a variable input potential from solar panels.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\section{Energy transfer per clock cycle}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\section{Energy transfer per clock cycle}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l256&quot;&gt;Line 256:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 256:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Zhang \cite{zhang} suggests choosing inductors of a value that will allow a 40\% ripple in current at the switching frequency. In effect, that causes perhaps 64\% of the total energy stored in an inductor to be transferred each clock cycle, which appears to be a good practical limit of tolerable ``ripple&amp;#039;&amp;#039; under conditions of light load or open circuit among other considerations.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Zhang \cite{zhang} suggests choosing inductors of a value that will allow a 40\% ripple in current at the switching frequency. In effect, that causes perhaps 64\% of the total energy stored in an inductor to be transferred each clock cycle, which appears to be a good practical limit of tolerable ``ripple&amp;#039;&amp;#039; under conditions of light load or open circuit among other considerations.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We suggest using heavy gauge wire on a heavy iron core to carry large currents to avoid overheating and/or saturating the core. This only permits relatively few turns of wire and will not result in any excessively large inductance.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We suggest using heavy gauge wire on a heavy iron core to carry large currents to avoid overheating and/or saturating the core. This only permits relatively few turns of wire and will not result in any excessively large inductance&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. However this approach limits the system to low frequencies&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The capacitors in a coupled SEPIC system are movable&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, and &lt;/del&gt;their exact values do not seem to be critical.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The capacitors in a coupled SEPIC system are movable&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;their exact values &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and placements &lt;/ins&gt;do not seem to be critical&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, and may need to be determined experimentally&lt;/ins&gt;.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\section{Size and scale of systems proposed}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\section{Size and scale of systems proposed}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l267&quot;&gt;Line 267:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 267:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The selection of components is based on how much ``ripple voltage&amp;#039;&amp;#039; and possible overheating of components we are willing to tolerate versus how much money we can afford and are willing to spend on bigger and better components for reliability and smoothness of the power supply system.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The selection of components is based on how much ``ripple voltage&amp;#039;&amp;#039; and possible overheating of components we are willing to tolerate versus how much money we can afford and are willing to spend on bigger and better components for reliability and smoothness of the power supply system.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It is particularly important to pay attention to officially published datasheets on electronic component parts and ICs. Those are the legal contracts of technical specifications on which the chips are sold, and they contain all the information you need to know from the manufacturer on the particular product you are using. Other comments or opinions from engineers or salesmen, personal or otherwise, are ultimately irrelevant, as they have presumably already stated all of the information to which they can be held accountable on the datasheet.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Once you ``make&#039;&#039; or ``build,&#039;&#039; you are no longer a consumer but a potential competitor and arch-rival making a possibly hostile use of the firm&#039;s component parts which you are effectively taking over and re-purposing as parts of your own final product. So if you are in direct competition with that firm, you would be well advised to avoid any ``vendor lock-in&#039;&#039; and be prepared to find alternatives or substitutes for their component parts.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\begin{quote}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;``We sell electronic component parts and chips, and we have engineers who would love to talk to you about the technical details, but (obviously) our goals and objectives are merely to protect and defend our intellectual property and if at all possible to prevent you from making or building anything in direct competition with any of our own products.&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\end{quote}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\noindent To view the published datasheet with such a jaundiced eye and jaded opinions, the Amish farmer&#039;s honesty won&#039;t permit it at all.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\subsection{Power MOSFETs or IGBTs}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\subsection{Power MOSFETs or IGBTs}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l301&quot;&gt;Line 301:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 311:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The ``Arduino&amp;#039;&amp;#039; also has a rudimentary pulse width modulation ``analog output&amp;#039;&amp;#039; running at about 0.5~kHz \cite{arduino-pwm}, which is adequate for our purposes as long as we design and plan for the very low frequency.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The ``Arduino&amp;#039;&amp;#039; also has a rudimentary pulse width modulation ``analog output&amp;#039;&amp;#039; running at about 0.5~kHz \cite{arduino-pwm}, which is adequate for our purposes as long as we design and plan for the very low frequency.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\subsection{Logic level power supply}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\begin{figure}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\begin{figure}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l309&quot;&gt;Line 309:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 318:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (2,6) node[circ]{} to[resistor, label=$R_2$] ++(0,-3) node[circ, name=qb0]{}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (2,6) node[circ]{} to[resistor, label=$R_2$] ++(0,-3) node[circ, name=qb0]{}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;				to[zzDo, invert, label=$D_2$]  ++(0,-3) node[circ]{};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;				to[zzDo, invert, label=$D_2$]  ++(0,-3) node[circ]{};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (4,3) node[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pnp&lt;/del&gt;, name=q1]{$Q_2$};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (4,3) node[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;npn&lt;/ins&gt;, name=q1]{$Q_2$};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (qb0) -- (q1.base);&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (qb0) -- (q1.base);&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (2,6) -- ++(2,0) -- (q1.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;emitter&lt;/del&gt;);&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (2,6) -- ++(2,0) -- (q1.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;collector&lt;/ins&gt;);&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (2,0) -- ++(3,0) node[circ, name=j3]{} -- ++(2,0)  node[circ, name=j4]{} -- ++(1,0) node[ocirc, label=$GND$]{};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (2,0) -- ++(3,0) node[circ, name=j3]{} -- ++(2,0)  node[circ, name=j4]{} -- ++(1,0) node[ocirc, label=$GND$]{};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (q1.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;collector&lt;/del&gt;) -- ++(1,0) node[circ, name=j1]{} to[cute inductor, inductors/coils=3, label=$L_4$]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (q1.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;emitter&lt;/ins&gt;) -- ++(1,0) node[circ, name=j1]{} to[cute inductor, inductors/coils=3, label=$L_4$]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;				++(2,0) node[circ, name=j2]{} -- ++(1,0) node[ocirc, label=$V_{CC}$]{};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;				++(2,0) node[circ, name=j2]{} -- ++(1,0) node[ocirc, label=$V_{CC}$]{};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\node[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;below &lt;/del&gt;right, font=\scriptsize] at (q1.emitter){$E$};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\node[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;above &lt;/ins&gt;right, font=\scriptsize] at (q1.emitter){$E$};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\node[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;below&lt;/del&gt;, font=\scriptsize] at (q1.base){$B$};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\node[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;above&lt;/ins&gt;, font=\scriptsize] at (q1.base){$B$};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\node[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;above &lt;/del&gt;right, font=\scriptsize] at (q1.collector){$C$};&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\node[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;below &lt;/ins&gt;right, font=\scriptsize] at (q1.collector){$C$};&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (j1) to[curved capacitor, label=$C_5$] (j3);&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (j1) to[curved capacitor, label=$C_5$] (j3);&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (j2) to[curved capacitor, label=$C_6$] (j4);&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;			\draw (j2) to[curved capacitor, label=$C_6$] (j4);&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l326&quot;&gt;Line 326:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 335:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\end{figure}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\end{figure}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\subsection{Logic level power supply}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A simple Zener diode voltage regulator with a transistor current buffer \cite{zd-tr} as depicted in Figure~\ref{f2} should be used to power logic level circuits directly from highly variable power supplies if possible. This simple circuit also has the effect of an undervoltage lockout or UVLO \cite{uvlo-se}. Some hysteresis \cite{uvlo-h} would be desirable in order to avoid an amplified chattering effect from transistor $Q_2$ when the voltage supply is barely adequate and teetering at the edge of the lockout level.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A simple Zener diode voltage regulator with a transistor current buffer \cite{zd-tr} as depicted in Figure~\ref{f2} should be used to power logic level circuits directly from highly variable power supplies if possible. This simple circuit also has the effect of an undervoltage lockout or UVLO \cite{uvlo-se}. Some hysteresis \cite{uvlo-h} would be desirable in order to avoid an amplified chattering effect from transistor $Q_2$ when the voltage supply is barely adequate and teetering at the edge of the lockout level.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Fri, 24 Apr 2026 14:13:47 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:SEPIC.tex</comments>
		</item>
		<item>
			<title>File:SEPIC.pdf</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=558&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=558&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded a new version of &lt;a href=&quot;/File:SEPIC.pdf&quot; title=&quot;File:SEPIC.pdf&quot;&gt;File:SEPIC.pdf&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;See [[SEPIC.tex]] for the source code for this document.&lt;/div&gt;</description>
			<pubDate>Fri, 24 Apr 2026 14:13:19 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:SEPIC.pdf</comments>
		</item>
		<item>
			<title>SEPIC.tex</title>
			<link>https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=557&amp;oldid=547</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=557&amp;oldid=547</guid>
			<description>&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;amp;diff=557&amp;amp;oldid=547&quot;&gt;Show changes&lt;/a&gt;</description>
			<pubDate>Fri, 24 Apr 2026 03:44:14 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:SEPIC.tex</comments>
		</item>
		<item>
			<title>File:SEPIC.pdf</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=556&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=556&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded a new version of &lt;a href=&quot;/File:SEPIC.pdf&quot; title=&quot;File:SEPIC.pdf&quot;&gt;File:SEPIC.pdf&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;See [[SEPIC.tex]] for the source code for this document.&lt;/div&gt;</description>
			<pubDate>Fri, 24 Apr 2026 03:42:45 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:SEPIC.pdf</comments>
		</item>
		<item>
			<title>Magnetic permeability</title>
			<link>https://www.ellipticcurve.info/index.php?title=Magnetic_permeability&amp;diff=555&amp;oldid=536</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Magnetic_permeability&amp;diff=555&amp;oldid=536</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Calculating the magnetic permeability of a toroid core&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:48, 21 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l19&quot;&gt;Line 19:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 19:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Problem: calculate the magnetic permeability of the material of which this core is made.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Problem: calculate the magnetic permeability of the material of which this core is made.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=== The Biot–Savart Law for air-core inductors and coils in free space ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;...&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 21 Apr 2026 15:48:48 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Magnetic_permeability</comments>
		</item>
		<item>
			<title>Solar systems</title>
			<link>https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=554&amp;oldid=540</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=554&amp;oldid=540</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Charge controller: &lt;/span&gt; Zener Diode Regulator with Transistor Current Buffer&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:45, 20 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l43&quot;&gt;Line 43:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 43:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Capacitance, inductance and transistor performance characteristics, etc. of all component parts should be carefully measured and verified with appropriate field or bench test equipment.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Capacitance, inductance and transistor performance characteristics, etc. of all component parts should be carefully measured and verified with appropriate field or bench test equipment.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A Zener diode with a resistor and a transistor &amp;lt;ref&amp;gt; &#039;&#039;Zener Diode Regulator with Transistor Current Buffer.&#039;&#039; 2015-08-26. https://www.digikey.com/en/maker/tutorials/2016/zener-diode-regulator-with-transistor-current-buffers&amp;lt;/ref&amp;gt; may be helpful as a logic-level voltage supply for the charge controller itself to enable &quot;wide &#039;&#039;V&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt;&#039;&#039;&quot; functionality for integrated circuit power directly from the solar panels under varying sunlight conditions.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Component selection and Bill of Materials ===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Component selection and Bill of Materials ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Mon, 20 Apr 2026 04:45:04 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Solar_systems</comments>
		</item>
		<item>
			<title>FM radio</title>
			<link>https://www.ellipticcurve.info/index.php?title=FM_radio&amp;diff=553&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=FM_radio&amp;diff=553&amp;oldid=0</guid>
			<description>&lt;p&gt;start article&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Various circuits exist for building simple FM radio receivers &amp;lt;ref&amp;gt;&amp;#039;&amp;#039;Simple FM Radio.&amp;#039;&amp;#039; https://electronics-diy.com/simple-fm-radio.php&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;D. Prabakaran. &amp;#039;&amp;#039;Designing Simple FM Radio Receiver Circuit.&amp;#039;&amp;#039; August 16, 2023. https://www.electronicsforu.com/electronics-projects/simple-fm-receiver &amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;&amp;#039;&amp;#039;LEAP #476: Simplest Direct FM Receiver.&amp;#039;&amp;#039; https://leap.tardate.com/radio/fm/simplestdirectreceiver/&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;&amp;#039;&amp;#039;How to Build a Simple FM Radio Receiver on a Breadboard.&amp;#039;&amp;#039; https://en.eeworld.com.cn/circuit/view/105092&amp;lt;/ref&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
This one &amp;lt;ref&amp;gt;Boris Landoni. &amp;#039;&amp;#039;DiY FM Micro Receiver.&amp;#039;&amp;#039; https://www.open-electronics.org/diy-fm-micro-receiver/&amp;lt;/ref&amp;gt; has stereo output and uses an integrated circuit.&lt;/div&gt;</description>
			<pubDate>Mon, 20 Apr 2026 03:27:05 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:FM_radio</comments>
		</item>
		<item>
			<title>File:Crystal-radio.png</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:Crystal-radio.png&amp;diff=552&amp;oldid=0</link>
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			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded a new version of &lt;a href=&quot;/File:Crystal-radio.png&quot; title=&quot;File:Crystal-radio.png&quot;&gt;File:Crystal-radio.png&lt;/a&gt; fixed capacitor value&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Basic Crystal radio circuit&lt;br /&gt;
https://www.allaboutcircuits.com/textbook/semiconductors/chpt-9/radio-circuits/&lt;/div&gt;</description>
			<pubDate>Sun, 19 Apr 2026 18:00:12 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:Crystal-radio.png</comments>
		</item>
		<item>
			<title>Crystal radio</title>
			<link>https://www.ellipticcurve.info/index.php?title=Crystal_radio&amp;diff=551&amp;oldid=550</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Crystal_radio&amp;diff=551&amp;oldid=550</guid>
			<description>&lt;p&gt;minor edits&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:56, 19 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Building a simple crystal radio is, or ought to be, a basic survival skill.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Building a simple &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;AM &lt;/ins&gt;crystal radio is, or ought to be, a basic survival skill.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This circuit &amp;lt;ref&amp;gt;All About Circuits. &amp;#039;&amp;#039;Textbook // Semiconductors // Practical Analog Semiconductor Circuits // Radio Circuits.&amp;#039;&amp;#039; https://www.allaboutcircuits.com/textbook/semiconductors/chpt-9/radio-circuits/&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This circuit &amp;lt;ref&amp;gt;All About Circuits. &amp;#039;&amp;#039;Textbook // Semiconductors // Practical Analog Semiconductor Circuits // Radio Circuits.&amp;#039;&amp;#039; https://www.allaboutcircuits.com/textbook/semiconductors/chpt-9/radio-circuits/&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;shows an antenna tuned with an inductor of 240μH and a variable capacitor of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;365pF&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;shows an antenna tuned with an inductor of 240μH and a variable capacitor of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;365&amp;amp;nbsp;pF&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Crystal-radio.png|frame|center|Simple crystal radio circuit]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Crystal-radio.png|frame|center|Simple crystal radio circuit]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The resonant frequency for this tuning &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;will be &lt;/del&gt;about&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The resonant frequency for this tuning &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;with the variable capacitor set at 365&amp;amp;nbsp;pF starts at &lt;/ins&gt;about&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:&amp;#039;&amp;#039;f&amp;#039;&amp;#039; = 1 / 2π√(LC) =~ 537.73472 kilohertz&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:&amp;#039;&amp;#039;f&amp;#039;&amp;#039; = 1 / 2π√(LC) =~ 537.73472 kilohertz&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If the variable capacitance is reduced to 36.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5pF&lt;/del&gt;, then the resonant frequency will be increased to 1700.46649 kilohertz, the other end of the popular AM broadcast radio band, which is about exactly half a decade wide, spanning a ratio of √10 on the radio spectrum.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If the variable capacitance is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;reduced&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039; &lt;/ins&gt;to 36.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&amp;amp;nbsp;pF&lt;/ins&gt;, then the resonant frequency will be increased to 1700.46649 kilohertz, the other end of the popular AM broadcast radio band, which is about exactly half a decade wide, spanning a ratio of √10 on the radio spectrum.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Sun, 19 Apr 2026 17:56:42 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Crystal_radio</comments>
		</item>
		<item>
			<title>Crystal radio</title>
			<link>https://www.ellipticcurve.info/index.php?title=Crystal_radio&amp;diff=550&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Crystal_radio&amp;diff=550&amp;oldid=0</guid>
			<description>&lt;p&gt;Simple crystal radio circuit&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Building a simple crystal radio is, or ought to be, a basic survival skill.&lt;br /&gt;
&lt;br /&gt;
This circuit &amp;lt;ref&amp;gt;All About Circuits. &amp;#039;&amp;#039;Textbook // Semiconductors // Practical Analog Semiconductor Circuits // Radio Circuits.&amp;#039;&amp;#039; https://www.allaboutcircuits.com/textbook/semiconductors/chpt-9/radio-circuits/&amp;lt;/ref&amp;gt;&lt;br /&gt;
shows an antenna tuned with an inductor of 240μH and a variable capacitor of 365pF.&lt;br /&gt;
&lt;br /&gt;
[[File:Crystal-radio.png|frame|center|Simple crystal radio circuit]]&lt;br /&gt;
&lt;br /&gt;
The resonant frequency for this tuning will be about&lt;br /&gt;
&lt;br /&gt;
:&amp;#039;&amp;#039;f&amp;#039;&amp;#039; = 1 / 2π√(LC) =~ 537.73472 kilohertz&lt;br /&gt;
&lt;br /&gt;
If the variable capacitance is reduced to 36.5pF, then the resonant frequency will be increased to 1700.46649 kilohertz, the other end of the popular AM broadcast radio band, which is about exactly half a decade wide, spanning a ratio of √10 on the radio spectrum.&lt;/div&gt;</description>
			<pubDate>Sun, 19 Apr 2026 17:53:12 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Crystal_radio</comments>
		</item>
		<item>
			<title>File:Crystal-radio.png</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:Crystal-radio.png&amp;diff=549&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:Crystal-radio.png&amp;diff=549&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded &lt;a href=&quot;/File:Crystal-radio.png&quot; title=&quot;File:Crystal-radio.png&quot;&gt;File:Crystal-radio.png&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Basic Crystal radio circuit&lt;br /&gt;
https://www.allaboutcircuits.com/textbook/semiconductors/chpt-9/radio-circuits/&lt;/div&gt;</description>
			<pubDate>Sun, 19 Apr 2026 17:51:37 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:Crystal-radio.png</comments>
		</item>
		<item>
			<title>File:SEPIC.pdf</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=548&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=548&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded a new version of &lt;a href=&quot;/File:SEPIC.pdf&quot; title=&quot;File:SEPIC.pdf&quot;&gt;File:SEPIC.pdf&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;See [[SEPIC.tex]] for the source code for this document.&lt;/div&gt;</description>
			<pubDate>Fri, 17 Apr 2026 05:55:16 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:SEPIC.pdf</comments>
		</item>
		<item>
			<title>SEPIC.tex</title>
			<link>https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=547&amp;oldid=545</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=547&amp;oldid=545</guid>
			<description>&lt;p&gt;Arduino&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 05:54, 17 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l124&quot;&gt;Line 124:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 124:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;		url = {https://www.monolithicpower.com/en/learning/mpscholar/power-electronics/dc-dc-converters/sepic-converters}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;		url = {https://www.monolithicpower.com/en/learning/mpscholar/power-electronics/dc-dc-converters/sepic-converters}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;	}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;	}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;	&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;	&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;@article{arduino-pwm,&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;		author = {Timothy Hirzel},&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;		title = {Basics of PWM (Pulse Width Modulation)},&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;		journal = {Arduino Docs},&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;		year = {2022},&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;		url = {https://docs.arduino.cc/learn/microcontrollers/analog-output/}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;	}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\end{filecontents}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\end{filecontents}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l266&quot;&gt;Line 266:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 272:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\subsubsection{Low frequency}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\subsubsection{Low frequency}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The LM555 \cite{LM555} or similar ICs from many manufacturers may be used for frequencies below 20~kHz, but the 555 is a general purpose timer which will require additional customization and circuitry to use specifically for pulse width modulation. There is no reason we cannot go as low as 400, 60 or even 50~Hz. Larger inductors and capacitors will be required in these cases, but &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;the converter will be more efficient may produce smoother, cleaner power.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The LM555 \cite{LM555} or similar ICs from many manufacturers may be used for frequencies below 20~kHz, but the 555 is a general purpose timer which will require additional customization and circuitry to use specifically for pulse width modulation. There is no reason we cannot go as low as 400, 60 or even 50~Hz. Larger inductors and capacitors will be required in these cases, but the converter will be more efficient &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and &lt;/ins&gt;may produce smoother, cleaner power&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The ``Arduino&#039;&#039; also has a rudimentary pulse width modulation ``analog output&#039;&#039; running at about 0.5~kHz \cite{arduino-pwm}, which is adequate for our purposes as long as we design and plan for the very low frequency&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\subsection{The feedback loop}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\subsection{The feedback loop}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Fri, 17 Apr 2026 05:54:51 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:SEPIC.tex</comments>
		</item>
		<item>
			<title>File:SEPIC.pdf</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=546&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=546&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded a new version of &lt;a href=&quot;/File:SEPIC.pdf&quot; title=&quot;File:SEPIC.pdf&quot;&gt;File:SEPIC.pdf&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;See [[SEPIC.tex]] for the source code for this document.&lt;/div&gt;</description>
			<pubDate>Fri, 17 Apr 2026 05:16:21 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:SEPIC.pdf</comments>
		</item>
		<item>
			<title>SEPIC.tex</title>
			<link>https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=545&amp;oldid=541</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=545&amp;oldid=541</guid>
			<description>&lt;p&gt;something is missing&lt;/p&gt;
&lt;a href=&quot;https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;amp;diff=545&amp;amp;oldid=541&quot;&gt;Show changes&lt;/a&gt;</description>
			<pubDate>Fri, 17 Apr 2026 05:15:27 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:SEPIC.tex</comments>
		</item>
		<item>
			<title>File:SEPIC.pdf</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=543&amp;oldid=539</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:SEPIC.pdf&amp;diff=543&amp;oldid=539</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded a new version of &lt;a href=&quot;/File:SEPIC.pdf&quot; title=&quot;File:SEPIC.pdf&quot;&gt;File:SEPIC.pdf&lt;/a&gt; new section; more refs&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:08, 14 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;4&quot; class=&quot;diff-multi&quot; lang=&quot;en&quot;&gt;(One intermediate revision by the same user not shown)&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;See [[SEPIC.tex]] for the source code for this document.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 14 Apr 2026 04:08:09 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:SEPIC.pdf</comments>
		</item>
		<item>
			<title>SEPIC.tex</title>
			<link>https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=541&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=SEPIC.tex&amp;diff=541&amp;oldid=0</guid>
			<description>&lt;p&gt;source code&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;latex&amp;quot; line=&amp;quot;&amp;quot;&amp;gt;&lt;br /&gt;
\documentclass{article}&lt;br /&gt;
\usepackage{currfile}&lt;br /&gt;
\usepackage[utf8]{inputenc}&lt;br /&gt;
\usepackage{textcomp}&lt;br /&gt;
\usepackage{tikz}&lt;br /&gt;
\usepackage[american]{circuitikz}&lt;br /&gt;
\usepackage[backend=biber, style=numeric]{biblatex}&lt;br /&gt;
\usepackage{hyperref}&lt;br /&gt;
\hypersetup{&lt;br /&gt;
	colorlinks=true,&lt;br /&gt;
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	pdftitle={Controlling and Driving the SEPIC}&lt;br /&gt;
}&lt;br /&gt;
\begin{filecontents}[overwrite,nosearch]{\currfilebase.bib}&lt;br /&gt;
	@misc{IXFN520N075T2,&lt;br /&gt;
		author = {{Littelfuse/IXYS}},&lt;br /&gt;
		title = {IXFN520N075T2: DiscMSFT NChTrenchGateGen2 SOT-227B(mini | Series: Gen2},&lt;br /&gt;
		url = {https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-trench-gate/gen2/ixfn520n075t2}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{VS-FC420SA10,&lt;br /&gt;
		author = {{Vishay Semiconductors}},&lt;br /&gt;
		title = {VS-FC420SA10 PRODUCT INFORMATION:&lt;br /&gt;
			SOT-227 Power Module Single Switch - Power MOSFET, 420 A},&lt;br /&gt;
		url = {https://www.vishay.com/en/product/95793/}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{STPS200170TV1,&lt;br /&gt;
		author={{ST Microelectronics}},&lt;br /&gt;
		title={STPS200170TV1: 170 V, 200 A dual Power Schottky Rectifier},&lt;br /&gt;
		url={https://www.st.com/en/diodes-and-rectifiers/stps200170tv1.html}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{VS-203CNQ100PbF,&lt;br /&gt;
		author = {{Vishay Semiconductors}},&lt;br /&gt;
		title = {VS-203CNQ100PbF PRODUCT INFORMATION:&lt;br /&gt;
			High Performance Schottky Rectifier, 200 A},&lt;br /&gt;
		url = {https://www.vishay.com/en/product/94155/}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{apmcap,&lt;br /&gt;
		author = {{Absolute Pro Music}},&lt;br /&gt;
		title = {Search for ``capacitor&amp;#039;&amp;#039; ...},&lt;br /&gt;
		url = {https://absolutepromusic.com/search?q=capacitor}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{bossaudiocap,&lt;br /&gt;
		author = {{Boss Audio}},&lt;br /&gt;
		title = {Search for ``capacitor&amp;#039;&amp;#039; ...},&lt;br /&gt;
		url = {https://bossaudio.com/collections/sale?q=capacitor}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{LM5155,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {LM5155: 2.2-MHz wide VIN, 1.5-A MOSFET driver, non-synchronous boost controller},&lt;br /&gt;
		url = {https://www.ti.com/product/LM5155}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{LM51551,&lt;br /&gt;
		author={{Texas Instruments}},&lt;br /&gt;
		title = {LM51551: 2.2-MHz wide VIN nonsynchronous boost, flyback, {\&amp;amp;} SEPIC controller with hiccup},&lt;br /&gt;
		url = {https://www.ti.com/product/LM51551}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{LM5156H,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {LM5156H: 2.2-MHz wide VIN nonsynchronous boost, flyback, {\&amp;amp;} SEPIC controller with dual random spread spectrum},&lt;br /&gt;
		url = {https://www.ti.com/product/LM5156H}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{LM51561,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {LM51561: 2.2MHz Wide Input Nonsynchronous Boost, SEPIC, Flyback Controller with Spread Spectrum},&lt;br /&gt;
		url = {https://www.ti.com/product/LM51561}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{LM51561H,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {LM51561H: 2.2-MHz wide VIN nonsynchronous boost, flyback,  {\&amp;amp;} SEPIC controller with spread spectrum and hiccup},&lt;br /&gt;
		url = {https://www.ti.com/product/LM51561H}&lt;br /&gt;
	}&lt;br /&gt;
		@misc{TL5001,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {TL5001: PWM Controller with wide input range, with \textpm 5{\%} tolerance on reference, operation --20\textdegree C to 85\textdegree C},&lt;br /&gt;
		url = {https://www.ti.com/product/TL5001}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{TL5001A,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {TL5001A: PWM Controller with wide input range, with \textpm 3{\%} tolerance on reference, operation --20\textdegree C to 85\textdegree C},&lt;br /&gt;
		url = {https://www.ti.com/product/TL5001A}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{TL5001M,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {TL5001M: PWM Controller with wide input range, with \textpm 5{\%} tolerance on reference, operation  --55\textdegree C to 125\textdegree C},&lt;br /&gt;
		url = {https://www.ti.com/product/TL5001M}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{TL5001AM,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {TL5001AM: PWM Controller with wide input range, with \textpm 3{\%} tolerance on reference, operation --55\textdegree C to 125\textdegree C},&lt;br /&gt;
		url = {https://www.ti.com/product/TL5001AM}&lt;br /&gt;
	}&lt;br /&gt;
	@misc{LM555,&lt;br /&gt;
		author = {{Texas Instruments}},&lt;br /&gt;
		title = {LM555: Highly Stable 555 Timer},&lt;br /&gt;
		url = {https://www.ti.com/product/LM555}&lt;br /&gt;
	}&lt;br /&gt;
&lt;br /&gt;
\end{filecontents}&lt;br /&gt;
\addbibresource{\currfilebase.bib}&lt;br /&gt;
%opening&lt;br /&gt;
\title{Controlling and Driving the SEPIC}&lt;br /&gt;
\author{--- NON-PUBLISHED WORK-IN-PROGRESS ---}&lt;br /&gt;
&lt;br /&gt;
\begin{document}&lt;br /&gt;
&lt;br /&gt;
\maketitle&lt;br /&gt;
&lt;br /&gt;
\begin{abstract}&lt;br /&gt;
Investigating the ``Single Ended Primary Inductor Converter&amp;#039;&amp;#039; for use with residential, rooftop, commercial or industrial solar panels. The purpose of this study is to gain a more thorough understanding of the theory of operation of switching power supplies and ``charge controllers&amp;#039;&amp;#039; for solar panel systems before putting it in practice.&lt;br /&gt;
\end{abstract}&lt;br /&gt;
\tableofcontents&lt;br /&gt;
\begin{figure}&lt;br /&gt;
	\begin{center}&lt;br /&gt;
		\begin{circuitikz}&lt;br /&gt;
			\draw (2,3) -- ++(-2,0) to[pvsource, invert, l_=$V_1$] ++(0,-3) -- ++(2,0);&lt;br /&gt;
			\draw (2,3) node[circ]{} to[cute inductor, inductors/coils=5, l_=$L_1$, name=l1] ++(2,0) node[circ]{}&lt;br /&gt;
				to[curved capacitor, label=$C_2$] ++(2,0) node[circ]{}&lt;br /&gt;
				to[sDo, label=$D_1$, name=d1] ++(2,0)&lt;br /&gt;
				to[cute choke, inductors/coils=3, label=$L_3$]  ++(2,0) -- ++(0,-0.5) node[circ]{}&lt;br /&gt;
				to[european resistor, label=$R_1$] ++(0,-2.5) -- ++(-2,0);&lt;br /&gt;
			\draw (2,3) to[curved capacitor, l_=$C_1$] ++(0,-3) node[circ]{}&lt;br /&gt;
			-- ++(2,0) node[circ]{};&lt;br /&gt;
			\draw (4,1.5) node[nigfete, solderdot](Q1){$Q_1$};&lt;br /&gt;
			\node [right, font=\tiny] at (Q1.S) {S};&lt;br /&gt;
			\node [right, font=\tiny] at (Q1.D) {D};&lt;br /&gt;
			\node [above, font=\tiny] at (Q1.G) {G};&lt;br /&gt;
			\draw (Q1.D) -- (4,3); \draw (Q1.S)  -- (4,0);&lt;br /&gt;
			\draw  (4,0) -- ++(2,0) node[circ]{} to[cute inductor, inductors/coils=5, l_=$L_2$, name=l2] ++(0,3);&lt;br /&gt;
			\path (l1.lr dot) node[circ]{} (l2.lr dot) node[circ]{};&lt;br /&gt;
			\draw[thick, double] (l1.core west) -- (l1.core east);&lt;br /&gt;
			\draw[thick, double] (l2.core west) -- (l2.core east);&lt;br /&gt;
			\draw (10,2.5) -- ++(-1,0) to[curved capacitor, l_=$C_3$] ++(0,-2.5) node[circ]{}&lt;br /&gt;
			-- ++(-3,0);&lt;br /&gt;
			\draw (Q1.G) --++ (0,-1) to[square voltage source, l_=$PWM$] ++(0,-2) node[ground]{};&lt;br /&gt;
			\draw (10,0) node[circ]{} -- ++(0,-1.75) node[ground]{};&lt;br /&gt;
			\draw (9,2.5) node[circ]{} -- ++(-1.33,0) -- ++(0,-3.25) -- ++ (-3.67,0) node[vcc, rotate=90, label={\qquad\qquad feedback}]{};&lt;br /&gt;
		\end{circuitikz}&lt;br /&gt;
	\end{center}&lt;br /&gt;
	\caption{SEPIC circuit diagram}&lt;br /&gt;
		\label{f1}&lt;br /&gt;
\end{figure}&lt;br /&gt;
&lt;br /&gt;
\section{Introduction}&lt;br /&gt;
&lt;br /&gt;
The SEPIC is one of a number of regulated switching power supply topologies, among which are included various versions of Buck, Boost, Buck--Boost, Flyback, Zeta and \&amp;#039;Cuk\footnote{Named after the prolific Serbo-Croatian--American inventor Slobodan \&amp;#039;Cuk of the California Institute of Technology.} DC-to-DC converters, to name a few.&lt;br /&gt;
&lt;br /&gt;
\section{Discussion of the SEPIC topology}&lt;br /&gt;
&lt;br /&gt;
If the inductors $L_1$ and $L_2$ in Figure~\ref{f1} are coupled, or wound on the same iron core as indicated by the black dots in the diagram, then the capacitors $C_1$ and $C_2$ are essentially placed in parallel, and one or the other may be removed without affecting the circuit much, because the inductance in canceled out for any electric current flowing through $L_1$ and back the opposite way through $L_2$. Nevertheless, the capacitors $C_1$ and $C_2$ as placed serve to protect the power MOSFET $Q_1$ from transient ``spikes&amp;#039;&amp;#039; in the inductive windings.&lt;br /&gt;
&lt;br /&gt;
When $Q_1$ is switched on by the $PWM$, the current through $L_1$ increases, and when  $Q_1$ is switched off, the remaining magnetic flux in the iron core forces the current through the other winding $L_2$ past the diode $D_1$ to keep the capacitor $C_3$ charged and continue supplying power to the load resistance $R_1$. This is omitting $C_2$ from consideration, and depending on mutual inductance alone.&lt;br /&gt;
&lt;br /&gt;
However the circuit will still function if the inductors $L_1$ and $L_2$ are \textit{not} coupled and $C_2$ is present. In this case, $C_2$ is discharged by current flowing through $L_2$ when $Q_1$ is switched on, and additional supply current is admitted through $L_1$. Now when $Q_1$ is switched off, $C_2$ is charged again by current continuing through $L_1$, and the current that was flowing through $L_2$ as $C_2$ was discharging is suddenly switched and forced through the diode $D_1$ instead.&lt;br /&gt;
&lt;br /&gt;
When the inductors $L_1$ and $L_2$ are coupled, and $C_2$ is present, there is additional redundancy, stability, and reliability for the circuit.&lt;br /&gt;
&lt;br /&gt;
\section{Calculating the duty cycle of the PWM}&lt;br /&gt;
&lt;br /&gt;
A simple way to figure out the duty cycle of the pulse width modulator needed to produce the desired potential at the output is to consider that the mean potential at the drain of $Q_1$ over the switching cycle must be equal to the input potential $V_1$, and that potential is equal to zero, or the forward voltage drop of the transistor during the time when it is on, which we want as small as possible. That potential must then be high enough during the time when the transistor is off to average out to the correct value over the entire clock cycle $T$. Let $\tau$ be the pulse width, or the time when the power transistor $Q_1$ is turned on and conducting electricity between its source and drain:&lt;br /&gt;
&lt;br /&gt;
$$&lt;br /&gt;
\overline{V_Q} = V_1; \qquad V_{Q_\textrm{on}}=0;&lt;br /&gt;
\qquad V_{Q_\textrm{off}} = \frac{TV_1}{T-\tau}.&lt;br /&gt;
$$&lt;br /&gt;
&lt;br /&gt;
Now consider the operating potential $V_P$ at the anode of diode $D_1$.  At all times, $V_P$ is less than the potential $V_Q$ at the transistor drain by a difference equal to the input potential $V_1$.&lt;br /&gt;
&lt;br /&gt;
$$&lt;br /&gt;
V_P = V_Q - V_1.&lt;br /&gt;
$$&lt;br /&gt;
&lt;br /&gt;
So&lt;br /&gt;
&lt;br /&gt;
$$&lt;br /&gt;
\overline{V_P} = 0; \qquad V_{P_\textrm{on}}=-V_1;&lt;br /&gt;
\qquad V_{P_\textrm{off}} = \frac{\tau V_1}{T-\tau}.&lt;br /&gt;
$$&lt;br /&gt;
&lt;br /&gt;
Increasing the duty cycle $\tau/T$ will increase the potential $V_{P_\textrm{off}}$ which is available at the output less the forward drop through the diode $D_1$, but it will correspondingly decrease the clock-cycle-averaged current available at the increased potential. A Pulse Width Modulator with a feedback loop will assist in maintaining a stable output potential from a variable input potential from solar panels.&lt;br /&gt;
&lt;br /&gt;
\section{Size and scale of systems proposed}&lt;br /&gt;
&lt;br /&gt;
We propose off-grid solar electric power systems for use by ``sovereign citizens&amp;#039;&amp;#039; or ``freemen on the land&amp;#039;&amp;#039; (or even banks or broker houses that desire back-up power and money savings at the city electric meter) with about a dozen solar panels rated at 18V and 200W each, all connected in parallel to serve a common automotive-like 12V electrical system for which many accessories are commonly available, as well as inverters to generate 110VAC if desired.&lt;br /&gt;
&lt;br /&gt;
 \section{Selection of components and bill of materials}&lt;br /&gt;
&lt;br /&gt;
The selection of components is based on how much ``&amp;#039;ripple voltage&amp;#039;&amp;#039; and possible overheating of components we are willing to tolerate versus how much money we can afford and are willing to spend on bigger and better components for reliability and smoothness of the power supply system.&lt;br /&gt;
&lt;br /&gt;
\subsection{Power MOSFETs or IGBTs}&lt;br /&gt;
&lt;br /&gt;
For $Q_1$ in Figure~\ref{f1}, the Littelfuse/IXYS IXFN520N075T2 \cite{IXFN520N075T2} or the Vishay VS-FC420SA10 \cite{VS-FC420SA10} might be useful. IGBTs are better than MOSFETs for higher frequency switching but are much less desireable for a low-voltage system because of the forward voltage drop. Power MOSFETs may also require a higher gate voltage to turn on. &lt;br /&gt;
&lt;br /&gt;
\subsection{Power Schottky rectifier diodes}&lt;br /&gt;
&lt;br /&gt;
The ST Microelectronics STPS200170TV1 \cite{STPS200170TV1} and the Vishay VS-203CNQ100PbF \cite{VS-203CNQ100PbF} are likely candidates.&lt;br /&gt;
&lt;br /&gt;
\subsection{Power audio capacitors}&lt;br /&gt;
&lt;br /&gt;
We suggest using power audio capacitors from a music supply store \cite{apmcap,bossaudiocap} for the capacitors $C_1$, $C_2$ and $C_3$ in Figure~\ref{f1}, and certainly for that matter our proposed system will be capable of powering the high-end stereo systems offered at those stores. Check ratings carefully for use with 18--24 V. It may be possible to use two identical capacitors in series to double the voltage rating. Some care will be needed to switch them on to avoid a short-circuit inrush current.&lt;br /&gt;
&lt;br /&gt;
\subsection{Heavy iron inductors and power chokes}&lt;br /&gt;
&lt;br /&gt;
Inductors and chokes are to be wound by hand with varnished magnet wire of adquate gauge on suitably heavy toroidal cores of laminated mild electrical steel or ferrite to prevent saturation in normal use. The use of closed toroidal cores reduces radio and audio systems interference.&lt;br /&gt;
&lt;br /&gt;
\subsection{Pulse Width Modulators}&lt;br /&gt;
&lt;br /&gt;
We suggest a Texas Instruments line-up of pulse width modulators depending on the desired frequency.&lt;br /&gt;
&lt;br /&gt;
\subsubsection{High frequency}&lt;br /&gt;
&lt;br /&gt;
The LM515xx series \cite{LM5155,LM51551,LM5156H,LM51561,LM51561H} of pulse width modulators offer a dynamically programmable switching frequency ranging from 100 kHz to 2.2 MHz. Switching in the megahertz range for our application may incur excessive power losses and inefficiency in the large power MOSFETs \cite{STPS200170TV1,VS-203CNQ100PbF}.&lt;br /&gt;
&lt;br /&gt;
\subsubsection{Medium frequency}&lt;br /&gt;
&lt;br /&gt;
The TL5001xx series PWMs \cite{TL5001,TL5001A,TL5001M,TL5001AM} operate in the range of 20 kHz to 500 kHz.&lt;br /&gt;
&lt;br /&gt;
\subsubsection{Low frequency}&lt;br /&gt;
&lt;br /&gt;
The LM555 \cite{LM555} or similar ICs from many manufacturers may be used for frequencies below 20 kHz, but the 555 is a general purpose timer which will require additional customization and circuitry to use specifically for pulse width modulation.&lt;br /&gt;
\subsection{The feedback loop}&lt;br /&gt;
&lt;br /&gt;
There needs to be a stable and reliable automated method of adjusting the duty cycle of the PWM up and down between certain limits based on the difference between the desired correct output voltage and the actual output voltage measured.&lt;br /&gt;
&lt;br /&gt;
\printbibliography&lt;br /&gt;
\end{document}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;/div&gt;</description>
			<pubDate>Mon, 13 Apr 2026 23:51:20 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:SEPIC.tex</comments>
		</item>
		<item>
			<title>Solar systems</title>
			<link>https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=540&amp;oldid=523</link>
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			<description>&lt;p&gt;link&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:45, 13 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l45&quot;&gt;Line 45:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 45:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Component selection and Bill of Materials ===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Component selection and Bill of Materials ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;See [[File:SEPIC.pdf]] for details.&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The heart of the controller is a Pulse Width Modulation chip &amp;lt;ref&amp;gt;Some manufacturers and corporations will not like our attitude for referring to their integrated circuits as &amp;quot;chips&amp;quot; for sure, but at pawn shops and online auction sites selling jewelry and electronics one should not be ashamed to call them that. We have no opinions on offers of free samples direct from manufacturers or wholesalers, other than that they apparently contact local cops to enforce a litany of unwritten rules and unspoken codes sometimes pertaining to &amp;quot;intellectual property&amp;quot; by which hobbyists as opposed to professionals are supposed to abide.&amp;lt;/ref&amp;gt; like the Texas Instruments TL5001AMJG &amp;lt;ref&amp;gt;PWM Controller with wide input range, with ±3% tolerance on reference, operation –55°C to 125°C https://www.ti.com/product/TL5001AM&amp;lt;/ref&amp;gt;. These particular integrated circuits operate in a wide range between 3 and 40 volts, and also come in radiation-hardened versions, which suggests that they were used for solar panels to power satellites launched into outer space decades ago, many of which are still in service today.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The heart of the controller is a Pulse Width Modulation chip &amp;lt;ref&amp;gt;Some manufacturers and corporations will not like our attitude for referring to their integrated circuits as &amp;quot;chips&amp;quot; for sure, but at pawn shops and online auction sites selling jewelry and electronics one should not be ashamed to call them that. We have no opinions on offers of free samples direct from manufacturers or wholesalers, other than that they apparently contact local cops to enforce a litany of unwritten rules and unspoken codes sometimes pertaining to &amp;quot;intellectual property&amp;quot; by which hobbyists as opposed to professionals are supposed to abide.&amp;lt;/ref&amp;gt; like the Texas Instruments TL5001AMJG &amp;lt;ref&amp;gt;PWM Controller with wide input range, with ±3% tolerance on reference, operation –55°C to 125°C https://www.ti.com/product/TL5001AM&amp;lt;/ref&amp;gt;. These particular integrated circuits operate in a wide range between 3 and 40 volts, and also come in radiation-hardened versions, which suggests that they were used for solar panels to power satellites launched into outer space decades ago, many of which are still in service today.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Mon, 13 Apr 2026 23:45:28 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Solar_systems</comments>
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			<pubDate>Mon, 13 Apr 2026 23:43:33 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
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&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:Elliptic-curve-1.png|frame|right|The elliptic curve&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:Elliptic-curve-1.png|frame|right|The elliptic curve&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;y^2=x^3-x^2+\frac 12&amp;lt;/math&amp;gt;.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;y^2=x^3-x^2+\frac 12&amp;lt;/math&amp;gt;.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;There is cryptography here, the rudimentary framework of it.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[TO DO]]: Reminders, work in progress ...&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[TO DO]]: Reminders, work in progress ...&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;However, life gets in the way. Life is about punishing our enemies, and making them pay for all the trouble and sorrow they have caused us and continue to cause us. The Pagans had a creed, &quot;I will kill all my enemies.&quot; Once, having accomplished this, they accepted Christianity, but for a long time now, there is no peace, no rest on Sunday, since others we had thought to be friends and believed to be friends invited our enemies into our churches and usual places of worship to spite us. Perhaps they were ignorant, and perhaps in their ignorance they thought it was some small matter or another for which they could act as &quot;peacemakers&quot; — but no, those enemies really are our enemies, and they really are here to kill us, as that is their creed, on their side of the battle. Some of them wanted others to assume that we were all friends together, but that is not and cannot be the case. No. They bear malice which can no longer be concealed, and that is what bursts forth in open anger once ignorance is ruled out as a cause of their continual troublemaking.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;As an example of troublemaking one might consider the case of Alan Turing&#039;s dishonorable bosses and associates who insisted he was gay and tortured him to death on that account. All indications are that Alan Turing was simply much too straight and narrow for that &quot;sort of nonsense up with which we will not put&quot; to paraphrase Winston Churchill.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Sun, 12 Apr 2026 23:41:33 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Main_Page</comments>
		</item>
		<item>
			<title>Magnetic permeability</title>
			<link>https://www.ellipticcurve.info/index.php?title=Magnetic_permeability&amp;diff=536&amp;oldid=534</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Magnetic_permeability&amp;diff=536&amp;oldid=534</guid>
			<description>&lt;p&gt;Example problem&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:01, 12 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:&amp;#039;&amp;#039;μ&amp;#039;&amp;#039; =  &amp;#039;&amp;#039;Lℓ&amp;#039;&amp;#039; / &amp;#039;&amp;#039;N&amp;#039;&amp;#039;&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&amp;#039;&amp;#039;A&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:&amp;#039;&amp;#039;μ&amp;#039;&amp;#039; =  &amp;#039;&amp;#039;Lℓ&amp;#039;&amp;#039; / &amp;#039;&amp;#039;N&amp;#039;&amp;#039;&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&amp;#039;&amp;#039;A&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=== Example ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:Inductor 20260412~2.jpg|thumb|alt=Measuring inductance|Measuring inductance|none]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For this example, L=1.813mH, &#039;&#039;Φ&#039;&#039;=102mm, &#039;&#039;φ&#039;&#039;=65.5mm, A=18.25mm×19.5mm, and N=23.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Problem: calculate the magnetic permeability of the material of which this core is made.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Sun, 12 Apr 2026 15:01:22 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Magnetic_permeability</comments>
		</item>
		<item>
			<title>File:Inductor 20260412~2.jpg</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:Inductor_20260412~2.jpg&amp;diff=535&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:Inductor_20260412~2.jpg&amp;diff=535&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded &lt;a href=&quot;/File:Inductor_20260412~2.jpg&quot; title=&quot;File:Inductor 20260412~2.jpg&quot;&gt;File:Inductor 20260412~2.jpg&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;/div&gt;</description>
			<pubDate>Sun, 12 Apr 2026 14:46:03 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:Inductor_20260412~2.jpg</comments>
		</item>
		<item>
			<title>Magnetic permeability</title>
			<link>https://www.ellipticcurve.info/index.php?title=Magnetic_permeability&amp;diff=534&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Magnetic_permeability&amp;diff=534&amp;oldid=0</guid>
			<description>&lt;p&gt;harmonic mean path length&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Calculating the magnetic permeability of a toroid core ==&lt;br /&gt;
&lt;br /&gt;
:&amp;#039;&amp;#039;L&amp;#039;&amp;#039; = &amp;#039;&amp;#039;μN&amp;#039;&amp;#039;&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&amp;#039;&amp;#039;A&amp;#039;&amp;#039; / &amp;#039;&amp;#039;ℓ&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
where &amp;#039;&amp;#039;L&amp;#039;&amp;#039; is the inductance of a winding of wire about a magnetic core, &amp;#039;&amp;#039;μ&amp;#039;&amp;#039; is the magnetic permeability of the core, &amp;#039;&amp;#039;N&amp;#039;&amp;#039; is the number of turns of wire, A is the (constant) cross-sectional area of the core and &amp;#039;&amp;#039;ℓ&amp;#039;&amp;#039; is the harmonic mean path length of magnetic flux through the core. If &amp;#039;&amp;#039;Φ&amp;#039;&amp;#039; is the outer diameter and &amp;#039;&amp;#039;φ&amp;#039;&amp;#039; is the inner diameter of a toroidal core with a rectangular cross section, then the harmonic mean path length is calculated:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\ell = \pi\cdot\frac{\Phi-\phi}{\int_{\phi}^{\Phi} \frac {dx}x} = \pi\cdot\frac{\Phi-\phi}{\log\Phi-\log\phi}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Now&lt;br /&gt;
&lt;br /&gt;
:&amp;#039;&amp;#039;μ&amp;#039;&amp;#039; =  &amp;#039;&amp;#039;Lℓ&amp;#039;&amp;#039; / &amp;#039;&amp;#039;N&amp;#039;&amp;#039;&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&amp;#039;&amp;#039;A&amp;#039;&amp;#039;&lt;/div&gt;</description>
			<pubDate>Sat, 11 Apr 2026 22:37:14 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Magnetic_permeability</comments>
		</item>
		<item>
			<title>555</title>
			<link>https://www.ellipticcurve.info/index.php?title=555&amp;diff=533&amp;oldid=522</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=555&amp;diff=533&amp;oldid=522</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Notes&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:32, 8 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;4&quot; class=&quot;diff-multi&quot; lang=&quot;en&quot;&gt;(4 intermediate revisions by the same user not shown)&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:555-op-amp-ctl.svg|thumb|alt=555 op amp demo|Simple Demonstration Circuit]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The &amp;#039;&amp;#039;&amp;#039;555&amp;#039;&amp;#039;&amp;#039; is a ubiquitous &amp;quot;timer&amp;quot; chip used by electronics hobbyists and experimenters.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The &amp;#039;&amp;#039;&amp;#039;555&amp;#039;&amp;#039;&amp;#039; is a ubiquitous &amp;quot;timer&amp;quot; chip used by electronics hobbyists and experimenters.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:555-op-amp-ctl.svg|&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;thumb&lt;/del&gt;|&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;alt&lt;/del&gt;=&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;555 op amp demo&lt;/del&gt;|&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Simple Demonstration Circuit&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Clocking the 555 ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The simple demonstration circuit depicted above right is probably the simplest external clock for the 555. Below we have hastily constructed a true precision “clock” using four off-the-shelf bipolar transistors and some auxiliary resistors.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This circuit below operates by charging capacitor C1 through resistor R5 only up to the trigger level of 2/3 the supplied voltage, and then discharging the same capacitor down to the threshold value of 1/3 the supplied voltage through resistor R2 only.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:555-op-amp-ctl&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-clock&lt;/ins&gt;.svg|&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;frameless&lt;/ins&gt;|&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;none]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Notes ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Transistors Q1 and Q4 operating in parallel appear redundant, and it would seem desirable to simplify the circuit to eliminate one of them. We have not determined the best way to do this with a simulated design, however.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;R9 is an arbitrary load resistor for the output, probably less than desirable.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;We have produced a simulated oscilloscope trace using Ngspice &amp;lt;ref&amp;gt;ngspice - open source spice simulator https://ngspice.sourceforge.io/&amp;lt;/ref&amp;gt; and/or LTspice &amp;lt;ref&amp;gt;“LTspice® is a powerful, fast, and free SPICE simulator software…” https://www.analog.com/en/resources/design-tools-and-calculators/ltspice-simulator.html&amp;lt;/ref&amp;gt; on KiCad &amp;lt;ref&amp;gt;KiCad: A Cross Platform and Open Source PCB Design Suite https://www.kicad.org/&amp;lt;/ref&amp;gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:Plot555-2026-04-06.png|frameless&lt;/ins&gt;|&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;none&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Electronics]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Electronics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Wed, 08 Apr 2026 15:32:28 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:555</comments>
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			<title>File:Plot555-2026-04-06.png</title>
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			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded &lt;a href=&quot;/File:Plot555-2026-04-06.png&quot; title=&quot;File:Plot555-2026-04-06.png&quot;&gt;File:Plot555-2026-04-06.png&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;/div&gt;</description>
			<pubDate>Wed, 08 Apr 2026 14:57:03 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:Plot555-2026-04-06.png</comments>
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			<title>File:555-op-amp-ctl-clock.svg</title>
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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;/div&gt;</description>
			<pubDate>Wed, 08 Apr 2026 14:32:11 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:555-op-amp-ctl-clock.svg</comments>
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			<title>Main Page</title>
			<link>https://www.ellipticcurve.info/index.php?title=Main_Page&amp;diff=526&amp;oldid=524</link>
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			<description>&lt;p&gt;TO DO&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:45, 4 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;y^2=x^3-x^2+\frac 12&amp;lt;/math&amp;gt;.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;y^2=x^3-x^2+\frac 12&amp;lt;/math&amp;gt;.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[TO DO]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;[[TO DO]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: Reminders, work in progress ...&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Sat, 04 Apr 2026 14:45:04 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Main_Page</comments>
		</item>
		<item>
			<title>TO DO</title>
			<link>https://www.ellipticcurve.info/index.php?title=TO_DO&amp;diff=525&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=TO_DO&amp;diff=525&amp;oldid=0</guid>
			<description>&lt;p&gt;TO DO stuff moved off front page&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== TO DO: ==&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;It&amp;#039;s a total show-stopper: Get rid of the third-party equation-running services.&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
=== Example error message when editing equations ===&lt;br /&gt;
&amp;lt;p style=&amp;quot;overflow:auto;color:red;border:1pt solid black;padding:2ex&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&amp;lt;strong&amp;gt;&amp;lt;nowiki&amp;gt;Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response (&amp;quot;Math extension cannot connect to Restbase.&amp;quot;) from server &amp;quot;https://wikimedia.org/api/rest_v1/&amp;quot;:): {\displaystyle E=mc^2}&amp;lt;/nowiki&amp;gt;&amp;lt;/strong&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/p&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;strong&amp;gt;&amp;lt;tt&amp;gt;[https://wikimedia.org/api/rest_v1/ &amp;quot;https://wikimedia.org/api/rest_v1/&amp;quot;]&amp;lt;/tt&amp;gt;&amp;lt;/strong&amp;gt; Huh? What&amp;#039;s that for?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;p style=&amp;quot;overflow:auto;background-color:HotPink;padding:1ex&amp;gt;&lt;br /&gt;
Example workaround code is here: &amp;lt;big&amp;gt;&amp;#039;&amp;#039;&amp;#039;[[Pure HTML Math]]&amp;#039;&amp;#039;&amp;#039;&amp;lt;/big&amp;gt; for equations without 3&amp;lt;sup&amp;gt;rd&amp;lt;/sup&amp;gt;-party SaaS or equation-running malware. Please take a look and experiment yourself.&lt;br /&gt;
&amp;lt;/p&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Mathjax and Mathoid or Restbase or related services or funky MathML browser plugins are notorious for containing malicious code and spyware, and hidden calls to third party API services.&lt;br /&gt;
&lt;br /&gt;
Math equations cannot be made up “beautiful” or spread “all over the web” or ripped off or dynamically rendered on other people’s websites. Math equations are highly technical, and they need to be left alone on people&amp;#039;s websites, precisely as is, without any extraneous garbage dependencies or third party API services or pop-ups or dollar-sign script-runners or other javascript nonsense called in to dynamically render or display them.&lt;br /&gt;
&lt;br /&gt;
The math jerks and the malicious software math equation web APIs gotta go.  Stop running off with all the math equations out the back door!&lt;br /&gt;
&lt;br /&gt;
* https://www.etsy.com/market/hippity_hoppity_get_off_my_property_sign&lt;br /&gt;
* https://www.mysecuritysign.com/funny-hippity-hoppity-get-off-my-property-frog-sign/sku-s2-5588&lt;br /&gt;
* https://highceeaerials.com/hippity-hoppity-get-off-of-my-property/&lt;br /&gt;
* https://threeinfive.com/hippity-hoppity-get-off-my-property-kermit/&lt;/div&gt;</description>
			<pubDate>Sat, 04 Apr 2026 14:43:45 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:TO_DO</comments>
		</item>
		<item>
			<title>Main Page</title>
			<link>https://www.ellipticcurve.info/index.php?title=Main_Page&amp;diff=524&amp;oldid=459</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Main_Page&amp;diff=524&amp;oldid=459</guid>
			<description>&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:42, 4 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;y^2=x^3-x^2+\frac 12&amp;lt;/math&amp;gt;.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;y^2=x^3-x^2+\frac 12&amp;lt;/math&amp;gt;.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== &lt;/del&gt;TO DO&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: ==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;TO DO]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;It&#039;s a total show-stopper: Get rid of the third-party equation-running services.&#039;&#039;&#039;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=== Example error message when editing equations ===&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;p style=&quot;overflow:auto;color:red;border:1pt solid black;padding:2ex&quot;&amp;gt;&amp;lt;big&amp;gt;&amp;lt;strong&amp;gt;&amp;lt;nowiki&amp;gt;Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response (&quot;Math extension cannot connect to Restbase.&quot;) from server &quot;https://wikimedia.org/api/rest_v1/&quot;:): {\displaystyle E=mc^2}&amp;lt;/nowiki&amp;gt;&amp;lt;/strong&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/p&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &amp;lt;strong&amp;gt;&amp;lt;tt&amp;gt;[https://wikimedia.org/api/rest_v1/ &quot;https://wikimedia.org/api/rest_v1/&quot;]&amp;lt;/tt&amp;gt;&amp;lt;/strong&amp;gt; Huh? What&#039;s that for?&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;p style=&quot;overflow:auto;background-color:HotPink;padding:1ex&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Example workaround code is here: &amp;lt;big&amp;gt;&#039;&#039;&#039;[[Pure HTML Math&lt;/del&gt;]]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&amp;lt;/big&amp;gt; for equations without 3&amp;lt;sup&amp;gt;rd&amp;lt;/sup&amp;gt;-party SaaS or equation-running malware. Please take a look and experiment yourself.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/p&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Mathjax and Mathoid or Restbase or related services or funky MathML browser plugins are notorious for containing malicious code and spyware, and hidden calls to third party API services.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Math equations cannot be made up “beautiful” or spread “all over the web” or ripped off or dynamically rendered on other people’s websites. Math equations are highly technical, and they need to be left alone on people&#039;s websites, precisely as is, without any extraneous garbage dependencies or third party API services or pop-ups or dollar-sign script-runners or other javascript nonsense called in to dynamically render or display them.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The math jerks and the malicious software math equation web APIs gotta go.  Stop running off with all the math equations out the back door!&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* https://www.etsy.com/market/hippity_hoppity_get_off_my_property_sign&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* https://www.mysecuritysign.com/funny-hippity-hoppity-get-off-my-property-frog-sign/sku-s2-5588&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* https://highceeaerials.com/hippity-hoppity-get-off-of-my-property/&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* https://threeinfive.com/hippity-hoppity-get-off-my-property-kermit/&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Sat, 04 Apr 2026 14:42:37 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Main_Page</comments>
		</item>
		<item>
			<title>Solar systems</title>
			<link>https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=523&amp;oldid=519</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=523&amp;oldid=519</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Component selection and Bill of Materials&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:55, 3 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l48&quot;&gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The heart of the controller is a Pulse Width Modulation chip &amp;lt;ref&amp;gt;Some manufacturers and corporations will not like our attitude for referring to their integrated circuits as &amp;quot;chips&amp;quot; for sure, but at pawn shops and online auction sites selling jewelry and electronics one should not be ashamed to call them that. We have no opinions on offers of free samples direct from manufacturers or wholesalers, other than that they apparently contact local cops to enforce a litany of unwritten rules and unspoken codes sometimes pertaining to &amp;quot;intellectual property&amp;quot; by which hobbyists as opposed to professionals are supposed to abide.&amp;lt;/ref&amp;gt; like the Texas Instruments TL5001AMJG &amp;lt;ref&amp;gt;PWM Controller with wide input range, with ±3% tolerance on reference, operation –55°C to 125°C https://www.ti.com/product/TL5001AM&amp;lt;/ref&amp;gt;. These particular integrated circuits operate in a wide range between 3 and 40 volts, and also come in radiation-hardened versions, which suggests that they were used for solar panels to power satellites launched into outer space decades ago, many of which are still in service today.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The heart of the controller is a Pulse Width Modulation chip &amp;lt;ref&amp;gt;Some manufacturers and corporations will not like our attitude for referring to their integrated circuits as &amp;quot;chips&amp;quot; for sure, but at pawn shops and online auction sites selling jewelry and electronics one should not be ashamed to call them that. We have no opinions on offers of free samples direct from manufacturers or wholesalers, other than that they apparently contact local cops to enforce a litany of unwritten rules and unspoken codes sometimes pertaining to &amp;quot;intellectual property&amp;quot; by which hobbyists as opposed to professionals are supposed to abide.&amp;lt;/ref&amp;gt; like the Texas Instruments TL5001AMJG &amp;lt;ref&amp;gt;PWM Controller with wide input range, with ±3% tolerance on reference, operation –55°C to 125°C https://www.ti.com/product/TL5001AM&amp;lt;/ref&amp;gt;. These particular integrated circuits operate in a wide range between 3 and 40 volts, and also come in radiation-hardened versions, which suggests that they were used for solar panels to power satellites launched into outer space decades ago, many of which are still in service today.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Littelfuse/IXYS IXFN520N075T2&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-trench-gate/gen2/ixfn520n075t2&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 Datasheet https://www.littelfuse.com/assetdocs/littelfuse-discrete-mosfets-ixfn520n075t2-datasheet?assetguid=8706a9d1-94c2-4e6f-8277-46cab5c71388&amp;lt;/ref&amp;gt; power MOSFET &quot;trench gate&quot; is essentially rated to handle 480A in the on state and 75V in the off state. The Vishay VS-FC420SA10 &amp;lt;ref&amp;gt;VS-FC420SA10 Product Information https://www.vishay.com/en/product/95793/&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Vishay VS-FC420SA10 Datasheet https://www.vishay.com/docs/95793/vs-fc420sa10.pdf&amp;lt;/ref&amp;gt; is another brand of power MOSFET rated to carry 435A when on or hold 100V when off. It comes in the same form factor, an SOT-227 which looks and acts like a miniature clothes iron, and requires an excellent heat sink rated for switching losses and forward voltage drop at the rated current. It would appear that if either of these devices functions as advertised, you could easily start an automobile with the electric current they are rated for handling if you wired one of them up in place of a solenoid for the starter motor.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Littelfuse/IXYS IXFN520N075T2&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-trench-gate/gen2/ixfn520n075t2&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 Datasheet https://www.littelfuse.com/assetdocs/littelfuse-discrete-mosfets-ixfn520n075t2-datasheet?assetguid=8706a9d1-94c2-4e6f-8277-46cab5c71388&amp;lt;/ref&amp;gt; power MOSFET &quot;trench gate&quot; is essentially rated to handle 480A in the on state and 75V in the off state. The Vishay VS-FC420SA10 &amp;lt;ref&amp;gt;VS-FC420SA10 Product Information https://www.vishay.com/en/product/95793/&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Vishay VS-FC420SA10 Datasheet https://www.vishay.com/docs/95793/vs-fc420sa10.pdf&amp;lt;/ref&amp;gt; is another brand of power MOSFET rated to carry 435A when on or hold 100V when off. It comes in the same form factor, an SOT-227 which looks and acts like a miniature clothes iron, and requires an excellent heat sink rated for switching losses and forward voltage drop at the rated current. It would appear that if either of these devices functions as advertised, you could easily start an automobile with the electric current they are rated for handling if you wired one of them up in place of a solenoid for the starter motor. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;As far as we can tell, this can actually be done, except that the high power MOSFETS require 10V to drive the gate, and the drawdown on a 12V car battery from the starting current will reduce the voltage below the gate actuation level.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Insulated-Gate Bipolar Transistors (IGBTs)&amp;lt;ref&amp;gt;Insulated-Gate Bipolar Transistors (IGBTs) https://toshiba.semicon-storage.com/us/semiconductor/knowledge/e-learning/discrete/chap3/chap3-16.html&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Comparison of Forward Characteristics of IGBTs and MOSFETs&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; https://toshiba.semicon-storage.com/us/semiconductor/knowledge/e-learning/discrete/chap3/chap3-21.html&amp;lt;/ref&amp;gt; are another option for the high power current switching needed for the Buck-Boost or SEPIC controllers that need to be used for regulating the voltage from variably sunlit photovoltaic cells to a usable level.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Electronics]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Batteries ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Batteries ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;tbd ...&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;tbd ...&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Fri, 03 Apr 2026 15:55:01 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Solar_systems</comments>
		</item>
		<item>
			<title>555</title>
			<link>https://www.ellipticcurve.info/index.php?title=555&amp;diff=522&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=555&amp;diff=522&amp;oldid=0</guid>
			<description>&lt;p&gt;demo&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;555&amp;#039;&amp;#039;&amp;#039; is a ubiquitous &amp;quot;timer&amp;quot; chip used by electronics hobbyists and experimenters.&lt;br /&gt;
&lt;br /&gt;
[[File:555-op-amp-ctl.svg|thumb|alt=555 op amp demo|Simple Demonstration Circuit]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Electronics]]&lt;/div&gt;</description>
			<pubDate>Fri, 03 Apr 2026 04:50:59 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:555</comments>
		</item>
		<item>
			<title>File:555-op-amp-ctl.svg</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:555-op-amp-ctl.svg&amp;diff=521&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:555-op-amp-ctl.svg&amp;diff=521&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded &lt;a href=&quot;/File:555-op-amp-ctl.svg&quot; title=&quot;File:555-op-amp-ctl.svg&quot;&gt;File:555-op-amp-ctl.svg&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;/div&gt;</description>
			<pubDate>Fri, 03 Apr 2026 04:47:50 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:555-op-amp-ctl.svg</comments>
		</item>
		<item>
			<title>File:Ss-2.svg</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:Ss-2.svg&amp;diff=520&amp;oldid=517</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:Ss-2.svg&amp;diff=520&amp;oldid=517</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Summary&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:46, 2 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Summary ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Summary ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Another model using the LM51561H&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Another model using the LM51561H&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Very sketchy. We have not had success running the official SPICE simulation distributed with this product.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It is a very delicate surface mount chip about 5mm×6mm with 14 pins spaced at a 0.65mm pitch, and requiring a heat sink. Another version is 2mm×3mm and has 12 surface mount solder pads with a 0.5mm spacing.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;We are not dealing with very high frequencies and we would prefer to avoid chips that are so tiny and delicate.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;However, for those who know what they are doing and have the knowledge and experience to make these things work, they might be just fine, assuming they do function as documented.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Thu, 02 Apr 2026 16:46:31 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:Ss-2.svg</comments>
		</item>
		<item>
			<title>Solar systems</title>
			<link>https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=519&amp;oldid=516</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=Solar_systems&amp;diff=519&amp;oldid=516</guid>
			<description>&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Component selection and Bill of Materials: &lt;/span&gt; alternative power MOSFET&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:34, 2 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;4&quot; class=&quot;diff-multi&quot; lang=&quot;en&quot;&gt;(One intermediate revision by the same user not shown)&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l29&quot;&gt;Line 29:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 29:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Charge controller==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Charge controller==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Ss-1.svg|alt=Solar Cell System with Charge Controller and Battery|thumb|Solar Cell System with Charge Controller and Battery]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Ss-1.svg|alt=Solar Cell System with Charge Controller and Battery|thumb|Solar Cell System with Charge Controller and Battery &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(using TI TL5001AMJG)&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:Ss-2.svg|alt=Solar Cell System with Charge Controller and Battery|thumb|Solar Cell System with Charge Controller and Battery (using TI LM51561HPWPR)]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We find that off-the-shelf charge controllers are over-rated and overpriced, and we propose building one from scratch with adequate safety margins for high household power requirements.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We find that off-the-shelf charge controllers are over-rated and overpriced, and we propose building one from scratch with adequate safety margins for high household power requirements.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Buck-Boost Converter&amp;lt;ref&amp;gt;Buck-Boost Converter: What is it? (Formula and Circuit Diagram) https://www.electrical4u.com/buck-boost-converter/&amp;lt;/ref&amp;gt; or Single-Ended Primary Inductor Converter (SEPIC)&amp;lt;ref&amp;gt;SEPIC Converters https://www.monolithicpower.com/en/learning/mpscholar/power-electronics/dc-dc-converters/sepic-converters&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dongbing Zhang. &quot;AN-1484 Designing A SEPIC Converter.&quot; Application Report SNVA168E – May 2006 – Revised April 2013. https://www.ti.com/lit/an/snva168e/snva168e.pdf &amp;lt;/ref&amp;gt; is typically used for this purpose.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Buck-Boost Converter &amp;lt;ref&amp;gt;Buck-Boost Converter: What is it? (Formula and Circuit Diagram) https://www.electrical4u.com/buck-boost-converter/&amp;lt;/ref&amp;gt; or Single-Ended Primary Inductor Converter (SEPIC) &amp;lt;ref&amp;gt;SEPIC Converters https://www.monolithicpower.com/en/learning/mpscholar/power-electronics/dc-dc-converters/sepic-converters&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dongbing Zhang. &quot;AN-1484 Designing A SEPIC Converter.&quot; Application Report SNVA168E – May 2006 – Revised April 2013. https://www.ti.com/lit/an/snva168e/snva168e.pdf &amp;lt;/ref&amp;gt; is typically used for this purpose.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;An inductor, coil or transformer may be wound by hand using a adequate gauge of thinly insulated Tefzel or similar wire on a used or salvaged laminated or powdered iron core. The core of a transformer or inductor, if not powdered cerrite, must be made of thin layers of soft tempered malleable iron or mild steel that will swing the needle of a compass, and it should never be &amp;quot;quenched&amp;quot; or &amp;quot;saturated.&amp;quot; The laminated iron core should be &amp;quot;tanned&amp;quot; with oak gall and waxed with beeswax and/or lacquered with boiled linseed oil to form insulative layers of oxide and wax or lacquer between the layers of steel, so that the transformer will not short out between the layers of steel and melt down under load. The windings of wire on a homemade transformer or inductor should be of the purest copper, smoothly drawn, carefully annealed to a soft temper, ductile, and flexible, with the best quality of insulation that is not too thick. Take care that wire windings are smooth and not bent or creased on sharp corners.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;An inductor, coil or transformer may be wound by hand using a adequate gauge of thinly insulated Tefzel or similar wire on a used or salvaged laminated or powdered iron core. The core of a transformer or inductor, if not powdered cerrite, must be made of thin layers of soft tempered malleable iron or mild steel that will swing the needle of a compass, and it should never be &amp;quot;quenched&amp;quot; or &amp;quot;saturated.&amp;quot; The laminated iron core should be &amp;quot;tanned&amp;quot; with oak gall and waxed with beeswax and/or lacquered with boiled linseed oil to form insulative layers of oxide and wax or lacquer between the layers of steel, so that the transformer will not short out between the layers of steel and melt down under load. The windings of wire on a homemade transformer or inductor should be of the purest copper, smoothly drawn, carefully annealed to a soft temper, ductile, and flexible, with the best quality of insulation that is not too thick. Take care that wire windings are smooth and not bent or creased on sharp corners.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l46&quot;&gt;Line 46:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The heart of the controller is a Pulse Width Modulation chip &amp;lt;ref&amp;gt;Some manufacturers and corporations will not like our attitude for referring to their integrated circuits as &amp;quot;chips&amp;quot; for sure, but at pawn shops and online auction sites selling jewelry and electronics one should not be ashamed to call them that. We have no opinions on offers of free samples direct from manufacturers or wholesalers, other than that they apparently contact local cops to enforce a litany of unwritten rules and unspoken codes sometimes pertaining to &amp;quot;intellectual property&amp;quot; by which hobbyists as opposed to professionals are supposed to abide.&amp;lt;/ref&amp;gt; like the Texas Instruments TL5001AMJG &amp;lt;ref&amp;gt;PWM Controller with wide input range, with ±3% tolerance on reference, operation –55°C to 125°C https://www.ti.com/product/TL5001AM&amp;lt;/ref&amp;gt;. These particular integrated circuits operate in a wide range between 3 and 40 volts, and also come in radiation-hardened versions, which suggests that they were used for solar panels to power satellites launched into outer space decades ago, many of which are still in service today.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The heart of the controller is a Pulse Width Modulation chip &amp;lt;ref&amp;gt;Some manufacturers and corporations will not like our attitude for referring to their integrated circuits as &amp;quot;chips&amp;quot; for sure, but at pawn shops and online auction sites selling jewelry and electronics one should not be ashamed to call them that. We have no opinions on offers of free samples direct from manufacturers or wholesalers, other than that they apparently contact local cops to enforce a litany of unwritten rules and unspoken codes sometimes pertaining to &amp;quot;intellectual property&amp;quot; by which hobbyists as opposed to professionals are supposed to abide.&amp;lt;/ref&amp;gt; like the Texas Instruments TL5001AMJG &amp;lt;ref&amp;gt;PWM Controller with wide input range, with ±3% tolerance on reference, operation –55°C to 125°C https://www.ti.com/product/TL5001AM&amp;lt;/ref&amp;gt;. These particular integrated circuits operate in a wide range between 3 and 40 volts, and also come in radiation-hardened versions, which suggests that they were used for solar panels to power satellites launched into outer space decades ago, many of which are still in service today.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Littelfuse/IXYS IXFN520N075T2&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-trench-gate/gen2/ixfn520n075t2&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 Datasheet https://www.littelfuse.com/assetdocs/littelfuse-discrete-mosfets-ixfn520n075t2-datasheet?assetguid=8706a9d1-94c2-4e6f-8277-46cab5c71388&amp;lt;/ref&amp;gt; power MOSFET &quot;trench gate&quot; is essentially rated to handle 480A in the on state and 75V in the off state.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Littelfuse/IXYS IXFN520N075T2&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-trench-gate/gen2/ixfn520n075t2&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Littelfuse/IXYS IXFN520N075T2 Datasheet https://www.littelfuse.com/assetdocs/littelfuse-discrete-mosfets-ixfn520n075t2-datasheet?assetguid=8706a9d1-94c2-4e6f-8277-46cab5c71388&amp;lt;/ref&amp;gt; power MOSFET &quot;trench gate&quot; is essentially rated to handle 480A in the on state and 75V in the off state&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. The Vishay VS-FC420SA10 &amp;lt;ref&amp;gt;VS-FC420SA10 Product Information https://www.vishay.com/en/product/95793/&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Vishay VS-FC420SA10 Datasheet https://www.vishay.com/docs/95793/vs-fc420sa10.pdf&amp;lt;/ref&amp;gt; is another brand of power MOSFET rated to carry 435A when on or hold 100V when off. It comes in the same form factor, an SOT-227 which looks and acts like a miniature clothes iron, and requires an excellent heat sink rated for switching losses and forward voltage drop at the rated current. It would appear that if either of these devices functions as advertised, you could easily start an automobile with the electric current they are rated for handling if you wired one of them up in place of a solenoid for the starter motor&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Batteries ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Batteries ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;tbd ...&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;tbd ...&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Thu, 02 Apr 2026 16:34:05 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/Talk:Solar_systems</comments>
		</item>
		<item>
			<title>File:Ss-2.svg</title>
			<link>https://www.ellipticcurve.info/index.php?title=File:Ss-2.svg&amp;diff=517&amp;oldid=0</link>
			<guid isPermaLink="false">https://www.ellipticcurve.info/index.php?title=File:Ss-2.svg&amp;diff=517&amp;oldid=0</guid>
			<description>&lt;p&gt;&lt;a href=&quot;/User:Rational_Point/editsource?redlink=1&quot; class=&quot;new mw-userlink&quot; title=&quot;User:Rational Point (page does not exist)&quot;&gt;&lt;bdi&gt;Rational Point&lt;/bdi&gt;&lt;/a&gt; uploaded &lt;a href=&quot;/File:Ss-2.svg&quot; title=&quot;File:Ss-2.svg&quot;&gt;File:Ss-2.svg&lt;/a&gt; Another model using the LM51561H&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Summary ==&lt;br /&gt;
Another model using the LM51561H&lt;/div&gt;</description>
			<pubDate>Mon, 30 Mar 2026 15:30:23 GMT</pubDate>
			<dc:creator>Rational Point</dc:creator>
			<comments>https://www.ellipticcurve.info/File_talk:Ss-2.svg</comments>
		</item>
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