Update 2022-02-09 07:44
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-02-08 Tue 17:21 -->
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<!-- 2022-02-09 Wed 07:31 -->
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<title>Pre-Quantum Electrodynamics</title>
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@@ -1616,13 +1616,13 @@ Table of contents
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</ul>
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</details>
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</nav>
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<ul class="navigation-links"><li>Prev: <a href="ems_ca_sv.html">Separation of Variables <small>[ems.ca.sv]</small></a></li><li>Next: <a href="ems_ca_sv_cyl.html">Cylindrical Coordinates <small>[ems.ca.sv.cyl]</small></a></li><li>Up: <a href="ems_ca_sv.html">Separation of Variables <small>[ems.ca.sv]</small></a></li></ul><div id="outline-container-ems_ca_sv_car" class="outline-5">
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<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="ems.html">Electromagnetostatics</a></li><li><a class="breadcrumb-link"href="ems_ca.html">Calculating or Approximating the Electrostatic Potential</a></li><li><a class="breadcrumb-link"href="ems_ca_sv.html">Separation of Variables</a></li><li>Cartesian Coordinates</li></ul><ul class="navigation-links"><li>Prev: <a href="ems_ca_sv.html">Separation of Variables <small>[ems.ca.sv]</small></a></li><li>Next: <a href="ems_ca_sv_cyl.html">Cylindrical Coordinates <small>[ems.ca.sv.cyl]</small></a></li><li>Up: <a href="ems_ca_sv.html">Separation of Variables <small>[ems.ca.sv]</small></a></li></ul><div id="outline-container-ems_ca_sv_car" class="outline-5">
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<h5 id="ems_ca_sv_car">Cartesian Coordinates<a class="headline-permalink" href="./ems_ca_sv_car.html#ems_ca_sv_car"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a><span class="headline-id">ems.ca.sv.car</span></h5>
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<div class="outline-text-5" id="text-ems_ca_sv_car">
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<div class="example div" id="org30edbf0">
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<div class="example div" id="org36a112b">
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<p>
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{\bf Example: separation of variables (Cartesian coordinates)}<br>
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Two infinite grounded metal plates parallel to the \(xz\) plane, one at \(y = 0\) and the
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@@ -1723,7 +1723,7 @@ V(x,y) = \frac{4V_0}{\pi}\sum_{n=1, 3, 5, ...}^{\infty} \frac{1}{n} e^{-n\pi x/a
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</p>
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<div class="example div" id="org276be97">
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<div class="example div" id="org91b3743">
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<p>
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{\bf Example: rectangular pipe}<br>
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Two infinitely long grounded plates at \(y = 0,a\) are connected at \(x = \pm b\)
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@@ -1766,10 +1766,21 @@ V(x,y) = \frac{4V_0}{\pi} \sum_{n = 1, 3, 5, ...} \frac{1}{n} \frac{\cosh (n\pi
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<hr><div id="postamble" class="status">
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<hr>
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<div class="license">
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<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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target="_blank" class="m-2">
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<img alt="Creative Commons License" style="border-width:0"
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src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
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</a>
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Except where otherwise noted, all content is licensed under a
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<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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target="_blank">Creative Commons Attribution 4.0 International License</a>.
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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<p class="date">Created: 2022-02-08 Tue 17:21</p>
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<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
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<p class="date">Created: 2022-02-09 Wed 07:31</p>
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<p class="validation"></p>
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</div>
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