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Update 2022-02-14 06:33

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Jean-Sébastien
2022-02-14 06:33:37 +01:00
parent f8446c1405
commit 4cfe8cef59
204 changed files with 1839 additions and 941 deletions
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build/ems_ca_sv_sph.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-10 Thu 08:32 -->
<!-- 2022-02-13 Sun 21:20 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1600,7 +1600,7 @@ Table of contents
<p>
In spherical coordinates, the Laplace equation takes the following form:
</p>
<div class="main div" id="orgdadf149">
<div class="main div" id="org813844c">
<p>
</p>
@@ -1761,7 +1761,7 @@ Ex.: second solution for \(l = 0\) is
<p>
General solution to problem with azimuthal symmetry:
</p>
<div class="main div" id="orgb90aa18">
<div class="main div" id="org05645c9">
<p>
\[
V(r,\theta) = \sum_{l=0}^{\infty} \left( A_l r^l + \frac{B_l}{r^{l+1}} \right) P_l (\cos \theta)
@@ -1773,7 +1773,7 @@ General solution to problem with azimuthal symmetry:
<div class="example div" id="orgf514ba3">
<div class="example div" id="orga84dbfd">
<p>
<b>Example: separation of variables (spherical coordinates)</b>
</p>
@@ -1865,7 +1865,7 @@ V(r, \theta) = \frac{k}{2} (1 - \frac{r}{R} \cos \theta).
</p>
<div class="example div" id="org055e8ed">
<div class="example div" id="org6004c2b">
<p>
<b>Example: surface charge density on sphere</b>
</p>
@@ -1981,6 +1981,8 @@ V^&gt; (r, \theta) = \frac{k R^3}{3\varepsilon_0} \frac{\cos \theta}{r^2} \hspac
</div>
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_ca_sv_cyl.html">Cylindrical Coordinates&emsp;<small>[ems.ca.sv.cyl]</small></a></li><li>Next:&nbsp;<a href="ems_ca_me.html">The Multipole Expansion&emsp;<small>[ems.ca.me]</small></a></li><li>Up:&nbsp;<a href="ems_ca_sv.html">Separation of Variables&emsp;<small>[ems.ca.sv]</small></a></li></ul>
<br>
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
@@ -1994,7 +1996,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-10 Thu 08:32</p>
<p class="date">Created: 2022-02-13 Sun 21:20</p>
<p class="validation"></p>
</div>