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Update 2022-02-08 17:21

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Jean-Sébastien
2022-02-08 17:21:33 +01:00
parent 077433c40a
commit 3454aba504
207 changed files with 1882 additions and 1097 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>
<!-- 2022-02-08 Tue 06:55 -->
<!-- 2022-02-08 Tue 17:21 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -272,6 +272,10 @@ Table of contents
</summary>
<ul>
<li>
<a href="./in_t_l.html#in_t_l">Section and equation labelling</a><span class="headline-id">in.t.l</span>
</li>
<li>
<a href="./in_t_c.html#in_t_c">Contextual colors</a><span class="headline-id">in.t.c</span>
</li>
@@ -736,7 +740,7 @@ Table of contents
</li>
<li>
<a href="./emsm_esm_d.html#emsm_esm_d">Dielectrics</a><span class="headline-id">emsm.esm.d</span>
<a href="./emsm_esm_di.html#emsm_esm_di">Dielectrics</a><span class="headline-id">emsm.esm.di</span>
</li>
<li>
@@ -1621,7 +1625,7 @@ Table of contents
<p>
In spherical coordinates, the Laplace equation takes the following form:
</p>
<div class="main div" id="org402edd2">
<div class="main div" id="orgaeaaca3">
<p>
</p>
@@ -1782,7 +1786,7 @@ Ex.: second solution for \(l = 0\) is
<p>
General solution to problem with azimuthal symmetry:
</p>
<div class="main div" id="org50e2233">
<div class="main div" id="orgd189af6">
<p>
\[
V(r,\theta) = \sum_{l=0}^{\infty} \left( A_l r^l + \frac{B_l}{r^{l+1}} \right) P_l (\cos \theta)
@@ -1794,7 +1798,7 @@ General solution to problem with azimuthal symmetry:
<div class="example div" id="org7c85b31">
<div class="example div" id="orgcc658e8">
<p>
<b>Example: separation of variables (spherical coordinates)</b>
</p>
@@ -1886,7 +1890,7 @@ V(r, \theta) = \frac{k}{2} (1 - \frac{r}{R} \cos \theta).
</p>
<div class="example div" id="orgc394feb">
<div class="example div" id="org650a799">
<p>
<b>Example: surface charge density on sphere</b>
</p>
@@ -2004,7 +2008,7 @@ V^&gt; (r, \theta) = \frac{k R^3}{3\varepsilon_0} \frac{\cos \theta}{r^2} \hspac
<hr><div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-08 Tue 06:55</p>
<p class="date">Created: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
</div>