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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_es_e.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>
@@ -1618,14 +1618,14 @@ W_u = -\int_{{\bf a}}^{{\bf b}} {\bf E} \cdot d{\bf l}
For a point charge distribution, the total work required to assemble it
can also be rewritten in terms of the potential by using <a href="./ems_es_ep_d.html#p">p</a>,
</p>
<div class="eqlabel" id="org4987cb4">
<div class="eqlabel" id="org40a405d">
<p>
<a id="W_pcd"></a><a href="./ems_es_e.html#W_pcd"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="orgae0f38c">
<div class="alteqlabels" id="orgceb30d0">
<ul class="org-ul">
<li>Gr (2.42)</li>
</ul>
@@ -1644,14 +1644,14 @@ W = \frac{1}{2} \sum_{i=1}^m q_i \phi({\bf r}_i)
For a volume charge distribution, this becomes
</p>
<div class="eqlabel" id="orgaae8f35">
<div class="eqlabel" id="org1af050f">
<p>
<a id="W_vcd"></a><a href="./ems_es_e.html#W_vcd"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org9e1426e">
<div class="alteqlabels" id="org392f4b0">
<ul class="org-ul">
<li>Gr (2.43)</li>
</ul>
@@ -1693,14 +1693,14 @@ W = \frac{\varepsilon_0}{2} \left( \int_{\cal V} E^2 d\tau + \oint_{\cal S} \phi
Integrating over all space (and thus dropping the surface integrale whose integrand is assumed
to vanish at infinity), we get
</p>
<div class="eqlabel" id="org7354478">
<div class="eqlabel" id="org54dd4ed">
<p>
<a id="W_intEsq"></a><a href="./ems_es_e.html#W_intEsq"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org72489d5">
<div class="alteqlabels" id="org9775d9b">
<ul class="org-ul">
<li>Gr (2.45)</li>
</ul>
@@ -1708,7 +1708,7 @@ to vanish at infinity), we get
</div>
</div>
<div class="core div" id="orged969c0">
<div class="core div" id="org0c6590a">
<p>
</p>
@@ -1722,7 +1722,7 @@ W = \frac{\varepsilon_0}{2} \int E^2 d\tau
</div>
<div class="example div" id="org362282e">
<div class="example div" id="orgfc5c12b">
<p>
<b>Energy of spherical shell</b>
</p>
@@ -1780,6 +1780,8 @@ W &amp;= \frac{\varepsilon_0}{2} \int_{outside~sphere} \frac{q^2}{(4\pi \varepsi
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_es_ep_bc.html">Electrostatic Boundary Conditions&emsp;<small>[ems.es.ep.bc]</small></a></li><li>Next:&nbsp;<a href="ems_es_c.html">Conductors&emsp;<small>[ems.es.c]</small></a></li><li>Up:&nbsp;<a href="ems_es.html">Electrostatics&emsp;<small>[ems.es]</small></a></li></ul>
<br>
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
@@ -1793,7 +1795,7 @@ 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>