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Update 2022-02-14 20:42

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Jean-Sébastien
2022-02-14 20:42:37 +01:00
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commit 09a8ba5fb6
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build/ems_ca_mi_fe.html
+7 -7
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-13 Sun 21:20 -->
<!-- 2022-02-14 Mon 20:35 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1601,14 +1601,14 @@ Table of contents
The force between the point charge and the plane
is the same as in the case of two point charges:
</p>
<div class="eqlabel" id="org59bf877">
<div class="eqlabel" id="orgfec8492">
<p>
<a id="F_dip_z"></a><a href="./ems_ca_mi_fe.html#F_dip_z"><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="orgc3f251d">
<div class="alteqlabels" id="org91a602d">
<ul class="org-ul">
<li>Gr (3.12)</li>
</ul>
@@ -1618,7 +1618,7 @@ is the same as in the case of two point charges:
</div>
<p>
\[
{\bf F} = -\frac{1}{4\pi \varepsilon_0} \frac{q^2}{(2d)^2} \hat{\bf z}
{\bf F} = -\frac{1}{4\pi \varepsilon_0} \frac{q^2}{d^2} \hat{\bf z}
\label{Gr(3.12)}
\]
</p>
@@ -1627,14 +1627,14 @@ is the same as in the case of two point charges:
The energy is however not exactly the same: for two point charges,
<a href="./ems_es_e.html#W_pcd">W_pcd</a> gives
\[
W = -\frac{1}{4\pi \varepsilon_0} \frac{q^2}{2d}
W = -\frac{1}{4\pi \varepsilon_0} \frac{q^2}{d}
\]
whereas for the single charge and conducting plane,
</p>
<p>
\[
W = -\frac{1}{4\pi \varepsilon_0} \frac{q^2}{4d}
W = -\frac{1}{4\pi \varepsilon_0} \frac{q^2}{2d}
\]
The simple reason for the \(1/2\) factor between these two results
is that in the latter case, we are integrating \(E^2\)
@@ -1661,7 +1661,7 @@ 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: 2022-02-13 Sun 21:20</p>
<p class="date">Created: 2022-02-14 Mon 20:35</p>
<p class="validation"></p>
</div>