Update 2022-02-09 22:41

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Jean-Sébastien
2022-02-09 22:41:42 +01:00
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<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-09 Wed 07:31 -->
<!-- 2022-02-09 Wed 22:40 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -408,17 +408,13 @@ Table of contents
<li>
<a href="./ems_es_ep_fp.html#ems_es_ep_fp">Field in terms of the potential</a><span class="headline-id">ems.es.ep.fp</span>
</li>
<li>
<a href="./ems_es_ep_c.html#ems_es_ep_c">Comments on the Electrostatic Potential</a><span class="headline-id">ems.es.ep.c</span>
</li>
<li>
<a href="./ems_es_ep_ex.html#ems_es_ep_ex">Example calculations for the potential</a><span class="headline-id">ems.es.ep.ex</span>
</li>
<li>
<a href="./ems_es_ep_PL.html#ems_es_ep_PL">The Poisson Equation and the Laplace Equation</a><span class="headline-id">ems.es.ep.PL</span>
<a href="./ems_es_ep_PL.html#ems_es_ep_PL">Poisson's and Laplace's Equations</a><span class="headline-id">ems.es.ep.PL</span>
</li>
<li>
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</details>
</li>
<li>
<details>
<summary>
<a href="./ems_es_e.html#ems_es_e">Electrostatic Energy from the Potential</a><span class="headline-id">ems.es.e</span>
</summary>
<ul>
<li>
<a href="./ems_es_e_pcd.html#ems_es_e_pcd">The Energy of a Point Charge Distribution</a><span class="headline-id">ems.es.e.pcd</span>
</li>
<li>
<a href="./ems_es_e_ccd.html#ems_es_e_ccd">The Energy of a Continuous Charge Distribution</a><span class="headline-id">ems.es.e.ccd</span>
</li>
<li>
<a href="./ems_es_e_c.html#ems_es_e_c">Comments on Electrostatic Energy</a><span class="headline-id">ems.es.e.c</span>
</li>
</ul>
</details>
</li>
<li>
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</svg></a><span class="headline-id">ems.es.c.cap</span></h5>
<div class="outline-text-5" id="text-ems_es_c_cap">
<p>
Two conductors, one at charge \(Q\) and the other at charge \(-Q\). Potential difference is
unambiguous:
Let us consider two conductors, one having charge \(Q\) and the other charge \(-Q\).
The potential difference is unambiguously given by
</p>
<p>
\[
V = V_+ - V_- = -\int_{(-)}^{(+)} {\bf E} \cdot d{\bf l}
V = \phi_+ - \phi_- = -\int_{(-)}^{(+)} {\bf E} \cdot d{\bf l}
\]
</p>
@@ -1644,10 +1619,14 @@ C \equiv \frac{Q}{V}
\]
</p>
<div class="example div" id="orge2d3334">
<div class="example div" id="org7df55cc">
<p>
<b>Example 2.11</b>:
find the capacitance of two concentric spherical metallic shells with radii \(a\) and \(b\).
<b>Concentric shells</b>
</p>
<p>
Consider two concentric spherical metallic shells with radii \(a\) and \(b\).
What is the capacitance of this system?
</p>
<p>
@@ -1685,7 +1664,7 @@ 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: 2022-02-09 Wed 07:31</p>
<p class="date">Created: 2022-02-09 Wed 22:40</p>
<p class="validation"></p>
</div>