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Update 2022-02-09 22:41

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Jean-Sébastien
2022-02-09 22:41:42 +01:00
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commit f3c2446d19
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build/emsm_esm_D.html
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@@ -1,7 +1,7 @@
<!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>
@@ -430,29 +426,8 @@ Table of contents
</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>
@@ -1626,7 +1601,7 @@ Table of contents
<p>
Field due to polarization: effectively comes from bound surface and volume charges,
</p>
<div class="main div" id="org31dde4c">
<div class="main div" id="org3df8709">
<p>
\[
\rho_b = -{\boldsymbol \nabla} \cdot {\bf P}, \hspace{1cm} \sigma_b = {\bf P} \cdot \hat{\bf n}.
@@ -1655,7 +1630,7 @@ Convenient way of writing:
\]
Defining the
</p>
<div class="core div" id="org05c3963">
<div class="core div" id="org8cfa4b1">
<p>
<b>Electric displacement</b> \({\bf D}\)
\[
@@ -1668,7 +1643,7 @@ Defining the
<p>
Gauss's law becomes
</p>
<div class="core div" id="orgd8cb113">
<div class="core div" id="orgc758815">
<p>
\[
{\boldsymbol \nabla} \cdot {\bf D} = \rho_f
@@ -1680,7 +1655,7 @@ Gauss's law becomes
<p>
or in integral form
</p>
<div class="core div" id="org331a73a">
<div class="core div" id="orgec7de77">
<p>
\[
\oint d{\bf a} \cdot {\bf D} = Q_{f_{enc}}
@@ -1690,7 +1665,7 @@ or in integral form
</div>
<div class="example div" id="org3daf0dd">
<div class="example div" id="org8eac56f">
<p>
\paragraph{Example 4.4:} long straight wire, uniform line charge \(\lambda\), surrounded by rubber insulation
to radius \(a\). Find \({\bf D}\).
@@ -1749,7 +1724,7 @@ 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>