Update 2022-02-21 20:42

2022-02-21 20:42:13 +01:00
parent 40679d39bc
commit ead639cf67
199 changed files with 9265 additions and 12407 deletions
@@ -1,7 +1,7 @@
 <!DOCTYPE html>
 <html lang="en">
 <head>
-<!-- 2022-02-21 Mon 10:33 -->
+<!-- 2022-02-21 Mon 20:41 -->
 <meta charset="utf-8">
 <meta name="viewport" content="width=device-width, initial-scale=1">
 <title>Pre-Quantum Electrodynamics</title>
@@ -706,28 +706,41 @@ Table of contents
 </summary>
 <ul>
 <li>
-<a href="./emsm_esm_p.html#emsm_esm_p">Polarization</a><span class="headline-id">emsm.esm.p</span>
-
-</li>
-<li>
-<a href="./emsm_esm_di.html#emsm_esm_di">Dielectrics</a><span class="headline-id">emsm.esm.di</span>
-
-</li>
-<li>

 <details>
 <summary>
-<a href="./emsm_esm_fpo.html#emsm_esm_fpo">The Field of a Polarized Object</a><span class="headline-id">emsm.esm.fpo</span>
+<a href="./emsm_esm_mE.html#emsm_esm_mE">Matter Bathed in E Fields; Polarization</a><span class="headline-id">emsm.esm.mE</span>


 </summary>
 <ul>
 <li>
-<a href="./emsm_esm_fpo_pibc.html#emsm_esm_fpo_pibc">Physical Interpretation of Bound Charges</a><span class="headline-id">emsm.esm.fpo.pibc</span>
+<a href="./emsm_esm_mE_o.html#emsm_esm_mE_o">Overview</a><span class="headline-id">emsm.esm.mE.o</span>

 </li>
 <li>
-<a href="./emsm_esm_fpo_fid.html#emsm_esm_fpo_fid">The Field Inside a Dielectric</a><span class="headline-id">emsm.esm.fpo.fid</span>
+<a href="./emsm_esm_mE_P.html#emsm_esm_mE_P">Polarization</a><span class="headline-id">emsm.esm.mE.P</span>
+
+</li>
+
+</ul>
+</details>
+</li>
+<li>
+
+<details>
+<summary>
+<a href="./emsm_esm_po.html#emsm_esm_po">Polarized Objects; Bound Charges</a><span class="headline-id">emsm.esm.po</span>
+
+
+</summary>
+<ul>
+<li>
+<a href="./emsm_esm_po_pibc.html#emsm_esm_po_pibc">Physical Interpretation of Bound Charges</a><span class="headline-id">emsm.esm.po.pibc</span>
+
+</li>
+<li>
+<a href="./emsm_esm_po_fid.html#emsm_esm_po_fid">The Field Inside a Dielectric</a><span class="headline-id">emsm.esm.po.fid</span>

 </li>

@@ -750,18 +763,34 @@ Table of contents

 </ul>
 </details>
+</li>
+<li>
+<a href="./emsm_esm_di.html#emsm_esm_di">Dielectrics</a><span class="headline-id">emsm.esm.di</span>
+
 </li>
 <li>

 <details>
 <summary>
-<a href="./emsm_esm_di.html#emsm_esm_di">Dielectrics</a><span class="headline-id">emsm.esm.di</span>
+<a href="./emsm_esm_ld.html#emsm_esm_ld">Linear Dielectrics</a><span class="headline-id">emsm.esm.ld</span>


 </summary>
 <ul>
 <li>
-<a href="./emsm_esm_di_ld.html#emsm_esm_di_ld">Linear Dielectrics</a><span class="headline-id">emsm.esm.di.ld</span>
+<a href="./emsm_esm_ld_sp.html#emsm_esm_ld_sp">Susceptibility, Permittivity, Dielectric Constant</a><span class="headline-id">emsm.esm.ld.sp</span>
+
+</li>
+<li>
+<a href="./emsm_esm_ld_bvp.html#emsm_esm_ld_bvp">Boundary Value Problems with Linear Dielectrics</a><span class="headline-id">emsm.esm.ld.bvp</span>
+
+</li>
+<li>
+<a href="./emsm_esm_ld_e.html#emsm_esm_ld_e">Energy in Dielectric Systems</a><span class="headline-id">emsm.esm.ld.e</span>
+
+</li>
+<li>
+<a href="./emsm_esm_ld_f.html#emsm_esm_ld_f">Forces on Dielectrics</a><span class="headline-id">emsm.esm.ld.f</span>

 </li>

@@ -1596,18 +1625,18 @@ Table of contents
 The magnetic field issuing from a steady surrent
 is given experimentally (around 1820) by the
 </p>
-<div class="core div" id="orgc94cef6">
+<div class="core div" id="orgf84cc6f">
 <p>
 <b>Biot-Savart law</b>
 </p>
-<div class="eqlabel" id="org8869dd0">
+<div class="eqlabel" id="org3281466">
 <p>
 <a id="BiotSavart"></a><a href="./ems_ms_BS.html#BiotSavart"><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="orge6449ea">
+<div class="alteqlabels" id="org7bf94e5">
 <ul class="org-ul">
 <li>FLS II (14.43)</li>
 <li>Gr (5.34)</li>
@@ -1637,15 +1666,15 @@ with the <i>henry</i> \(H = kg ~m^2 / s^2 A^2\) being the unit for inductance.
 <p>
 For surface and volume density currents:
 </p>
-<div class="main div" id="org97608f1">
-<div class="eqlabel" id="org32040cc">
+<div class="main div" id="org0fc8a2d">
+<div class="eqlabel" id="org6473469">
 <p>
 <a id="BiotSavart_s"></a><a href="./ems_ms_BS.html#BiotSavart_s"><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="org2c84d27">
+<div class="alteqlabels" id="org84dd95e">

 </div>

@@ -1656,14 +1685,14 @@ For surface and volume density currents:
 \tag{BiotSavart_s}\label{BiotSavart_s}
 \]
 </p>
-<div class="eqlabel" id="org56b5fb8">
+<div class="eqlabel" id="org8947c4c">
 <p>
 <a id="BiotSavart_v"></a><a href="./ems_ms_BS.html#BiotSavart_v"><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="orgc00a3a8">
+<div class="alteqlabels" id="org75ae01b">

 </div>

@@ -1688,37 +1717,37 @@ The <b>superposition principle</b> applies here as well:  a collection of curren
 the vector sum of the fields generated by the individual currents.
 </p>

-<div class="example div" id="orgb52405d">
+<div class="example div" id="orgac81691">
 <p>
 <b>Example: \({\bf B}\) from long straight wire</b>
 </p>

 <p>
-<b>Task</b>: find \({\bf B}\) a distance \(s\) from a long straight wire carrying steady current \(I\).
+<b>Task</b>: find \({\bf B}\) a distance \(r\) from a long straight wire carrying steady current \(I\).
 </p>

 <p>
 <b>Solution</b>:
 \(dl {\bf I} \times ({\bf r} - {\bf r}')\) points out of the page, and has
-magnitude \(dl' \sin \alpha = dl' \cos \theta\).  But \(l' = s \tan \theta\) so \(dl' = \frac{s}{\cos^2 \theta} d\theta\),
-and \(s = |{\bf r} - {\bf r}'| \cos \theta\).  Then,
+magnitude \(dl' \sin \alpha = dl' \cos \theta\).  But \(l' = r \tan \theta\) so \(dl' = \frac{r}{\cos^2 \theta} d\theta\),
+and \(r = |{\bf r} - {\bf r}'| \cos \theta\).  Then,
 </p>

 <p>
 \[
-B = \frac{\mu_0}{4\pi} I \int_{\theta_1}^{\theta_2} d\theta \cos \theta \frac{\cos^2 \theta}{s^2} \frac{s}{\cos^2 \theta}
-= \frac{\mu_0 I}{4\pi s} (\sin \theta_2 - \sin \theta_1)
+B = \frac{\mu_0}{4\pi} I \int_{\theta_1}^{\theta_2} d\theta \cos \theta \frac{\cos^2 \theta}{r^2} \frac{r}{\cos^2 \theta}
+= \frac{\mu_0 I}{4\pi r} (\sin \theta_2 - \sin \theta_1)
 \]
 For infinite wire:  \(\theta_1 = -\pi/2\), \(\theta_2 = \pi/2\), so
 </p>
-<div class="eqlabel" id="orga23cca2">
+<div class="eqlabel" id="org72687b1">
 <p>
 <a id="Bwire1"></a><a href="./ems_ms_BS.html#Bwire1"><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="org5708c99">
+<div class="alteqlabels" id="org772ccc6">
 <ul class="org-ul">
 <li>Gr (5.38)</li>
 </ul>
@@ -1728,7 +1757,7 @@ For infinite wire:  \(\theta_1 = -\pi/2\), \(\theta_2 = \pi/2\), so
 </div>
 <p>
 \[
-B = \frac{\mu_0 I}{2\pi s}
+B = \frac{\mu_0 I}{2\pi r}
 \tag{Bwire1}\label{Bwire1}
 \]
 </p>
@@ -1747,13 +1776,13 @@ f = \frac{\mu_0}{2\pi} \frac{I_1 I_2}{d}
 (like currents attract).
 </p>

-<div class="example div" id="org585c93b">
+<div class="example div" id="org433e75f">
 <p>
 <b>Example: \({\bf B}\) above a circular loop</b>
 </p>

 <p>
-<b>Task</b>: find {\bf B} a distance \(z\) above the center of a circular loop of radius \(R\),
+<b>Task</b>: find \({\bf B}\) a distance \(z\) above the center of a circular loop of radius \(R\),
 carrying a steady counterclockwise current \(I\).
 </p>

@@ -1791,7 +1820,7 @@ 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: 2022-02-21 Mon 10:33</p>
+<p class="date">Created: 2022-02-21 Mon 20:41</p>
 <p class="validation"></p>
 </div>