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Update 2022-02-14 06:33

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Jean-Sébastien
2022-02-14 06:33:37 +01:00
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commit 4cfe8cef59
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build/ems_ms_BS_sc.html
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<!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>
@@ -1600,7 +1600,7 @@ Table of contents
<p>
This is given experimentally (around 1820) by the
</p>
<div class="core div" id="orgb7f39a6">
<div class="core div" id="org5fd45b2">
<p>
{\bf Biot-Savart law}
\[
@@ -1622,7 +1622,7 @@ with the {\it henry} \(H = kg m^2 / s^2 A^2\) being the unit for inductance.
<p>
For surface and volume density currents:
</p>
<div class="main div" id="orgca809d4">
<div class="main div" id="org5f7fff2">
<p>
\[
{\bf B} ({\bf r}) = \frac{\mu_0}{4\pi} \int da' \frac{{\bf K} ({\bf r}') \times ({\bf r} - {\bf r}')}{|{\bf r} - {\bf r}'|^3},
@@ -1644,7 +1644,7 @@ The {\bf superposition principle} applies here as well: collection of currents
the vector sum of the fields generated by the individual currents.
</p>
<div class="example div" id="orgbb4c2f2">
<div class="example div" id="orgada1735">
<p>
\paragraph{Example 5.5:} find \({\bf B}\) a distance \(s\) from a long straight wire carrying steady current \(I\).
\paragraph{Solution:} {\bf Gr Fig 5.18}:
@@ -1674,7 +1674,7 @@ f = \frac{\mu_0}{2\pi} \frac{I_1 I_2}{d}
(like currents attract).
</p>
<div class="example div" id="org65c31b7">
<div class="example div" id="orgfdb4974">
<p>
\paragraph{Example 5.6:} find {\bf B} a distance \(z\) above the center of a circular loop of radius \(R\),
carrying a steady counterclockwise current \(I\).
@@ -1692,6 +1692,8 @@ carrying a steady counterclockwise current \(I\).
</div>
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_ms_BS.html">Steady Currents: the Biot-Savart Law&emsp;<small>[ems.ms.BS]</small></a></li><li>Next:&nbsp;<a href="ems_ms_dcB.html">Divergence and Curl of \({\bf B}\)&emsp;<small>[ems.ms.dcB]</small></a></li><li>Up:&nbsp;<a href="ems_ms_BS.html">Steady Currents: the Biot-Savart Law&emsp;<small>[ems.ms.BS]</small></a></li></ul>
<br>
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
@@ -1705,7 +1707,7 @@ 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>