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Update 2022-02-09 07:44

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Jean-Sébastien
2022-02-09 07:44:58 +01:00
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-08 Tue 17:21 -->
<!-- 2022-02-09 Wed 07:31 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1616,7 +1616,7 @@ Table of contents
</ul>
</details>
</nav>
<ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_ms_lf.html">Charges in Motion: the Lorentz Force Law&emsp;<small>[ems.ms.lf]</small></a></li><li>Next:&nbsp;<a href="ems_ms_lf_c.html">Currents&emsp;<small>[ems.ms.lf.c]</small></a></li><li>Up:&nbsp;<a href="ems_ms_lf.html">Charges in Motion: the Lorentz Force Law&emsp;<small>[ems.ms.lf]</small></a></li></ul><div id="outline-container-ems_ms_lf_pc" class="outline-5">
<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="ems.html">Electromagnetostatics</a></li><li><a class="breadcrumb-link"href="ems_ms.html">Magnetostatics</a></li><li><a class="breadcrumb-link"href="ems_ms_lf.html">Charges in Motion: the Lorentz Force Law</a></li><li>Point Charge</li></ul><ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_ms_lf.html">Charges in Motion: the Lorentz Force Law&emsp;<small>[ems.ms.lf]</small></a></li><li>Next:&nbsp;<a href="ems_ms_lf_c.html">Currents&emsp;<small>[ems.ms.lf.c]</small></a></li><li>Up:&nbsp;<a href="ems_ms_lf.html">Charges in Motion: the Lorentz Force Law&emsp;<small>[ems.ms.lf]</small></a></li></ul><div id="outline-container-ems_ms_lf_pc" class="outline-5">
<h5 id="ems_ms_lf_pc">Point Charge<a class="headline-permalink" href="./ems_ms_lf_pc.html#ems_ms_lf_pc"><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"/>
@@ -1625,7 +1625,7 @@ Table of contents
<p>
Force on a point charge \(q\) moving at velocity \({\bf v}\) in magnetic field \({\bf B}\):
</p>
<div class="core div" id="org51eb85f">
<div class="core div" id="org5929b79">
<p>
\[
{\bf F}_{mag} = q {\bf v} \times {\bf B}
@@ -1637,7 +1637,7 @@ Force on a point charge \(q\) moving at velocity \({\bf v}\) in magnetic field \
<p>
Units of \({\bf B}\): \(N/(A~m)\) is called a {\bf tesla} (symbol: \(T\)). Total electromagnetic force:
</p>
<div class="core div" id="org7fd055f">
<div class="core div" id="orge9d0201">
<p>
\[
{\bf F}_{mag} = q ({\bf E} + {\bf v} \times {\bf B})
@@ -1647,7 +1647,7 @@ Units of \({\bf B}\): \(N/(A~m)\) is called a {\bf tesla} (symbol: \(T\)). Tot
</div>
<div class="example div" id="orgae8d398">
<div class="example div" id="org372182d">
<p>
\paragraph{Example 5.1:} cyclotron motion. Field \({\bf B}\) pointing into page. Charge \(q &gt; 0\) moves
counterclockwise with speed \(v\) on a circle of radius \(R\). Magnetic force points inwards.
@@ -1665,7 +1665,7 @@ The {\bf cyclotron frequency} is
</div>
<div class="example div" id="orgac97d85">
<div class="example div" id="org3ded7d7">
<p>
\paragraph{Example 5.2:} cycloid motion. Recommendation: {\it look at it!!}
</p>
@@ -1686,10 +1686,21 @@ dW_{mag} = {\bf F}_{mag} \cdot d{\bf l} = q ({\bf v} \times {\bf B}) \times {\bf
<hr><div id="postamble" class="status">
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
target="_blank" class="m-2">
<img alt="Creative Commons License" style="border-width:0"
src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
</a>
Except where otherwise noted, all content is licensed under a
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2022-02-09 Wed 07:31</p>
<p class="validation"></p>
</div>