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diff --git a/mindmap/Lorentz Force.org b/mindmap/Lorentz Force.org new file mode 100644 index 0000000..23aa782 --- /dev/null +++ b/mindmap/Lorentz Force.org @@ -0,0 +1,21 @@ +:PROPERTIES: +:ID: 658f3916-6b7f-4897-85c6-9acc82b13214 +:END: +#+title: Lorentz Force +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> +#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> +#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> +#+options: broken-links:t + +* Definition +The Lorentz Force is an experimental law given by the equation: +\begin{align*} +\vec{F} = q(\vec{E} + \vec{v} \times \vec{B}) +\end{align*} +Where $q$ is the electric charge, $\vec{E}$ is the [[id:63656810-537f-42fc-a38a-1468d763b39a][Electric Field]], and $\vec{B}$ is the Magnetic Field. +For a continuous charge distribution: +\begin{align*} +\vec{F} = \rho\vec{E} + \vec{J} \times \vec{B} +\end{align*} +Where $\vec{J}$ is the electric current. |