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Talk:PlanetPhysics/Lorentz Force Law

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%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: Lorentz force law %%% Primary Category Code: 41.20.Gz %%% Filename: LorentzForceLaw.tex %%% Version: 1 %%% Owner: bloftin %%% Author(s): bloftin %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

\setlength{\topmargin}{0.00in} \setlength{\headsep}{0.00in} \setlength{\headheight}{0.00in} \setlength{\evensidemargin}{0.00in} \setlength{\oddsidemargin}{0.00in} \setlength{\textwidth}{6.5in} \setlength{\textheight}{9.00in} \setlength{\voffset}{0.00in} \setlength{\hoffset}{0.00in} \setlength{\marginparwidth}{0.00in} \setlength{\marginparsep}{0.00in} \setlength{\parindent}{0.00in} \setlength{\parskip}{0.15in}

\usepackage{html}

% this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners.

% almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts}

% used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here

\begin{document}

For given electric and \htmladdnormallink{magnetic fields}{http://planetphysics.us/encyclopedia/NeutrinoRestMass.html}, the force on a \htmladdnormallink{particle}{http://planetphysics.us/encyclopedia/Particle.html} with \htmladdnormallink{charge}{http://planetphysics.us/encyclopedia/Charge.html} $q$ is determined by multiplying the charge by the \htmladdnormallink{Electric Field}{http://planetphysics.us/encyclopedia/ElectricField.html} plus the \htmladdnormallink{cross product}{http://planetphysics.us/encyclopedia/VectorProduct.html} of the particle's \htmladdnormallink{velocity}{http://planetphysics.us/encyclopedia/Velocity.html} with the magnetic field. This relationship is known as the Lorentz force law

$$ \mathbf{F} = q \left ( \mathbf{E} + \mathbf{v} \times \mathbf{B} \right ) $$

\end{document}