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Lorentz Force

Table of Contents

1. Definition

1. Definition

The Lorentz Force is an experimental law given by the equation:

\begin{aligned}\vec{F} = q(\vec{E} + \vec{v} \times \vec{B})\end{aligned}

Where $q$ is the electric charge, $\vec{E}$ is the Electric Field, and $\vec{B}$ is the Magnetic Field. For a continuous charge distribution:

\begin{aligned}\vec{F} = \rho\vec{E} + \vec{J} \times \vec{B}\end{aligned}

Where $\vec{J}$ is the electric current.