Lorentz Force
Table of Contents
1. 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 , 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.