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Lorentz Force

Table of Contents

1. Definition

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

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

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

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

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