Lorentz force

## Mobile charge and Magnetic Field

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Moving charge enters magnetic field ehibit the following behavior below

For positive electric charge

F = q v B {\displaystyle F=qvB}

For negtive electric charge

F = − q v B {\displaystyle F=-qvB}

In general form

{\displaystyle F=\pm qvB}

## Lorentz force

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The electromagnetic force F on a test charge at a given point and time is a certain function of its charge q and velocity v, which can be parameterized by exactly two vectors E and B, in the functional form:

{\displaystyle \mathbf {F} =q(\mathbf {E} +\mathbf {v} \times \mathbf {B} )}

Where

F {\displaystyle \mathbf {F} } . Lorentz force
q {\displaystyle q} . Electric charge
E {\displaystyle \mathbf {E} } . Electric Field
B {\displaystyle \mathbf {B} } . Magnetic Field
v {\displaystyle \mathbf {v} } . Speed

## Reference

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* Wikipedia: Lorentz force