# Lorentz force

## Mobile charge and Magnetic Field

Moving charge enters magnetic field ehibit the following behavior below

For positive electric charge

${\displaystyle F=qvB}$

For negtive electric charge

${\displaystyle F=-qvB}$

In general form

${\displaystyle F=\pm qvB}$


## Lorentz force

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

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