Lorentz force

Mobile charge and Magnetic Field

Moving charge enters magnetic field ehibit the following behavior below

For positive electric charge

$F=qvB$

For negtive electric charge

$F=-qvB$

In general form

$F=\pm qvB$

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

Where

$\mathbf {F}$ . Lorentz force

$q$ . Electric charge

$\mathbf {E}$ . Electric Field

$\mathbf {B}$ . Magnetic Field

$\mathbf {v}$ . Speed

Reference

• Wikipedia: Lorentz force