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:
$𝐅=q(𝐄+𝐯\times 𝐁)$

Where

$𝐅$ . Lorentz force

$q$ . Electric charge

$𝐄$ . Electric Field

$𝐁$ . Magnetic Field

$𝐯$ . Speed

Reference

• Wikipedia: Lorentz force