What is Lorentz force? Write an expression for it.

(N/A) The total force experienced by a charged particle moving in a region where both electric and magnetic fields are present is called Lorentz force.
$A$ charge $q$ in an electric field $\overrightarrow{E}$ experiences the electric force:
$\overrightarrow{F}_{e} = q \overrightarrow{E}$
The magnetic force experienced by the charge $q$ moving with velocity $\vec{v}$ in the magnetic field $\overrightarrow{B}$ is given by:
$\overrightarrow{F}_{m} = q(\vec{v} \times \overrightarrow{B})$
So, the total force experienced by the charge $q$ due to both is:
$\overrightarrow{F} = \overrightarrow{F}_{e} + \overrightarrow{F}_{m} = q \overrightarrow{E} + q(\vec{v} \times \overrightarrow{B})$
$\therefore \overrightarrow{F} = q[\overrightarrow{E} + (\vec{v} \times \overrightarrow{B})]$
This force is known as Lorentz force.

Physical situation	Magnitude of $B$ (in tesla)
Surface of a neutron star	$10^{8}$
Large field in a laboratory	$1$
Near a small bar magnet	$10^{-2}$
On the Earth's surface	$10^{-5}$
Human nerve fiber	$10^{-10}$
Interstellar space	$10^{-12}$