# What is the force on a stationary charge in a magnetic field?

Aug 4, 2017

Zero.

#### Explanation:

The force acting on a charge in a magnetic field is given by:

$F = \left\mid {q}_{o} \right\mid B v \left(\sin \phi\right)$

where $\left\mid {q}_{o} \right\mid$ is the magnitude of the charge, $B$ is the strength of the magnetic field, $v$ is the velocity of the charge, and $\phi$ is the angle between the magnetic field and the velocity.

For a stationary charge $v = 0$, which implies that the force on a stationary charge in a magnetic field is zero. This is also true of a charge moving parallel to the magnetic field, where $\phi = {0}^{o}$ and therefore $\sin \left({0}^{o}\right) = 0$.