# Question #c2b2d

Apr 15, 2017

From Lorentz force Equation we know that total force $\vec{F}$ experienced by a charged particle, having charge $q$ and velocity $\vec{v}$, in an electric field $\vec{E}$ and magnetic field $\vec{B}$ is

$\vec{F} = q \left(\vec{E} + \vec{v} \times \vec{B}\right)$

In this case, the electron of charge $e$ is stationary in a magnetic field. There is no electric field. As such first term vanishes.
Also we have $\vec{v} = 0$. Consequently the cross product of vectors velocity and magnetic field becomes $0$.
We have
$\vec{F} = e \left(0 \times \vec{B}\right)$
$\vec{F} = 0.$

In the absence of any force stationary electron remains stationary.