Question #c2b2d

1 Answer
Apr 15, 2017

From Lorentz force Equation we know that total force vec FF experienced by a charged particle, having charge qq and velocity vec vv, in an electric field vecEE and magnetic field vecBB is

vecF=q(vecE+vecvxxvecB)F=q(E+v×B)

In this case, the electron of charge ee is stationary in a magnetic field. There is no electric field. As such first term vanishes.
Also we have vecv=0v=0. Consequently the cross product of vectors velocity and magnetic field becomes 00.
We have
vecF=e(0xxvecB)F=e(0×B)
vecF=0.F=0.

In the absence of any force stationary electron remains stationary.