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

1 Answer
Aug 4, 2017

Zero.

Explanation:

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

#F=abs(q_o)Bv(sinphi)#

where #abs(q_o)# 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(0^o)=0#.