Moving Charges & Magnetism  Case Study02
Case Study
(Force On Moving Charge In Uniform Magnetic Field)
General Instructions
Force On Moving Charge In Uniform Magnetic Field

Motion of Charge in Magnetic Field
A charged particle moving in a magnetic field experiences a force that is proportional to the strength of the magnetic field, the component of the velocity that is perpendicular to the magnetic field and the charge of the particle.
This force is given by F = q(v x B) where q is the electric charge of the particle, v is the instantaneous velocity of the particle and B is the magnetic field in tesla. The direction of force is determined by the rules of cross product of two vectors. Force is perpendicular to both velocity and magnetic field. Its direction is given as v x B if q is positive and opposite of v x B if q is negative.
The force is always perpendicular to both the velocity of the particle and the magnetic field that created it. Because the magnetic force is always perpendicular to the motion, the magnetic field can do no work on an isolated charge. It can only do work indirectly, via the electric field generated by a changing magnetic field.