In Chapter 19 we will see that a charged particle can undergo uniform circular motion when acted on by a magnetic force and no other forces.
(a) For that to be true, what must be the angle between the magnetic force and the particle's velocity?
(b) The magnitude of the magnetic force on a charged particle is proportional to the particle's speed, F = kv. Show that two identical charged particles moving in circles at different speeds in the same magnetic field must have the same period.
(c) Show that the radius of the particle's circular path is proportional to the speed.