(a) What angle(s) does a particle’s velocity have to make with the magnetic field direction for the particle to be subjected to half the maximum possible magnetic force, Fmax?
(b) Express the magnetic force on a charged particle in terms of Fmax if the angle between its velocity and the magnetic field direction is (i) 10°, (ii) 80°, and (iii) 100°.
(c) If the particle’s velocity makes an angle of 50° with respect to the magnetic field direction, at what other angle(s) would the magnetic force on it be the same? Would the direction be the same? Explain.