Question

A charged particle in a constant magnetic field B experiences a force f = q(B × v), where v = r' = x'i + y'i + z'k is the velocity vector of the particle. By considering the

line integral f · dr, show that this force does no work in moving the particle along its

path r(t), 0 ≤ t ≤ a, for any a > 0

(6) A charged particle in a constant magnetic field B experiences a force f B X v k is the velocity vector of the particle. By considering the line integral J f.dr, show that this force does no work in moving the particle along its path r(t), 0 S t S a, for any a 0.