A particle with specific charge qim moves in the region of space where there are uniform mutually perpendicular electric and magnetic fields with strength E and induction B (Fig. 3.104). At the moment t = 0 the particle was located at the point 0 and had zero velocity. For the nonrelativistic case find: (a) the law of motion x (t) and y (t) of the particle; the shape of the trajectory; (b) the length of the segment of the trajectory between two nearest points at which the velocity of the particle turns into zero; (c) the mean value of the particle's velocity vector projection on the x axis (the drift velocity).
Solution:
