A charged particle with specific charge qim starts moving in the region of space where there are uniform mutually perpendicular electric and magnetic fields. The magnetic field is constant and has an induction B while the strength of the electric field varies with time as E = Em coswt, where w = qB/m. For the nonrelativistic case find the law of motion x (t) and y (t) of the particle if at the moment t = 0 it was located at the point 0 (see Fig. 3.104). What is the approximate shape of the trajectory of the particle?
Solution:
