Question

Uniform electric and magnetic fields with strength E and induction B respectively are directed along the y axis (Fig. 3.101). A particle with specific charge On leaves the origin O in the direction of the x axis with an initial non-relativistic velocity v₀. Find: 

(a) the coordinate y_n of the particle when it crosses the y axis for the nth time; 

(b) the angle α between the particle's velocity vector and the y axis at that moment.

Answer 1

The equations of motion are,

These equations can be solved easily.