Problem

A light beam travelling in the

x

-direction is described by the electric field

E_y = (300\,\text{V m}^{-1}) \sin \omega(t - x/c)

. An electron is constrained to move along the

y

-direction with a speed of

2.0 \times 10^7\,\text{m s}^{-1}

. Find the maximum electric force and the maximum magnetic force on the electron.