The electric field of a plane electromagnetic wave is given by E = E_0 i + j 2 (kz + t) At

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

The electric field of a plane electromagnetic wave is given by

\vec{E} = E_0 \frac{\hat{i} + \hat{j}}{\sqrt{2}} \cos(kz + \omega t)

t = 0

, a positively charged particle is at the point

(x, y, z) = \left(0, 0, \frac{\pi}{k}\right)

. If its instantaneous velocity at

(t=0)

v_0 \hat{k}

, the force acting on it due to the wave is: (1) parallel to

\frac{\hat{i} + \hat{j}}{\sqrt{2}}

(2) zero (3) antiparallel to

\frac{\hat{i} + \hat{j}}{\sqrt{2}}

(4) parallel to

\hat{k}