(a) Check that Gauss's law, f E da = (1/0) Qenc is obeyed by the field...

Question:

(a) Check that Gauss's law, f E ∙ da = (1/ε0) Qenc is obeyed by the field of a point charge in uniform motion, by integrating over a sphere of radius R centered on the charge.

(b) Find the Poynting vector for a point charge in uniform motion. (Say the charge is going in the z direction at speed v, and calculate S at the instant q passes the origin.)