The electric and magnetic fields for time-independent distributions of charge and current which go to zero at infinity are

(a) Calculate ∇ · E and∇ ×E.
(b) Calculate ∇ · B and∇ ×B. The curl calculation exploits the continuity equation for this situation.

Transcribed Image Text:

E(r) = 1 477 60 d³r' p(r). r-r |rr|³ B(r) = [d³rºj(r) × X po 4л r-r' |r— r'|³ ·