Consider a collection of point particles fixed in space with charge density is :

Suppose that : E(r, t = 0) = B(r, t = 0) = 0 and

(a) Construct a simple current density which satisfies the continuity equation.

(b) Find B(r, t) and show that this field and E(r, t) satisfy all four Maxwell equations.

(c) Describe the flow of charge predicted by the current density computed in part (a).

p(r, t) = , qk(1)(r - rk).