A charge Q is uniformly distributed over the surface of a sphere of radius R. The sphere spins at a constant angular frequency ω.

(a) Show that the current density of this configuration can be written in the form where M is a constant vector.
(b) Find the magnetic moment of this current distribution.
(c) Evaluate the Coulomb gauge integral to find A(r).
(d) Find B(r) everywhere.

Transcribed Image Text:

j= j = V x [MO(R — r)]