Notice the following parallel: Thus, the transcription D ?? B, E ?? H, P ?? ?0 M, 0 ?? /?0 tums an electrostatic problem into

Notice the following parallel: Thus, the transcription D ?? B, E ?? H, P ?? ?0 M, ε0 ?? /?0 tums an electrostatic problem into an analogous magnetostatic one. Use this observation, together with your knowledge of the electrostatic results, to rederive

(a) the magnetic field inside a uniformly magnetized sphere (Eq. 6.16);

(b) the magnetic field inside a sphere of linear magnetic material in an otherwise uniform magnetic field (Prob. 6.18);

(c) the average magnetic field over a sphere, due to steady currents within the sphere (Eq.5.89).

V.D=0, VXE=0, V.B=0, VxH=0, 0E =D - P. OH =B-OM. (no free charge): (no free current).