Answer Happy

A uniformly charged solid sphere of radius R carries a total charge Q, and is set spinning with angular velocity w about the z axis. (a) (10 pts.) What is the magnetic dipole moment of the sphere? (b)(10 pts.) Find the average magnetic field within the sphere. (c) (10 pts.) Find the approximate vector potential at a point (r, 0) where r >> R$. (d) (10 pts.) Find the exact potential at a point (r, 0) outside the sphere, and check that it is consistent with (c). (e) (10 pts.) Find the magnetic field at a point (r, 0) inside the sphere, and check that it is consistent with (b).