A Uniformly Charged Solid Sphere Of Radius R Carries A

A uniformly charged solid sphere of radius R carries a total charge Q, and is set spinning with angular velocity co about the z axis. 

(a) What is the magnetic dipole moment of the sphere? 

(b) Find the average magnetic field within the sphere (see Prob. 5.57). 

(c) Find the approximate vector potential at a point (r, θ) where r >> R. 

(d) Find the exact potential at a point (r, θ) outside the sphere, and check that it is consistent with (c). 

(e) Find the magnetic field at a point (r, θ) inside the sphere, and check that it is consistent with (b).

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