A superconductor has the property that its interior has B = 0 under all conditions. Let a sphere (radius R) of this kind sit in a uniform magnetic field B₀.
(a) Place a fictitious point magnetic dipolemat the center of the sphere. Findmfrom the matching condition on the normal component of B.
(b) In reality, the dipole field in part (a) is created by a current density K which appears on the surface of the sphere. Find K from the matching condition on the tangential component of B.
(c) Confirm your answer in part (a) by computing the magnetic dipole moment associated with K from part (b).