A sphere of linear magnetic material is placed in an otherwise uniform magnetic field B0...

A sphere of linear magnetic material is placed in an otherwise uniform magnetic field B₀. Find the new field inside the sphere. [Hint: See Prob. 6.15 or Prob. 4.23.]

Reference prob 6.15

If J _f = 0 everywhere, the curl of H vanishes (Eq. 6.19), and we can express H as the gradient of a scalar potential W:

According to Eq. 6.23, then,