Suppose the field inside a large piece of magnetic material is B0, so that where M is a...

Suppose the field inside a large piece of magnetic material is B₀, so that where M is a “frozen-in” magnetization.

(a) Now a small spherical cavity is hollowed out of the material (Fig. 6.21). Find the field at the center of the cavity, in terms of B₀ and M. Also find H at the center of the cavity, in terms of H₀ and M.

(b) Do the same for a long needle-shaped cavity running parallel to M.

(c) Do the same for a thin wafer-shaped cavity perpendicular to M.

Figure6.21