A ferrite fridge magnet is a thin disc of diameter and thickness

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Magnetostatics · Magnetic materials

Electricity, Magnetism and Electromagnetism, Ch Magnetisation, bound currents and the auxiliary field H

Problem

A ferrite fridge magnet is a thin disc of diameter 30 mm30\,\mathrm{mm} and thickness 3.0 mm3.0\,\mathrm{mm}, magnetised uniformly across its flat faces with M=1.4×105 A m−1M = 1.4\times10^{5}\,\mathrm{A\,m^{-1}}. There is no free current anywhere. For the shapes quoted in this chapter, the interior auxiliary field of a uniformly magnetised body is: in a thin disc magnetised across its faces, H\mathbf{H} close to −M-\mathbf{M}; in a long thin needle magnetised along its length, H\mathbf{H} close to zero. ((a)) Predict the magnitude of H\mathbf{H} inside the disc and state its direction relative to M\mathbf{M} and relative to the disc's north face. ((b)) Hence predict the magnitude of B\mathbf{B} inside the disc. ((c)) A needle of the same ferrite, magnetised along its length to the same MM, is compared with the disc. Predict the magnitude of B\mathbf{B} deep inside the needle.

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