A sample of a soft magnetic alloy is shaped into a prolate spheroid of aspect ratio

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

The Boundary-Value Problem, Ch Magnetisation, bound currents and H, completed

Problem

A sample of a soft magnetic alloy is shaped into a prolate spheroid of aspect ratio 1010, with demagnetising factor Na=0.0203N_a = 0.0203 along its long axis. A magnetometer measures χapp=40.0\chi_{\rm app} = 40.0 with the field applied along that axis. ((a)) Find the true susceptibility χm\chi_m of the alloy. ((b)) Say whether the demagnetising correction was important here.

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