Letter | Published:

Magnetic Induction in Continuous Media

Abstract

CONSIDER a volume of any shape, occupied by material of unit permeability, having resistivity ; (e.m.u.) placed in an alternating magnetic field of arbitrary distribution, sinusoidal in time, with pulsatance p. Let L specify its leading dimension. The three parameters which, together with the applied field distribution, determine the heat generated and the power dynamically conserved in the volume , are L, , p. Then if H (e.m.u.) denotes the amplitude of the magnetic field at a particular point, the, heat generated can be written , where the function f depends, inter alia, on the distribution of H. It is supposed that the greatest dimension of the volume is short compared with 2πc/p.

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