A slab of magnetic material fills the region with

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

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

Problem

A slab of magnetic material fills the region

0 \le x \le d

with

d = 2.0\,\mathrm{cm}

, and is unbounded in the

y

and

z

directions. Its magnetisation grows linearly across the slab,

\mathbf{M} = M_0\frac{x}{d}\,\hat{\mathbf{z}}, \qquad M_0 = 4.0\times10^{5}\,\mathrm{A\,m^{-1}},

and is zero outside the slab. There is no free current anywhere. ((a)) Find the magnitude of the bound volume current density inside the slab, and state its direction. ((b)) Find the magnitude of the bound surface current per unit length on the face

x = d

, and state its direction. ((c)) Find the magnitude of the bound surface current per unit length on the face

x = 0

Related theory

Magnetic materials

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