Classical Electrodynamics · Problem 5.19

Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws — John David Jackson

Physics — E&M · permanent-magnet-cylinder-field

Problem

A magnetically ``hard'' material is in the shape of a right circular cylinder of length

L

and radius

a

. The cylinder has a permanent magnetization

M_0

, uniform throughout its volume and parallel to its axis. (a) Determine the magnetic field

\mathbf{H}

and magnetic induction

\mathbf{B}

at all points on the axis of the cylinder, both inside and outside. (b) Plot the ratios

\mathbf{B}/\mu_0 M_0

and

\mathbf{H}/M_0

on the axis as functions of

z

for

L/a = 5