A toroid of mean radius carries closely and uniformly wound turns with a steady free…

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 toroid of mean radius

s = 0.050\,\mathrm{m}

carries

N = 600

closely and uniformly wound turns with a steady free current

I = 0.25\,\mathrm{A}

. The toroid is empty (treat the interior as vacuum,

\mathbf{M} = 0

). All quantities are to be evaluated at the mean radius. ((a)) Find the magnitude of

\mathbf{H}

inside the toroid. ((b)) Find the magnitude of

\mathbf{B}

inside the toroid. ((c)) The toroid is now completely filled with a linear material of relative permeability

\mu_r = 1200

, the winding and the current being unchanged. Find the magnitude of

\mathbf{H}

inside the core now.