A toroid of mean radius is closely and uniformly wound with turns carrying a steady…
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=0.12m is closely and uniformly wound with N=750 turns carrying a steady free current I=0.40A. The whole of the toroid is filled with a linear magnetic material of susceptibility χm=899 (an effective low-field value for a soft iron; the material is treated as linear throughout). The cross-section is small enough that all quantities may be evaluated at the mean radius.
((a)) Find the relative permeability μr of the core.
((b)) Find the magnitude of H inside the core at the mean radius.
((c)) Find the magnitude of B there.
((d)) Find the magnitude of the magnetisation M there.