Physics 2420 In-Class Problems: Magnetic Fields in Materials

1. A permanent magnet has the shape of a right circular cylinder of length L. If the magnetization M is uniform and has the direction of the cylinder axis, find the surface and volume current densities.
2. Find the distribution of magnetization currents corresponding to a uniformly magnetized sphere with magnetization M.
3. A sphere of magnetic material of radius R is placed at the origin of coordinates. The magnetization is given by M = (ax²+b)i, where a and b are constants. Determine the magnetization current densities.
4. A conducting cylinder is coated with a magnetic material with inner radius a, outer radius b, and permeability μ. The cylinder carries a uniform current I. Determine the magnetic field, the magnetic flux density, the magnetization, and the magnetization currents.

Questions?mike.coombes@kwantlen.ca