Phys 200B – HW3

Due Tuesday 18-Jan-05 10:30AM to Daniel Hale

3-1. Consider a type-I superconducting sphere of radius a placed in an otherwise uniform magnetic field B_o. Determine the induced magnetic dipole moment and write and expression for the magnetic field external to the sphere in terms of the external field and the magnetic dipole moment of the sphere.

3-2. A soft iron ring with a 1.0 cm air gap is wound with a toroidal winding. The mean length of the iron ring is L, its cross sectional area is A, its permeability if m, and the number of turns in the winding is N. Find B and H inside the iron and in the air gap.

3-3. Problem 4.10 in Jackson