Phys 742 -- Assignment 7 -- Due 2 April 96

1.

Jackson's problem 5.7

2.

Solve the boundary-value problem for a (type I) superconducting sphere of radius a ni an external magnetic field What is the magnetization in the sphere? What is the induced dipole moment (in magnitude and direction)?
The magnetization is equivalent to a surface current , which in this case is a real persistent surface current. Find the components of as a function of suitably chosen angles and
Find a vector potential that describes the total outside the sphere.

3.

Jackson's problem 5.10

4.

A long hollow cylinder of inner radius a, outer radius b, and of magnetic permeability is placed in a region of initial magnetic-flux density , at right angles to the field. Determine the screening factor, defined as the ratio between the field inside the cavity and


Vittorio Celli
Thu Mar 28 17:26:38 EST 1996