Physics 415: Electromagnetic Theory I
Prof. S. Teitel email@example.com ----- Fall 2003
Problem Set 5
Due Monday, November 17, in lecture
- Problem 1 [10 points]
Consider a wire, with cross-sectional area A, made of a magnetic material with magnetization density M. Show that the total bound current flowing through A vanishes.
- Problem 2 [20 points]
A spherical dielectric shell, with inner radius a, outer radius b, and dielectric constant , is placed in a uniform external electric field Eo. Find the electric field outside the shell (r>b), inside the shell (r<a), and in the dielectric (a<r<b). What is the field inside the shell in the limit that gets infinitely large?
- Problem 3 [20 points]
An infinitely long cylindrical shell of inner radius a and outer radius b, and of permeability µ, is placed in a uniform extermal magnetic flux density Bo which is directed at right angles to the axis of the cylinder. Find the magnetic flux density B outside the cylinder (r>b), inside the cylinder (r<a), and within the shell (a<r<b). [Hint: express the magnetic field H in terms of a scalar potential, and use separation of variables in cylindrical coordinates.]