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Physics 415: Electromagnetic Theory I
Prof. S. Teitel stte@pas.rochester.edu ----- 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.]

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