Problem Set 5

Due Wednesday, November 13, in lecture

Problem 1 [20 points]
A dielectric shell, with inner radius a, outer radius b, and dielectric constant , is placed in a uniform external electric field E_o. 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 2 [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 B_o 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). [this is Jackson 5.14]

Last update: Tuesday, August 21, 2007 at 1:48:29 PM.