emhw10 - Electromagnetic Theory I Problem Set 10 Due: 7...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Electromagnetic Theory I Problem Set 10 Due: 7 November 2011 37. A point magnetic dipole with moment m = m z is placed at the center of a spherical shell with uniform magnetic permeability , and with inner and outer radii a, b respectively. a) Set up the boundary equations that determine the magnetic field in the three regions < r < a , a < r < b , r > b . b) Solve the equations of part a) to find the B and H fields in all three regions. c) Discuss the two extreme limits and 0. Determine the limiting B and H fields in each region, and discuss the qualitative differences of the two limits. d) Calculate the difference U = U =0- U = of the total magnetic field energy stored in the two limiting situations. Handle the divergence when r 0 by excluding the region < r a in the energy integral. The divergence cancels in U , and you can then take 0. Can you understand the sign in terms of the qualitative behavior of the fields?...
View Full Document

This note was uploaded on 01/08/2012 for the course PHY 6346 taught by Professor Staff during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online