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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?...
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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.
- Spring '08