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Unformatted text preview: HW 2 Phys5406 S10 due 2/4/10 1) In HW1 I gave the scalar potential from which B , H fields could be obtained for the following case: a sphere of radius R with uniform magnetization M = M e z in vacuum. Sup- pose instead you had a very large volume of magnetic material with the same magnetization with a spherical hole of radius R. What are the fields inside and outside the hole. Think first, this should not be a lengthy calculation using material not covered. 2) A rectangular parallelopiped has length 2c in the z direction, cross sectional area (2a) (2b) in the xy plane, and uniform magnetization M = M e z . Calculate the H , B fields at every point in space. Put the origin at the center of the material. Use Mathematica or some table of integrals to evaluate the necessary integrals. Let a,b,c=1,1,10 m and get Mathemetica to plot the following fields: H x ,B x at x=y=0.5 for z=- 20 to z=20 m, H z ,B z at x=y=0 for z=- 20 to z=20 m. Youll know your calculation is correct if H x ,B z...
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- Spring '10