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### Problems1

Course: PH 632, Fall 2008
School: Oregon State
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Word Count: 161

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Set Problem #1 A. W. Stetz January 11, 2008 These problems are due Friday, January 18. 1. In class we derived the following denition for the magnetic moment of a at loop of wire. m = nI area of loop This can easily be generalized to a loop that is not at. m=I s n da When discussing vector potentials we came up with m= Prove that these are equivalent. Hint: There are probably many ways of doing this, but I...

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Set Problem #1 A. W. Stetz January 11, 2008 These problems are due Friday, January 18. 1. In class we derived the following denition for the magnetic moment of a at loop of wire. m = nI area of loop This can easily be generalized to a loop that is not at. m=I s n da When discussing vector potentials we came up with m= Prove that these are equivalent. Hint: There are probably many ways of doing this, but I found the following (obscure) variant of theorem Stokess useful dr A = S I 2 r dr ( n ) A dS 2. A sphere is surface charged uniformly with charge density and rotated with angular velocity around the polar axis. Find B and H everywhere. Hint: Since the magnetic scalar potential M satises 2 M = 0 you ...

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