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Unformatted text preview: Y lm , however, if you give it a little thought a simpler method will emerge. 3) In class the magnetic Feld due to a sphere of radius R with uniform magnetization was obtained via solution of the Laplace equation. Now that you know the expansion of | r-r ′ | − 1 in spherical coordinates you can obtain the Felds from a surface integral, do so. 4) When a dielectric sphere of radius R and dielectric constant ǫ/ǫ = k is placed in an initially uniform electric Feld, E = E e x , it becomes polarized. JDJ on pages 157-8 shows that the polarization is P = 3 ǫ k − 1 k +2 E . a) If the sphere is set spinning with angular velocity ω e z , that is about an axis perpendicular to E , there will be a non-zero magnetic Feld everywhere, Fnd that Feld. 1...
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This note was uploaded on 12/24/2011 for the course PHYS 5406 taught by Professor Blecher during the Spring '10 term at Virginia Tech.
- Spring '10