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  rr ′  − 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 1578 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 nonzero magnetic Feld everywhere, Fnd that Feld. 1...
View
Full Document
 Spring '10
 Blecher
 Geometry, Magnetism, Fundamental physics concepts, charge density, Green function

Click to edit the document details