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2. A sphere of radius R has the diclectric constant e. The net charge on the sphere is zero but it has the polarization P-krf (C/n2) in spherical coordinates (k is a constant with the appropriate units) a) (12 points) Calculate the bound charge density ps(C/m3) and the surface bound charge density ơs(C/m2). b) (15 points) Calculate the E-field for R and for R. Use Coulombs law with the net bound charge density (volume and surface) as oded. Which component(s) of E is (are) continuous at r-R? Are the boundary conditions we derived in class satisfied?

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