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