A sphere of radius R carries a polarization that follows P(7) = ke¯" f, where k is a constant wit the appropriate unit, and 7 is the vector from the center of the sphere. a) Calculate the surface bound charge density o,(7). b) Calculate the volume bound charge density pp(7). (Be careful about the spherica coordinates!) c) Find the potential V(7) inside and outside of the sphere. d) Find the electric field E(7) inside and outside of the sphere.

A sphere of radius R carries a polarization that follows P(7) = ke¯" f, where k is a constant wit the appropriate unit, and 7 is the vector from the center of the sphere. a) Calculate the surface bound charge density o,(7). b) Calculate the volume bound charge density pp(7). (Be careful about the spherica coordinates!) c) Find the potential V(7) inside and outside of the sphere. d) Find the electric field E(7) inside and outside of the sphere.