Question: The electrostatic polarization inside an origin-centered sphere is P(r) = P(r). (a) Show that (r) outside the sphere is equal to the potential of a

The electrostatic polarization inside an origin-centered sphere is P(r) = P(r). 

(a) Show that φ(r) outside the sphere is equal to the potential of a point electric dipole at the origin with a moment equal to the electric dipole moment of the entire sphere. 

(b) What is φr) inside the sphere?

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