Question: In Ex. 3.9 we derived the exact potential for a spherical shell of radius R, which carries a surface charge = k cos .

In Ex. 3.9 we derived the exact potential for a spherical shell of radius R, which carries a surface charge σ = k cos θ.

(a) Calculate the dipole moment of this charge distribution.

(b) Find the approximate potential, at points far from the sphere, and compare the exact answer (3.87). What can you conclude about the higher multi poles?

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