The potential at the surface of a sphere of radius R is given by V_0 = k cos(3θ), where k is a constant, and θ is the usual spherical coordinate. There is no charge inside or outside the sphere. (a) Find the potential inside and outside the sphere (b) Find the surface charge density σ(θ) on the sphere

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The potential at the surface of a sphere of radius R is given by V_0 = k cos(3θ), where k is a constant, and θ is the usual spherical coordinate. There is no charge inside or outside the sphere.
(a) Find the potential inside and outside the sphere
(b) Find the surface charge density σ(θ) on the sphere

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