Find the approximate electrostatic potential, at points far from the sphere, and compare it tothe exact answer given above. What can you conclude about the higher multipoles? If a charged sphere has a surface charge density ofo = k cos 0glued over its surface (where k is a constant and is the usual polar angle), then the exact potentialoutside the sphere isV(r, 0)kR³ 13€0 r2which can be derived using the method of separation of variables.Cos 0r≥ R,

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Answered: If a charged sphere has a surface…

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If a charged sphere has a surface charge density of o= k cos 0 glued over its surface (where k is a constant and is the usual polar angle), then the exact potential outside the sphere is kR³ 1 360 r2 which can be derived using the method of separation of variables. V(r, 0) = cos r>R,