A sphere of radius R, centered at the origin, carries charge density ρ(r, θ) = kRr^2(R − 2r ) cos θ where k is a constant, and r, θ are the usual spherical coordinates. Find the approximate potential for points on the z axis, far from the sphere.

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A sphere of radius R, centered at the origin, carries charge density
ρ(r, θ) = kRr^2(R − 2r ) cos θ
where k is a constant, and r, θ are the usual spherical coordinates. Find the
approximate potential for points on the z axis, far from the sphere.

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