A conducting sphere with a diameter of (8.00 mathrm{~cm}) carries a charge of (3.5 mathrm{nC}) that is

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A conducting sphere with a diameter of \(8.00 \mathrm{~cm}\) carries a charge of \(3.5 \mathrm{nC}\) that is uniformly distributed. Calculate

(a) the surface charge density of the sphere 

(b) the electric potential of the sphere relative to the potential far away.

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