This one is tougher! A sphere of radius r has charge q.(a) What is the infinitesimal increase in clectric potential energy dU if an infinitesimalamount of charge dq is brought to infinity to the surface of the sphere?(b) An uncharged sphere can acquire a total charge Q by the transfer of charge dqover and over and over. Use your answer to part a to find an cxpression for thepotential energy of a uniformly-charged sphere of radius R with total charge Q.Answer: U = 3_1 Q²5 4tc0 R'(c) Your answer to part b is the amount of energy nceded to assemble a chargedsphere. It is often called the self-energy of the sphere. What is the self-energy ofa proton, assuming it to be a charged sphere with a diamcter of 1.0 x 10 15 m?

To determine:a) Infinitesimal increase in Potential energy dU when an infinitesimal charge dq is…

Answered: This one is tougher! A sphere of radius…

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