Consider three identical metal spheres, A, B, and C. Sphere Acarries a charge of +2q. Sphere B carries a charge of+3q. Sphere C carries no net charge. Spheres A and B aretouched together and then separated. Sphere C is then touched tosphere A and separated from it. Last, sphere C is touched to sphereB and separated from it. For the following questions, express youranswers in terms of q.
(a) How much charge ends up on sphere C?
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(b) What is the total charge on the three spheres before they areallowed to touch each other?
(c) What is the total charge on the three spheres after they havetouched?