Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q....

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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?

  
(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?

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