Suppose you have three identical metal spheres, A, B, and C. Initially sphere A carries a charge

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Suppose you have three identical metal spheres, A, B, and C. Initially sphere A carries a charge \(q\) and the others are uncharged. Sphere A is brought in contact with sphere B, and then the two are separated. Spheres C and B are then brought in contact and separated. Finally spheres \(A\) and \(C\) are brought in contact and then separated. What is the final charge on each sphere, in terms of \(q\) ?

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