Consider three identical metal spheres, A, B, and C. Sphere A carries a charge o

Question

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +8q. Sphere B carries a charge of -5q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) How much charge ends up on sphere C? q (b) What is the total charge on the three spheres before they are allowed to touch each other? q (c) What is the total charge on the three spheres after they have touched? q

Explanation / Answer

A=+2q B=+7q C=0q First A and B touch, thus after this A=+4.5q B=+4.5q C=0q Then C touches A, thus A=+2.25q B=+4.5q C=+2.25q Then C touches sphere B thus the charge on both C and B are, thus A=+2.25q B=+3.375q C=+3.375q (1) +3.375q -answer- (2) +2q+7q+0q=+9q -answer- (3) +2.25q+3.375q+3.375q=9q -answer-

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