ssm Consider three identical metal spheres, A, B, and C. Sphere A carries a char

Question

ssm Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +4q. Sphere B carries a charge of -7q. 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?
1 q

(b) What is the total charge on the three spheres before they are allowed to touch each other?
2 q

(c) What is the total charge on the three spheres after they have touched?
3 q

Explanation / Answer

the charges will equalize so they balance total charge of the 3 spheres together is 3q when A touches B the net charge between them is 3 so 1.5q stays on A and 2.5q goes onto B leaving B at 1.5 q when you touch A to C ... A has 1.5 q and C has 0 so total is 1.5 q that means A will have 0.75q and C will gain 0.75q..... C= 0.75q and B= 1.5q touch and then total charge is 2.25q so C would gain 0.375q and B would loose 0.375q so each would be left with C = B = 1.125q a) C/q = 1.125 b) not sure what you mean final total charge is same its 3 A = 0.75q ... B = C = 1.125q so adding them adds to 3 the total charge has to be the same

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