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 +4q. Sphere B carries a charge of -q. 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) what is the ratio of the final charge of sphere C to q? What is the ratio of the final total charge on the three spheres to q (b) before they are allowed to touch each other and (c) after they have touched? (a) Number Units (b) Number Units (c) Number Units

Explanation / Answer

Ans:-

When the two metal spheres are touched together the charge on them is equally distributed over the two. when they are separated the total charge is equally divided between them.

4q-q = 3q then 1.5q and 1.5q on A and B

0+1.5q=1.5q then 0.75q and 0.75q on C and A

0.75q + 1.5q = 2.25q , then 1.125q and 1.125q on C and B

a) Charge on C/q = 1.125

b) Sum of the charges on the three spheres 0.75q + 1.125q + 1.125q = 3q
The ratio of the final total charge on the three spheres to q is 3q/q = 3

  

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