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Consider three identical metal spheres, A, B, and C
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
Expert Solution
Answer:
Given that intial charge on A is +4q
charge on B is -7q
if A and B are touched together then
the total charge on A and B is -3q
so charge on each of them after seperation is -1.5q
now A is kept in touch with C
then the total charge on A and C is -1.5q
hence the charge on each of them after seperation is -0.75q
now B and C are kept in touch with each other
so the total charge on B and C is -2.25q
hence the charge on each of them is -1.125q
a) so the charge on C is -1.125q
b) the total charge on the spheres is -3q before they allowed to touch each other
c) the total charge on the spheres after they have touched is -3q
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