If two identical conducing sphere are in contact, any excess charge will be even

Question

If two identical conducing sphere are in contact, any excess charge will be evenly distributed between the two Three identical metal spheres are labeled A, B and C initially, A has charge q. B has charge -q/2 and C is uncharged. What is the final charge on each sphere if C is touched to B (removed and then touched to A? Express you answer in terms of q. Enter your answer separated by commas. Starting again from the initial condition, what is the charge on each sphere it C is touched to. A removed and then touched to B? Express you answer in terms of q. Enter your answer separated by commas.

Explanation / Answer

C has 0 initial charge. C is touched to B. B shares -q/2, yielding -q/4 each. C is touched to A, sharing (-q/4 +q ), yielding (-q/4 +q )/2 each.

final charges:
A=(-q/4 +q )/2 = 3q/8
B=-q/4
C=(-q/4 +q )/2 = 3q/8

b)
A=q/2
B=-q/4+q/4 = 0
C=-q/4+q/4 = 0

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