Consider three identical metal pheres, A. B,and C. Sphere Acais a charge oftt. S

Question

Consider three identical metal pheres, A. B,and C. Sphere Acais a charge oftt. Spbere B camies a charge separated. Sphere C is then touched to sphere A and separated from it. Last, sphere C is touched to sphere B and separated from it. (a) and (c) after they have touched? of-9. Sphere C carries no net charge. Spheres A and B are touched together and then 0. How much charge ends on sphere B after A and B touch and are separated? 21. How much charge ends up on sphere C? 22. What is the total charge on the three spheres (b) before they are allowed to touch each other?

Explanation / Answer

20)

charge on A = charge on B = (QA+QB)/2 = (5q - q)/2 = 4q/2 = +2q

OPTION (B)

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21)

when C is first touched to A

charge on C, Qc' = charge on A , QA' = (Qc + QA)/2 = (0 + 2q)/2 = q

when C is again touched to B

charge on C , Qc" = charge on B,QB'= (Qc' + QB)/2 = ( q + 2q)/2 = 3q/2 = +1.5 q

OPTION (B)

QA' + QB' + Qc" = q + 1.5q + 1.5q = + 4q

OPTION (D)

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