(a) How much charge ends up on sphere C? (b) What is the total charge on the thr

Question

(a) How much charge ends up on sphere C?

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

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

d separate considcr thrce identical metal sphcrcs, A, B, nd ·Sphere cames a charge of-89. sphere e camics a charge of *09. sphere c carics no net charge. Spheres A and B are touched together and then separated. spherc from it. Last, sphere C is touched to sphere B and separated from it. For the tollowing questions, express your answers in terms of q is then touched to sphere A and separated (a) How much charge ends up on sphere C? (b) What is the total charge on the three spheres before they are a lowed to touch each other? (c) What is the total charge on the three spheres ater they have touched?

Explanation / Answer

A and B touched :

total charge on A and B = 8q + 9q = 17 q

charge on A = charge on B = 17q / 2 = 8.5q

now A and c is touched:

charge on A = charge C = (8.5q + 0) / 2 = 4.25q

now B and C touched :

charge on B = charge on C = (4.25q + 8.5q)/2 = 6.375q

(A) qC = 6.375q

(B) total charge = 17q

(C) total charge = 17q

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