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- + 1/3 points | Previous Answers CJ10 18.P.005. My Notes • Ask Your Teacher Con

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Question

- + 1/3 points | Previous Answers CJ10 18.P.005. My Notes • Ask Your Teacher Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -6q. Sphere B carries a charge of +79. 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. Last, sphere C is touched to sphere B and separated from it. For the following questions, express your answers in terms of q. (a) How much charge ends up on sphere C? .3759 (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? 1.875 Additional Materials V Section 18.4

Explanation / Answer

Initially:

QA= -6q, QB = +7q, QC = 0

1. After A & B are touched together: The of charges on A and B (= -6q + 7q = q)will be distributed equally between them.

QA= 0.5q, QB = 0.5q, QC = 0

2. After A and C are toched together: The of charges on A and C (= 0.5q + 0 = 0.5q)will be distributed equally between them.

QA= 0.25q, QB = 0.5q, QC = 0.25q

2. After B and C are toched together: The of charges on B and C(= 0.5q + 0.25q = 0.75q)will be distributed equally between them.

QA= 0.25q, QB = 0.375q, QC = 0.375q Final Charges on A, B & C -ANS (a)

Total charge before they touch each other = -6q + 7q = q -ANS (b)

Total charge after they have touched = 0.25q + 0.375q + 0.375q = q -ANS (c)

Total charge is not going to change.You are forgetting to write q in ans b and c.