ssm Consider three identical metal spheres, A, B, and C. SphereA carries a charg

Question

ssm Consider three identical metal spheres, A, B, and C. SphereA carries a charge of -2q. Sphere B carries a charge of +9q. Sphere Ccarries no net charge. Spheres A and B are touched together andthen separated. Sphere C is then touched to sphere A and separatedfrom it. Lastly, sphere C is touched to sphere B and separated fromit. (a) How much charge ends up on sphere C?
1q

(b) What is the total charge on the three spheres before they areallowed to touch each other?
2q

(c) What is the total charge on the three spheres after they havetouched?
3q
(a) How much charge ends up on sphere C?
1q

(b) What is the total charge on the three spheres before they areallowed to touch each other?
2q

(c) What is the total charge on the three spheres after they havetouched?
3q

Explanation / Answer

a) Spheres A and B are touched together and then separated:qA = qB = (-2q + 9q)/2 = 3.5q Sphere C is then touched to sphere A and separated from it:qA = qc = 3.5q/2 = 1.75 q Lastly, sphere C is touched to sphere B and separated from it:qB = qc = (3.5q + 1.75q)/2 = 2.625 q b) -2q + 9q = 7q c) 1.75q + 2.625q + 2.625q = 7q

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