Three identical small conducting spheres A, B

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Three identical small conducting spheres A, B, and C are initially isolated. Sphere A carries +15 μC+15\,\mu\text{C}, sphere B carries −9 μC-9\,\mu\text{C}, and sphere C is neutral. The following sequence occurs: 1. A is touched to B and then separated. 2. B is touched to C and then separated. 3. C is touched to A and then separated. After this sequence, what is the final charge on sphere C? (a) +1.5 μC+1.5\,\mu\text{C} (b) +2.25 μC+2.25\,\mu\text{C} (c) +2.0 μC+2.0\,\mu\text{C} (d) +3.0 μC+3.0\,\mu\text{C}

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