Three isolated conducting spheres have radii 1 cm, 2 cm

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Conductors and Capacitors · Conductors and Capacitors

Problem

Three isolated conducting spheres have radii 1 cm, 2 cm, and 3 cm. Sphere 1 initially carries +4 nC, sphere 2 carries –2 nC, and sphere 3 is uncharged. The following sequence is performed: 1. Sphere 1 is touched to sphere 2 and then separated. 2. Sphere 2 is touched to sphere 3 and then separated. What is the final charge on sphere 3? (a) 0.67 nC0.67\ \text{nC} (b) 1.11 nC1.11\ \text{nC} (c) 0.80 nC0.80\ \text{nC} (d) 0.53 nC0.53\ \text{nC}

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