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Question about Electricity: Charge Conservation

Physics

Originais Teachy

Electricity: Charge Conservation

Hard

(Originais Teachy 2025) - Question Hard of Physics

A positively charged rod with a charge of +8.00 µC is used to induce charges on three identical metal spheres, A, B, and C, which start off neutral. First, sphere A is brought close to the rod without touching it, causing a separation of charges. Then, sphere A is earthed, allowing electrons to flow in and neutralize the charge. Next, sphere B is charged in the same way as sphere A. Finally, spheres B and C are brought into contact and then separated again. Considering the conservation of electric charges in the system, what will be the final charge on each of the spheres A, B, and C after all the procedures?
a.
Charge of sphere A: 0.00 µC; Charge of sphere B: -4.00 µC; Charge of sphere C: -4.00 µC.
b.
Charge of sphere A: -6.00 µC; Charge of sphere B: -2.00 µC; Charge of sphere C: -2.00 µC.
c.
Charge of sphere A: -8.00 µC; Charge of sphere B: -8.00 µC; Charge of sphere C: 0.00 µC.
d.
Charge of sphere A: -4.00 µC; Charge of sphere B: -4.00 µC; Charge of sphere C: -4.00 µC.
e.
Charge of sphere A: -8.00 µC; Charge of sphere B: -4.00 µC; Charge of sphere C: -4.00 µC.

Answer sheet:

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