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Two metal spheres, A and B, are moved so they touch a metal, neutral rod. Initially, A was negatively charged and B was positively charged, both in equal amounts. What is the charge state of the spheres after touching the rod?

Question

Two metal spheres, A and B, are moved so they touch a metal, neutral rod. Initially, A was negatively charged and B was positively charged, both in equal amounts. What is the charge state of the spheres after touching the rod?

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Solution

When the two metal spheres A and B touch the neutral metal rod, the charges on the spheres will redistribute in an attempt to reach an equilibrium state.

  1. Sphere A, which is negatively charged, will try to get rid of its excess electrons. These excess electrons will move to the neutral rod.

  2. Sphere B, which is positively charged, will try to gain electrons to neutralize its positive charge. It will attract the excess electrons from the rod.

  3. Since the spheres were charged equally but oppositely, the amount of negative charge on sphere A will be equal to the amount of positive charge on sphere B. Therefore, the rod will not gain or lose any net charge.

  4. After the redistribution of charges, both spheres A and B, as well as the rod, will become neutral because the negative and positive charges will cancel each other out.

So, the charge state of the spheres after touching the rod will be neutral.

This problem has been solved

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