E4M.1 Imagine that you have two identical neutral metal spheres on insulating st

Question

E4M.1 Imagine that you have two identical neutral metal spheres on insulating stands and a charged rubber rod. Using diagrams, carefully describe a step-by-step proce- dure that you can execute to give the two spheres exactly opposite charges (all without touching either sphere with the rod). Take care that your procedure ensures that each sphere will end up with charges having opposite signs but exactly the same magnitude, not just approximately the same. (Hint: Start with the spheres touching.)

Explanation / Answer

Touch one sphere with a charged rubber rod. The sphere attains the same charge as charged rubber rod. As it is on insulating stand the charge appears on the surface of sphere.

Take the rubber charged rod away from sphere.

Bring the second sphere close to the first sphere, but not touch the first sphere.

Connect the surface of second sphere to ground. i.e., the surface far from first sphere connect to ground.

Now charge induces on the second sphere exactly equal in magnitude but opposite nature.

Chargeinduce on second sphere

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