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Two conducting spheres of different radii carrying the same charge are joined by a fine wire. Charge flows until

  • A.both spheres are at the same potential
  • B.both spheres carry the same charge as before
  • C.both spheres carry the same surface charge density
  • D.the smaller sphere carries the whole of the charge

Answer: A

Connecting them makes one conductor, and a conductor in equilibrium is at a single potential throughout. Since the potential of an isolated sphere is its charge divided by its radius times the constant, equal potential means the charges divide in proportion to the radii, and the smaller sphere ends with the greater surface density and the stronger field.

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