Capacitance of a body versus capacitance of inscribed and circumscribed spheres

  1. just out of curiosity - it seems evident to me that the capacitance of a conductive body should be between the capacitance of an inscribed sphere and the capacitance of a circumscribed sphere. But I can't figure out how to prove this.

    If you prove this, it follows that the energy required to assemble a charge distribution of some conductor is between the energy required to assemble a circumscribed sphere of the same potential and an inscribed sphere of the same potential (or of the same total amount of charge).
     
  2. jcsd
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