capacitance of a body versus capacitance of inscribed and circumscribed spheresby bhh1988 Tags: body, capacitance, circumscribed, inscribed, spheres, versus 

#1
Oct2609, 07:52 PM

P: 4

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). 


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