Charge Distribution on a Conducting Shell

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Seraph404
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This is just a quick conceptual question.

If you have a charge on the surface of a conductor, and the gaussian surface within that has a cavity containing a positive charge... and you move that charge off-center, does that affect the charge distribution on the surface of the conductor?
 
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You mean a charge inside a metal can? Yes, the charge on the can will move around in response to movement of the charge inside.