Why Do Charges Distribute Evenly on Conducting Plates and Spherical Conductors?

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why do the excess changes of a thin infinite conducting plates spread out evenly on the two faces? Is that just a way to minimize charge repulsion?
 
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conductors are the same or different from conducting plates? why or why not? why are all charges only on one surface, or maybe I'm understanding it wrong.

For spherical conductors why are all charges only at one surface
 
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