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## Homework Statement

Prove that there is no charge inside a SOLID conductor, and thus, charges are only on the surface.

## Homework Equations

Gauss's Law (Maybe)

## The Attempt at a Solution

I have been doing some research on it on some websites.

It mentioned that, "you make a Gaussian surface inside the conductor. And since we know that the electric field inside any conductor is 0 so there is no charge inside the conductor..."

The problem is that, those websites haven't prove that the electric field inside a conductor is perfectly zero ( which I find mind-blowing ) .

Can anybody provide a proof (preferably mathematical) either that the net [itex]\vec{E}[/itex] inside is zero or that there is no charge inside?

Any help is very much appreciated.

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