Prove that if an isolated (isolated means no charges are near the sheet) large conducting sheet is given a charge, then the charge distributes equally on its two surfaces.

Explanation

Let the be x charge on the left side of the sheet and `Q-x` charge on
the right side of the sheet. Let us take a
point P inside the plate.
Since P lies inside the conductor,
`E_P = O`
`implies (x)/(2Aepsilon_0) - (Q-x)/(2Aepsilon_0) = 0 or (2x)/(2Aepsilon_0) = Q/(2Aepsilon_0)`
or `x = Q/2 and Q-x = Q/2`
So charge in equally distributed on both sides.
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