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 there is x charge on left side of sheet and Q-x charge on right side of sheet.
Since point P lies inside the conductor so `E_(P)=O`
`(x)/(2A epsilon_(o))-(Q-x)/(2A epsilon_(o))=0 rArr (2x)/(2A epsilon_(o))=Q/(2A epsilon_(o))rArr x=Q/2`
`Q-x=Q/2`
So charge is equally distributed on both sides