Two large parallel conducting sheets (placed at finite distance) are given charges Q and 2Q respectively. Find out charges appearing on all the surfaces.

Explanation

Let there is x amount of charge on left side of first plate, so on its right side charge will be Q-x, similarly for second plate there is y charge on left side and 2Q - y charge is on right side of second plate

`E_(p) = 0` (By property of conductor)
`rArr (x)/(2A epsilon_(0)) - {(Q-x)/(2A epsilon_(0)) + (y)/(2A epsilon_(0)) + (2Q-y)/(2 A epsilon_(0))} = 0`
we can also say that charge on left side of P = charge on right side of P
`x = Q - x + y + 2Q - y`
`rArr x = (3Q)/(2), Q - x = (-Q)/(2)`
Similarly for point Q :
`x + Q - x + y = 2Q - y`
`rArr y = Q//2, 2Q - y = 3Q//2`
So final charge distribution of plates is :-