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_(q)=0` (By property of conductor)

`implies(x)/(2Aepsilon_(0))-{(Q-x)/(2Aepsilon_(0))+(y)/(2Aepsilon_(0))+(2Q-y)/(2Aepsilon_(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`
`impliesx=(3Q)/(2),Q-x=(-Q)/(2)`

Similarly for point Q:
`x+Q-x+y=2Q-y`
`impliesy=Q//2,2Q-y=3Q/2`
So final charge distribution of plates is :