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Two large parallel conducting sheets (pl...

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

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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,
`E_(p)=0` (By property of conductor)
`implies x/(2Aepsi_(0))-{(Q-x)/(2Aepsi_(0))+y/(2 A epsi_(0))+(2Q-y)/(2 Aepsi_(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" "implies" "x=(3Q)/2, Q-x= (-Q)/2`
similarly, for point `Q : x+Q-x+y=2Q-y`
`implies y=Q//2, 2Q-y=3Q//2`
So, final charge distribution of plates is
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