Three identical metal plates with large equal surface areas are kept parallel to each other as shown in figure. The leftmost plate is given a charge –q, the rightmost a charge 2q and the middle one remains neutral. Find the charge appearing on the outer surface of the leftmost plate.
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Sol. Let the charge distribution on the plates is as shown in the figure
Equating electric field at point P inside the right most plate:
+ 0 + 
= 
∴ – q + x = 2q – x or x = 
∴ Charge on outer surface of leftmost plate is
- q + 
= 
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