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Three identical metal plates with large ...

Three identical metal plates with large surface areas are kept parallel to each as shown in figure (30-E8). The leftmost plate is given a charge Q, the rightmost a chrgear2Q and the middle one remains neutral. Find the charge appearing on the outer surface of the rightmost plate.

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Consider the gaussian surface the induced
charge be as shown in fig .
The nef field at p due to all the charge is
zero.
` (-2Q + q/2A(epsilon_0)) (left) + (q/2A (epsilon_0))(right)`
` + q - (q/2A(epsilon_0))(right) = 0 `
- 2 Q + q - Q + q = 0 `
q = 3/2 Q
charge on the side of right most plate
`= -2Q + q = -2Q + 3/2 Q `
` = - Q/2.`
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