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Q.

Three identical metal plates with large 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 rightmost plate.

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a

−Q/4

b

−2Q

c

−Q

d

−Q/2

answer is D.

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Detailed Solution

Consider the Gaussian surface where the induced charge is as shown in the figure. The net field at P due to all the charges is zero, i.e., −2Q+q2Aε0(left)+q2Aε0(right)+q−q2Aε0(right)=0or −2q+q−Q+q=0or q=32QCharge on the right side of the rightmost plate is−2Q+Q=−2Q+32Q=−Q2

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Three identical metal plates with large 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 rightmost plate.