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Question

- The charge on B is 12(Q1−Q2).
- The charge on A is 12(Q1+Q2).
- The charge on C is -12(Q1−Q2).
- The charge on D is 12(Q1+Q2)

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Solution

Verified by Toppr

As the field inside X plate is zero, 12Aϵ0(Q1−q−q−Q2+q′−q′)=0

−2q=Q2−Q1⇒q=12(Q1−Q2)

similarly for Y plate, 12Aϵ0(q′−Q2+q′−q−Q1+q)=0

or 2q′=Q1+Q2⇒q′=12(Q1+Q2)

Thus, charge on A is Q1−q=Q1−12(Q1−Q2)=12(Q1+Q2).

charge on B is q=12(Q1−Q2)

charge on C is Q2−q′=Q2−12(Q1+Q2)=−12(Q1−Q2)

Charge on D is q′=12(Q1+Q2)

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