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Q.

Two large, parallel metal plates, each having area A, are oriented horizontally and separated by a distance 3d. A grounded conducting wire joins them, and initially each plate carries no charge. Now a third identical plate carrying charge Q is inserted between the two plates, parallel to them and located a distance d from the upper plate, as shown in fig. What is the ratio of induced charges on the upper and lower plates?
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answer is 2.

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Detailed Solution

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Since,  VBA=VBC

qAε0d=QqAε02dq=2Q2qq=2Q3;      Qq=Q3
  
Required ratio=qQq=2Q3Q3=2

 

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