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Q.

The two plates x and y of a parallel plate capacitor of capacitance C are given a charge of amount Q each. x is now joined to the positive terminal and y to the negative terminal of a cell of emf V=QC, then select the correct statements 

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a

The total charge on the plate x will be 2Q

b

The energy supplied by the cell is CV2

c

The total charge on the plate y will be zero

d

A charge of amount Q will flow from the posistive terminal to the negative terminal of the cell through the capacitor

answer is A, B, C, D.

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Detailed Solution

Let the charge flowing from the positive terminal to the negative terminal of the battery be q, then

q=CV=CQC=Q

Question Image

Total charge on plate x is Q+q=Q+Q=2Q

Total charge on plate y is Q-q=Q-Q=0

The energy supplied by the cell is Wbattery=QCq=Q2C=CV2

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