Q.

In the circuit shown in figure, magnitude of instantaneous power consumed by the capacitor is

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a

zero

b

V02ωc2sin2ωt

c

V02ωt2

d

V02ωC cos2ωt

answer is B.

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Detailed Solution

If Q be the instantaneous charge, then QC=v∴Q=Cv=CV0cosωt⇒i=dQdt=−CV0ωsinωt∴ Magnitude of instantaneous powerp=vi=V0cosωt×CV0ωsinωt=V02ωC2sin2ωt
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In the circuit shown in figure, magnitude of instantaneous power consumed by the capacitor is