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Q.

A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π3 . If instead C is removed from the circuit, the phase difference is again π3 between current and voltage. The power factor of the circuit is :

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a

0.5

b

1.0

c

-1.0

d

Zero

answer is B.

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Detailed Solution

tan⁡θ=XcR=3Xc=3Rtan⁡θ=XLR=3Xc=3RXL=Xc= Given Circuit is LCR resonate circuit power factor cos⁡θ=RZ=RX2−Xc2+R2=1
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