An LCR circuit contains resistance of 100 W and a supply of 200 V at 300 rad angular frequency. If only capacitance is taken out from the circuit and the rest of the circuit is joined, current lags behind the voltage by 60°. If, on the other hand, only inductor is taken out, the current leads by 60° with the applied voltage. The current flowing in the circuit is

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1 A

1.5 A

2 A

2.5 A

answer is C.

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Detailed Solution

According to the given questiontan60∘=ωLR and tan60∘=1/ωCR∴(ωL)=(1/ωC)(case of resonance)Z=R2+(ωL-1ωC)2=100Ω∴Irms=ErmsZ=200V100Ω=2A.

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