Questions

An LCR circuit contains resistance of $100\Omega $ 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^{0}. If, on the other hand, only inductor is taken out, the current leads by 60^{0} with the applied voltage. The current flowing in the circuit is

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a

1 A

b

1.5 A

c

2 A

d

2.5 A

detailed solution

Correct option is C

According to the given question,tan 600=ωLR and tan 600=1/ωCR∴ ωL=1/ωCcase of resonanceNow Z=R2+ωL-1ωC2=100Ω∴Irms=ErmsZ=200 V100 Ω=2 A

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