An LCR circuit contains resistance of $$100$$Ω 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 $$600$$. If, on the other hand, only inductor is taken out, the current leads by $$600$$ with the applied voltage. The current flowing in the circuit is

Question

An LCR circuit contains resistance of $$100$$Ω 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 $$600$$. If, on the other hand, only inductor is taken out, the current leads by $$600$$ with the applied voltage. The current flowing in the circuit is

Infinity Learn · Accepted Answer

According to the given question,$$tan$$ $$600=$$ωLR and $$tan$$ $$600=1/$$ωCR∴ ω$$L=1/$$ωCcase of resonanceNow $$Z=R2+$$ω$$L-1$$ω$$C2=100$$Ω∴$$Irms=ErmsZ=200$$ $$V100$$ Ω$$=2$$ A

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