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

Question

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

Infinity Learn · Accepted Answer

According to the given $$questiontan60$$∘$$=$$ωLR and $$tan60$$∘$$=1/$$ωCR∴$$($$ω$$L)=(1/$$ω$$C)(case$$ of $$resonance)Z=R2+($$ω$$L-1$$ω$$C)2=100$$Ω∴$$Irms=ErmsZ=200V100$$Ω$$=2A$$.

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