An LCR circuit contains resistance of $$110$$Ω and a supply $$220V$$ at $$300$$ $$rad/s$$ angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by $$450$$ . If on the other hand, only inductor is removed the current leads by $$450$$ with the applied voltage. The rms current flowing in the circuit will be:

Question

An LCR circuit contains resistance of $$110$$Ω   and a supply $$220V$$  at $$300$$ $$rad/s$$ angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by $$450$$ . If on the other hand, only inductor is removed the current leads by $$450$$ with the applied voltage. The rms current flowing in the circuit will be:

Infinity Learn · Accepted Answer

$$R=110$$ Ω$$Vrms=220$$ Vω$$=300rad/sCase$$ $$1$$ : only L and R present $$tan45$$°$$=XLR$$ Case $$2$$ : only C and R $$presenttan45$$°$$=XCRThus$$, $$XL=XC$$∴$$Z=R$$⇒$$Irms=VrmsZ=220110$$ ⇒$$Irms=2A$$

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