Q.

An LCR circuit contains resistance of 110Ω   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:

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a

1.5A

b

1A

c

2A

d

2.5 A

answer is C.

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Detailed Solution

R=110 ΩVrms=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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