An LCR series circuit with 100Ω resistance is connected to an AC source of 200 V and angular frequency 300 radians per second. When only the capacitance is removed, the current lags behind the voltage by 60º. When only the inductance is removed, the current leads the voltage by 60º. Then the current and power dissipated in LCR circuit are respectively
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a
1A, 200 watt
b
1A, 400 watt
c
2A, 200 watt
d
2A, 400 watt
answer is D.
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Detailed Solution
When only capacitor is removed, the circuit will be RL circuit and tan ϕ1=XLR=3XL=1003ΩWhen only inductor is removed thentanϕ2=XCR=3 or XC=1003In LRC circuitZ=R2+XL−XC2=100Ωi=VZ=2AP=i2R=400W