A LCR series circuit with 100 ohm resistance is connected to an ac source of 200 V and angular frequency of 300 rad/s. When only the capacitance is removed, the current lags behind the voltage by 60 degrees. When only the inductor is removed, the current leads the voltage by 60 degrees. Calculate the current in the circuit. 

Dear Student,

tanϕ=XLR=XCRtan60°=XLR=XCR3=XLR=XCRXL=XC=3RZ=R2+XL-XC2Z=R2+3R-3R2Z=R2=Rcurrent, I=VZI=200100=2 A

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