A LCR series circuit with 100 ohm resistance is connected to an ac source of 200 V and angular frequency - Physics - Alternating Current

Question

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

Vaibhav T. · Accepted Answer

Dear Student,

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