A series LCR circuit containing 5.0 H inductor, 80 µF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be : (1) 42 rad/s and 58 rad/s (2) 25 rad/s and 75 rad/s (3) 50 rad/s and 25 rad/s (4) 46 rad/s and 54 rad/s
ω0=1/√LC=1/√5×80×10−6 =1/√4×10−4= 10^2/2=50 Half power frequency band width is R/L =40/5=8 Half power frequencies 50−4=46Hz and 50+4=54Hz
