A series LCR circuit with L = 100 π mH , C = 10 - 3 π F and R = 10 Ω , is connected across an AC source of 220 V , 50 Hz supply. The power factor of the circuit would be ____.

Step-by-step solution

The capacitive reactance of the circuit is given by, X c = 1 ω C = π 2 π × 50 × 10 - 3 = 10 Ω The inductive reactance of the circuit is given by, X L = ω L = 2 π × 50 × 100 π × 10 - 3 = 10 Ω From above calculations, it is clear that X C = X L ∴ Power factor = R Z = R R = 1