A series L C R circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π 3 . If instead C is removed from the circuit, the phase difference is again π 3 between current and voltage. The power factor of the circuit is:

Step-by-step solution

As phase angle contribution by capacitor and inductor are equal in magnitude, so ( gathered X _ L = X _ c L = 1 C gathered ) It means that the RLC circuit is in resonance condition. So, impedance at resonance, (Z= R^2+ (X_L-X_C )^2 = R^2+ (X_L-X_L )^2 = R^2 =R ) Thus, power factor, ( = R Z = R R =1 )