In an electrical circuit R, L, C and an AC voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is / 3 . If instead, C is removed from the circuit, the phase difference is again / 3 . The power factor of the circuit is

Step-by-step solution

Here, phase difference aligned & = X_L-X_C R 3 & = X_L-X_C R aligned When, L is removed aligned & 3 = X_C R & X_C= 3 R aligned When C is removed gathered 3 = 3 = X_L R X_L=R 3 gathered Hence, in resonant circuit aligned & = 3 R- 3 R R =0 & =0 aligned Power factor =1 It is the condition of resonance therefore phase difference between voltage and current is zero and power factor is =1 .