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 `pi//3`. If instead, `C` is removed from the circuit, difference the phase difference is again `pi//3`. The power factor of the circuit is

Options

A. 1
B. `(sqrt(3))/(2)`
C. `(1)/(2)`
D. `(1)/(sqrt(2))`

Answer

A

Explanation

It is the condition of resonance therefore phase difference between voltage and current is zero and power factor cos `phi=1`