In an electrical circuit, R, L, C and AC voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and current in the circuit is \(\frac{1}{2}\). Instead, if C is removed from the circuit, the phase difference is again \(\frac{π}{3}\). The power factor of the circuit is-
(a) \(\frac {1}{2}\)
(b) \(\frac {1}{\sqrt2}\)
(c) 1
(d) \(\frac{\sqrt3}{2}\)