In an electrical circuit, \( R, L, C \) and ac voltage source are all connected in series. When ...

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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 the current in the circuit is \( \frac{\pi}{3} \). If instead, \( C \) is removed from the circuit, the phase difference is again \( \frac{\pi}{3} \). The power factor of the circuit is
(a) \( \frac{1}{2} \)
(b) \( \frac{1}{\sqrt{2}} \)
(c) 1
(d) \( \frac{\sqrt{3}}{2} \)
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