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NEET 2012 (AIPMT, Prelims) · Series LCR Circuit

Series LCR Circuit question from NEET 2012 (AIPMT, Prelims)

Q60NEET 2012 · AIPMT · PRELIMSMedium

Series LCR Circuit

In an electrical circuit R, L, C and a.c. 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

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Answer: (c)

L removed: $X_C = R\tan\dfrac{\pi}{3} = \sqrt{3}R$ ; C removed: $X_L = \sqrt{3}R$ .
$X_L = X_C \Rightarrow$ resonance, $Z = R$ .
Power factor $= \dfrac{R}{Z} = 1$ . So the answer is (c) 1.

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