The resistor ' R ' inductance ' L ' and capacitance ' C ' are… | MHT CET 2026 (17 Apr, Shift 1)

Q11MHT CET 2026 · 17 APR · SHIFT 1Medium

Series LCR Circuit

The resistor ' $R$ ' inductance ' $L$ ' and capacitance ' $C$ ' are connected in series with an a.c. source. When 'L' is removed from the circuit, the phase difference between voltage and 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: (d)

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

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Series LCR Circuit question from MHT CET 2026 (17 Apr, Shift 1)

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