In an electrical circuit ' R ', ' L ', ' C ' and an a.c. voltage… | MHT CET 2025 (21 Apr, Shift 2)

Q21MHT CET 2025 · 21 APR · SHIFT 2Medium

Series LCR Circuit

In an electrical circuit ' $R$ ', ' $L$ ', ' $C$ ' and an 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 $\left(\tan\frac{\pi}{3} = \sqrt{3}\right)$

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Answer: (d)

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 (d) 1.

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Series LCR Circuit question from MHT CET 2025 (21 Apr, Shift 2)

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