In series LCR circuit, the voltage across the inductance and the capacitance are not (a) out of phase with the voltage across the resistance by 90°. (b) equal in magnitude at resonance. (c) out of phase with each other by 180°. (d) in phase with the source voltage.

Answer: (d). (a) VL and VC are each 90° from VR: true. (b) At resonance XL = XC, so VL = VC: true. (c) VL leads i by 90°, VC lags by 90°: they are 180° apart: true. (d) The source voltage is at angle φ to i, so VL and VC are not in phase with it (at resonance they are ± 90° from it). So the answer is (d).

In series LCR circuit, the voltage across the inductance and the… | MHT CET 2023 (11 May, Shift 1)

Q32MHT CET 2023 · 11 MAY · SHIFT 1Easy

Series LCR Circuit

In series LCR circuit, the voltage across the inductance and the capacitance are not

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Answer: (d)

(a) $V_L$ and $V_C$ are each $90^\circ$ from $V_R$ : true.
(b) At resonance $X_L = X_C$ , so $V_L = V_C$ : true.
(c) $V_L$ leads $i$ by $90^\circ$ , $V_C$ lags by $90^\circ$ : they are $180^\circ$ apart: true.
(d) The source voltage is at angle $\phi$ to $i$ , so $V_L$ and $V_C$ are not in phase with it (at resonance they are $\pm 90^\circ$ from it).
So the answer is (d).

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