Question:
In a series LCR circuit at resonance, the applied e.m.f. of the source and current in the circuit are:
In a series LCR circuit at resonance, the applied e.m.f. of the source and current in the circuit are:
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At resonance in a series LCR circuit, the voltage and current are in phase, as the reactances cancel each other out.
Updated On: Feb 9, 2026
- out of phase.
- differ in phase by \( \frac{\pi}{2} \) rad.
- in phase.
- differ in phase by \( \frac{\pi}{4} \) rad.
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The Correct Option is C
Solution and Explanation
Step 1: Understanding Resonance in LCR Circuit.
At resonance, in a series LCR circuit, the inductive reactance \( X_L \) and capacitive reactance \( X_C \) are equal, and thus, the total impedance is purely resistive. The voltage across the components and the current are in phase with each other.
Step 2: Final Answer.
Thus, the applied e.m.f. and the current are in phase at resonance.
At resonance, in a series LCR circuit, the inductive reactance \( X_L \) and capacitive reactance \( X_C \) are equal, and thus, the total impedance is purely resistive. The voltage across the components and the current are in phase with each other.
Step 2: Final Answer.
Thus, the applied e.m.f. and the current are in phase at resonance.
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