In lcr series circuit at resonance, the power factor is

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Concept:

• Resonance: In series LCR circuits, Resonance is a condition in which the inductive reactance and capacitive reactance are equal and lie opposite in phase, so cancel out each other. Only, resistance is left as impedance.
• Formula for power factor is calculated as ratio of resistance to total impedance.

\(\phi = \frac{{resistance\;of\;circuit}}{{Total\;impedance}}\)

Fig: a Series RLC circuit

Figure Phasor diagram for series RLC circuit

Explanation:

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Text Solution

0.101infinite

Answer : C

Solution : At resonance, for the series LCR circuit, the impedance Z=R and the circuit behaves as a purely resistive circuit, in which e and I are in phase. <br> `:.` The power factor is one.