Power factor of a series lcr circuit at resonance will be
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Power Factor at Resonance. At resonance, the inductive reactance is equal to capacitive reactance and hence the voltage across inductor and capacitor cancel each other. The total impedance of circuit is resistance only. ... Therefore, the phase angle between voltage and current is zero and the power factor is unity.
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In series LCR circuits, Resonance is a condition in which the inductive reactance and capacitive reactance cancel out each other. Only, resistance is left as impedance.
Formula for power factor is calculated as ratio of resistance to total impedance.
Thus, the power factor of a series LCR circuit at resonance will be 1 due to the presence of only resistance as effective impedance.
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