The power factor in an L-C-R circuit at reson | vedclass

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(B) At resonance, the inductive reactance $(X_L)$ is equal to the capacitive reactance $(X_C)$, i.e., $X_L = X_C$.Therefore, the net impedance $(Z)$ o

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$1$

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(B) At resonance, the inductive reactance $(X_L)$ is equal to the capacitive reactance $(X_C)$, i.e., $X_L = X_C$.Therefore, the net impedance $(Z)$ of the $L-C-R$ circuit is equal to the resistance $(R)$, i.e., $Z = R$.The power factor $(\cos \phi)$ is defined as the ratio of resistance to impedance: $\cos \phi = \frac{R}{Z}$.Substituting $Z = R$, we get $\cos \phi = \frac{R}{R} = 1$.Thus, at resonance, the $L-C-R$ circuit behaves as a purely resistive circuit, and the power factor is $1$.

The power factor in an $L-C-R$ circuit at resonance is

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