In a series LCR circuit, the phase difference between the voltage and the current is $45^\circ$. Then the power factor will be ______.

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In a series LCR circuit, the phase difference between the voltage and the current is $45^\circ$. Then the power factor will be 0.707. Explanation: Let, Inductance = L Conductance = C Resistance = R Frequency = f Phase Difference between current and voltage = phi As, in LCR circuit, Power Factor = cos phi Substitute the given values from, phi = 45^circ cos 45^circ = 1/sqrt(2) Therefore, Power factor = 0.707

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