A LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R = 80\, , an inductance with inductive reactance X_L = 20.0\, and capacitance with capacitive reactance X_C = 80.0\, . The power

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Quantrex Academy · Accepted Answer

Correct answer: A. 0.8

The impedance of the LCR series circuit is given by

Z = \sqrt{R^2 + (X_C - X_L)^2}

.

Substituting the given values:

Z = \sqrt{80^2 + (80 - 20)^2}

Z = \sqrt{80^2 + 60^2}

Z = \sqrt{6400 + 3600} = \sqrt{10000} = 100\,\Omega

The power factor of the circuit is given by

\cos \phi = \dfrac{R}{Z}

.

\cos \phi = \dfrac{80}{100} = 0.8

Answer:

0.8

A LCR series circuit driven with E_ rms = 90 V at frequency f_d =...

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