A resistor and a capacitor are connected in series with an alternating current source. The potential difference across resistor and capacitor are 90 V and 120 V respectively and rms value of current is 3 A. What is the power factor of the circuit?

0.6

The correct answer is Option (1) → 0.6

The power factor is,

$\cos\phi=\frac{V_R}{V_{total}}=\frac{V_R}{\sqrt{V_R^2+V_C^2}}$

$=\frac{90}{\sqrt{90^2+120^2}}=\frac{90}{150}$

$=0.6$