CUET Preparation Today
What is the power factor of an ac circuit having resistance R and Inductance L connected in series? (ω is the angular frequency) |
$(ωL)R^{-1}$ $R(ωL)^{-1}$ $R/(R^2-ω^2L^2)^{-\frac{1}{2}}$ $R/(R^2+ω^2L^2)^{-\frac{1}{2}}$ |
$R/(R^2+ω^2L^2)^{-\frac{1}{2}}$ |
Power Factor is $cos\phi = \frac{R}{Z} = \frac{R}{\sqrt{R^2+\omega^2L^2}}$ The correct answer is Option (4) → $R(R^2+ω^2L^2)^{-\frac{1}{2}}$ |
