The power factor of the following circuit will be

Question

The power factor of the following circuit will be <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-soqt6zpgecib.png" /> (A) 0.2 (B) 0.4 (C) 0.6 (D) 0.8

Tardigrade Admin · Accepted Answer

Z=√R2 + ( XL - Xc â¡) 2 ⇒ Z=√( r 40 + 40 2 + ( 100 - 40 2=100Ω ⇒ cos φ=(R/Z)=(80/100)=0.8

Q. The power factor of the following circuit will be

$0.2$

$0.4$

$0.6$

$0.8$

$Z = R^{2} + (X_{L} - X_{c})^{2}$
$\Rightarrow Z = (r 40 + 4 0^{2} + (100 - 4 0^{2} = 100Ω$
$\Rightarrow cos ϕ = \frac{R}{Z} = \frac{80}{100} = 0.8$