Question

The given AC RLC circuit is connected to an AC source of $110\text{V};50\text{Hz}$. The power factor of the circuit is -

• A. $0.56$
• B. $0.64$
• C. $0.80$
• D. $0.33$

Answer 1

The correct option is C $0.80$


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

$\Rightarrow Z=\sqrt{8^2+(31-25{)}^2}=10\Omega$

So, power factor,

$\cos \varphi =\frac{R}{Z}=\frac{8}{10}=0.80$

Hence, option $\left(C\right)$ is the correct answer.