Question

If in an AC circuit $X_L=X_C$ then the value of power factor will be

• A. $1$
• B. $0$
• C. $infinity$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $1$

Power factor $=\cos \left({\tan }^{-1}\left(\frac{X_L-X_C}{R}\right)\right)$

$=\cos \left({\tan }^{-1}\right(0\left)\right)=cos\left(0\right)=1$