Question

The reactance of capacitor is $350\Omega ,R=180\Omega .$. Find $X_L$ if in a series $LCR$ circuit current leads the voltage by ${53}^{\circ }$.

• A. $120\Omega$
• B. $140\Omega$
• C. $210\Omega$
• D. $110\Omega$

Answer 1

The correct option is D $110\Omega$

$\tan 53=\frac{X_C-X_L}{R}$
$\Rightarrow \frac{4}{3}=\frac{350-X_L}{180}$

or $X_L=110\Omega$