Q. An inductance of $1\ mH$ a condenser of $10\ \mu F$ and a resistance of $50\ \Omega$ are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be
A) 100 $\Omega$
B) 30 $\Omega$
C) 3.2 $\Omega$
D) 10 $\Omega$
Explanation
(d) Given $\omega L = \frac{1}{\omega C} \Rightarrow \omega^{2} = \frac{1}{LC}$
Or $\omega = \frac{1}{\sqrt{10^{- 3} \times 10 \times 10^{- 6}}} = \frac{1}{\sqrt{10^{- 8}}} = 10^{4}$
$X_{L} = \omega L = 10^{4} \times 10^{- 3} = 10\ \Omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.