Electro Magnetic Induction And Alternating Currents Question 15
Question: An inductance of 1 mH a condenser of 10 mF and a resistance of 50 W are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be
Options:
A) 100 W
B) 30 W
C) 3.2 W
D) 10 W
Show Answer
Answer:
Correct Answer: D
Solution:
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 $
