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 $



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