Alternating Current Ques 20
20. What is the value of inductance $L$ for which the current is maximum in a series $LCR$ circuit with $C=10 $ $\mu F$ and $\omega=1000$ $ s^{-1} \quad$ ?
[2007]
(a) $1 $ $mH$
(b) cannot be calculated unless $R$ is known
(c) $10$ $ mH$
(d) $100$ $ mH$
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Answer:
Correct Answer: 20.(d)
Solution:
- (d) Condition for which the current is maximum in a series LCR circuit is,
$ \begin{aligned} \omega & =\frac{1}{\sqrt{L C}} \Rightarrow 1000=\frac{1}{\sqrt{L(10 \times 10^{-6})}} \\ \Rightarrow \quad L & =100 mH \end{aligned} $
BETA
