Alternating Current - Result Question 25
25. 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) $100 mH$
Show Answer
Answer:
Correct Answer: 25. (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} $
