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) $100 mH$

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Answer:

Correct Answer: 25. (d)

Solution:

  1. (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} $