What is the value of inductance $$L$$ for which the current is maximum in a series $$LCR$$ circuit with $$C = 10\,\mu F$$ and $$\omega = 1000{s^{ - 1}}$$ ?
A.
$$1\,mH$$
B.
cannot be calculated unless $$R$$ is known
C.
$$10\,mH$$
D.
$$100\,mH$$
Answer :
$$100\,mH$$
Solution :
Condition for which the current is maximum in a series $$LCR$$ circuit is,
$$\eqalign{
& \omega = \frac{1}{{\sqrt {LC} }} \cr
& 1000 = \frac{1}{{\sqrt {L\left( {10 \times {{10}^{ - 6}}} \right)} }} \cr
& \Rightarrow L = 100\,mH \cr} $$
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