What is the value of inductance L for which the current is maximum in a series LCR circuit with C = 10 μ F and ω = 1000 s ⁻¹? (a) 1 mH (b) cannot be calculated unless R is known (c) 10 mH (d) 100 mH

Answer: (d). Current is maximum at resonance: ω² = 1/LC L = (1)/(ω² C) = 1(10³)² (10×10⁻⁶) = 0.1 H So the answer is (d) 100 mH.

What is the value of inductance L for which the current is maximum in… | NEET 2007 (AIPMT)

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Resonance, Bandwidth & Q Factor

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 ${}^{-1}$ ?

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Answer: (d)

Current is maximum at resonance: $\omega^2 = \dfrac{1}{LC}$
$L = \dfrac{1}{\omega^2 C} = \dfrac{1}{(10^3)^2 (10\times10^{-6})} = 0.1\text{ H}$
So the answer is (d) 100 mH.