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A resistance of 10 $Ω$ , a capacitance of 0.1 $μ$ F and an inductance of 2mH are connected in series across a source of alternating emf of variable frequency. At what frequency does maximum current flow ?

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11.25 kHz

23.76 kHz

35.46 kHz

46.72 kHz

answer is A.

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Detailed Solution

$\begin{aligned} ω = \frac{1}{\sqrt{L C}} \\ f = \frac{1}{2 π \sqrt{L C}} = \frac{1}{6.28 \times \sqrt{10^{- 7} \times 2 \times 10^{- 3}}} \\ = \frac{10^{5}}{6.28 \times 1.414} \\ = 11.25 kHz \end{aligned}$

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