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

At resonance $x_{L} = x_{C}$ $\Rightarrow$ $f_{0} = \frac{1}{2 π \sqrt{L C}} = \frac{1}{2 π \sqrt{2 \times 10^{- 3} \times 0.1 \times 10^{- 6}}} = 11.25 k H z$

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