For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency

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$2500 rad - s^{- 1} and \frac{5}{\sqrt{2}} A$

$2500 rad - s^{- 1} and 5 \sqrt{2} A$

$25 rad - s^{- 1} and 5 \sqrt{2} A$

$2500 rad - s^{- 1} and 5 A$

answer is B.

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Detailed Solution

Resonance frequency
$ω = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{8 \times 10^{- 3} \times 20 \times 10^{- 6}}} = 2500 rad / \sec$
Resonance current = $\frac{V}{R} = \frac{220}{44} = 5 A$

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