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# Resonance frequency and amplitude

15508164808107032308045459934196.jpg Question 16 sir

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

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Resonance frequency of series LCR circuit $w = \sqrt{\frac{1}{LC}}$

putting values we will get $w = 2500 rad/s$

At resonance condition, $V_{L} = -V_{C}$

$\Rightarrow V_{supply} = V_{R}+V_{L}+V_{C}$

$\Rightarrow V_{supply} = V_{R}$ (because ï¿¼ cancel out each other)

$I = V_{R}/R = V_{Supply}/R$

$\Rightarrow I = 5.5A$

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