In the given circuit, the resonant frequency | vedclass

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(C) Given, $L = 0.5 \, mH = 0.5 	imes 10^{-3} \, H$ and $C = 20 \, \mu F = 20 	imes 10^{-6} \, F$. The resonant frequency of an $L-C$ circuit is giv

Vedclass · Accepted Answer

$1592$

Vedclass · Answer

(C) Given, $L = 0.5 \, mH = 0.5 	imes 10^{-3} \, H$ and $C = 20 \, \mu F = 20 	imes 10^{-6} \, F$. The resonant frequency of an $L-C$ circuit is given by the formula: $f = \frac{1}{2 \pi \sqrt{L C}}$ Substituting the values: $f = \frac{1}{2 \pi \sqrt{0.5 	imes 10^{-3} 	imes 20 	imes 10^{-6}}}$ $f = \frac{1}{2 \pi \sqrt{10 	imes 10^{-9}}} = \frac{1}{2 \pi \sqrt{10^{-8}}}$ $f = \frac{1}{2 \pi 	imes 10^{-4}} = \frac{10^4}{2 \pi} \approx \frac{10000}{6.283} \approx 1592.3 \, Hz$ Thus, the resonant frequency is approximately $1592 \, Hz$.

In the given circuit, the resonant frequency is (in $ Hz$)

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