An oscillator circuit consists of an inductan | vedclass

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Question

(C) The resonant frequency of an $LC$ circuit is given by the formula: $
u_0 = \frac{1}{2\pi\sqrt{LC}}$.Given: $L = 0.5 \ mH = 0.5 	imes 10^{-3} \ H

Vedclass · Accepted Answer

$1592$

Vedclass · Answer

(C) The resonant frequency of an $LC$ circuit is given by the formula: $
u_0 = \frac{1}{2\pi\sqrt{LC}}$.Given: $L = 0.5 \ mH = 0.5 	imes 10^{-3} \ H = 5 	imes 10^{-4} \ H$ and $C = 20 \ \mu F = 20 	imes 10^{-6} \ F$.Substituting the values into the formula:$
u_0 = \frac{1}{2 	imes 3.14 	imes \sqrt{5 	imes 10^{-4} 	imes 20 	imes 10^{-6}}}$$
u_0 = \frac{1}{6.28 	imes \sqrt{100 	imes 10^{-10}}}$$
u_0 = \frac{1}{6.28 	imes \sqrt{10^{-8}}}$$
u_0 = \frac{1}{6.28 	imes 10^{-4}}$$
u_0 = \frac{10000}{6.28} \approx 1592 \ Hz$.

An oscillator circuit consists of an inductance of $0.5 \ mH$ and a capacitor of $20 \ \mu F$. The resonant frequency of the circuit is nearly......$Hz$

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