A charged 30 mutext{F} capacitor is connected | vedclass

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(B) The angular frequency $\omega$ of free oscillations in an $LC$ circuit is given by the formula $\omega = \frac{1}{\sqrt{LC}}$.Given values are $L

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$1100$

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(B) The angular frequency $\omega$ of free oscillations in an $LC$ circuit is given by the formula $\omega = \frac{1}{\sqrt{LC}}$.Given values are $L = 27 	ext{ mH} = 27 	imes 10^{-3} 	ext{ H}$ and $C = 30 \mu	ext{F} = 30 	imes 10^{-6} 	ext{ F}$.Substituting these values into the formula:$\omega = \frac{1}{\sqrt{27 	imes 10^{-3} 	imes 30 	imes 10^{-6}}}$$\omega = \frac{1}{\sqrt{810 	imes 10^{-9}}}$$\omega = \frac{1}{\sqrt{81 	imes 10^{-8}}}$$\omega = \frac{1}{9 	imes 10^{-4}}$$\omega = \frac{10^4}{9} \approx 1111.11 	ext{ rad/s}$.The closest option is $1100 	ext{ rad/s}$.

$A$ charged $30 \mu\text{F}$ capacitor is connected to a $27 \text{ mH}$ inductor. What is the angular frequency of free oscillations of the circuit (in $\text{ rad/s}$)?

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