If L = 1.00 , mH and C = 1.00 , nF,find the r | vedclass

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(A) The resonant frequency $\omega_0$ of an $LC$ circuit is given by the formula:$\omega_0 = \frac{1}{\sqrt{LC}}$Given values:$L = 1.00 \, mH = 1.00 \

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$1.00 	imes 10^6 \, rad/s$

Vedclass · Answer

(A) The resonant frequency $\omega_0$ of an $LC$ circuit is given by the formula:$\omega_0 = \frac{1}{\sqrt{LC}}$Given values:$L = 1.00 \, mH = 1.00 	imes 10^{-3} \, H$$C = 1.00 \, nF = 1.00 	imes 10^{-9} \, F$Substituting these values into the formula:$\omega_0 = \frac{1}{\sqrt{(1.00 	imes 10^{-3}) 	imes (1.00 	imes 10^{-9})}}$$\omega_0 = \frac{1}{\sqrt{1.00 	imes 10^{-12}}}$$\omega_0 = \frac{1}{1.00 	imes 10^{-6}}$$\omega_0 = 1.00 	imes 10^6 \, rad/s$

If $L = 1.00 \, mH$ and $C = 1.00 \, nF$,find the resonant frequency in $rad/s$.

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