At what angular frequency omega does the foll | vedclass

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(A) For an $LCR$ series circuit,the power consumed is maximum at the resonant angular frequency $\omega_0$.The formula for resonant angular frequency

Vedclass · Accepted Answer

$12.5$

Vedclass · Answer

(A) For an $LCR$ series circuit,the power consumed is maximum at the resonant angular frequency $\omega_0$.The formula for resonant angular frequency is $\omega_0 = \frac{1}{\sqrt{LC}}$.Given values are $L = 160 \, H$ and $C = 40 \, \mu F = 40 	imes 10^{-6} \, F$.Substituting these values into the formula:$\omega_0 = \frac{1}{\sqrt{160 	imes 40 	imes 10^{-6}}}$$\omega_0 = \frac{1}{\sqrt{6400 	imes 10^{-6}}}$$\omega_0 = \frac{1}{80 	imes 10^{-3}}$$\omega_0 = \frac{1000}{80} = 12.5 \, rad/s$.Therefore,the circuit consumes maximum power at an angular frequency of $12.5 \, rad/s$.

At what angular frequency $\omega$ does the following circuit consume maximum power? (in $rad/s$)

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