For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $25 \mathrm{nF}$. If resistance of $200 \Omega$ and $100 \mathrm{mH}$ inductor is being used in the given circuit. The frequency of ac source is ______ $ imes 10^3 \mathrm{~Hz}$. (given…

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For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $25 \mathrm{nF}$. If resistance of $200 \Omega$ and $100 \mathrm{mH}$ inductor is being used in the given circuit. The frequency of ac source is ______ $	imes 10^3 \mathrm{~Hz}$. (given $\pi^2=10$ )

Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{f}_0=\frac{1}{2 \pi \sqrt{\mathrm{L} 	imes \mathrm{C}}} \ & \mathrm{f}_0=\frac{1}{2 \pi \sqrt{100 	imes 10^{-3} 	imes 25 	imes 10^{-9}}} \ & =\frac{1}{2 \pi \sqrt{25 	imes 10^{-10}}} \ & =\frac{1}{2 \pi 	imes 5} 	imes 10^5 	imes \sqrt{10} \mathrm{~Hz} \ & =\frac{100}{10} 	imes 10^3 \mathrm{~Hz} \ & \mathrm{f}_0=10 	imes 10^3 \mathrm{~Hz}\end{aligned}$

For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance…

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