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  4. A series LCR circuit resonates at 10 kHZ. If the capacitor is 0.01 μF, the inductance used is approximately

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Q. A series LCR circuit resonates at 10 kHZ. If the capacitor is 0.01 $\mu$F, the inductance used is approximately

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Solution:

$f=\frac{1}{2\pi}\frac{1}{\sqrt{LC}}, 10^{4} =\frac{1}{2\pi}\times\frac{1}{\sqrt{L\times10^{-8}}}, L\approx\frac{1}{40}H, L\approx25 mH$