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Question

Physics Question on LCR Circuit

A series LCR circuit resonates at 10 kHZ. If the capacitor is 0.01 μ\muF, the inductance used is approximately

A

10 mH

B

25 mH

C

50 mH

D

100 mH

Answer

25 mH

Explanation

Solution

f=12π1LC,104=12π×1L×108,L140H,L25mHf=\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