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What is the resonant frequency of a 0.500 mH inductor connected to a $40 \textrm{ }\mu \textrm{F}$ capacitor?
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Final Answer

$1.13 \textrm{ kHz}$

Solution Video

OpenStax College Physics Solution, Chapter 23, Problem 95 (Problems & Exercises) (0:19)

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Video Transcript
This is College Physics Answers with Shaun Dychko.  Resonant frequency is 1 over 2 Pi times the square root of inductance times capacitance. That's 1 over 2 Pi times the square root of 0.500 times 10 to the minus 3 henrys times 40 times ten to the minus six farads, which gives a frequency of 1.13 kilohertz.