Question
What is the resonant frequency of a 0.500 mH inductor connected to a 40 μF40 \textrm{ }\mu \textrm{F} capacitor?
Question by OpenStax is licensed under CC BY 4.0
Final Answer

1.13 kHz1.13 \textrm{ kHz}

Solution video

OpenStax College Physics, Chapter 23, Problem 95 (Problems & Exercises)

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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 10 to the minus 6 farads, which gives a frequency of 1.13 kilohertz.