Question

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

Final Answer

$1.13 \textrm{ kHz}$

### Solution video

# OpenStax College Physics for AP® Courses, 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.