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An $R L C$ circuit has a resonance frequency of 1.9 $\mathrm{kHz}$ . If the inductance is 0.13 $\mathrm{mH}$ , what is the capacitance?

54$\mu \mathrm{F}$

Physics 102 Electricity and Magnetism

Chapter 24

Alternating-Current Circuits

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Alternating Current

Cornell University

University of Michigan - Ann Arbor

University of Washington

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So this question. We have to remember that to pi times, the resonant frequency is it close to one divided by the square root often do 10 times the capacitance. Then we can solve this expression for the capacitance to get the falling relation to pie times. The frequency squared equals to one divided by yellow time. See, then capacitance is he goes to to pi times the frequency squared times the reluctance divided by one plugging the values. Living in a problem, we get that the capacitance and equals to one divide it by two pi times 1.9 times dead to the turned squared times zero point starting times 10 to the minus tree. Uh, like that and the easiest approximately 54 me grow for its

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