Consider an LC circuit with L = 13 mH and C = 2352 pF. At what...
Consider an LC circuit with L = 13 mH and C = 2352 pF. At what frequency is the reactance of the inductor equal to the reactance of the capacitor?
=_____Hz
What is the resonant frequency of the circuit?
=_____Hz
Homework Answers
reactance of inductor XL = 2pifL
reacatnce of capacitor Xc = 1/(2pifC)
so XL = Xc
2pifL = 1/2pifC
f^2 = 1/(4pi^2 LC)
f = 1/(2pi sqrt(LC)
f = 1/(2*3.14*(sqrt(0.013* 0.002352)
f = 28.79 KHz
-------------------------------------------
resonant frequency f = 28.79 KHz
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