At what frequency does the maximum current flow through a series RLC circuit containing a resistance of 4.45 Ω?
At what frequency does the maximum current flow through a series RLC circuit containing a resistance of 4.45 Ω, an inductance of 430 mH, and a capacitance of 516 pF?
answer in kHz
please answer this question...i got it wrong...can someone give me the correct answer it would be greatly appreciated..10pts best answer thank you :)
Answers & Comments
Verified answer
The maximum current occurs at the resonant frequency ωo = sqrt(1/LC)
= sqrt(1/(430x10^-3H*516x10^-12F) = 67133 rad/s
converting to Hz we have f = ωo/2π = 67133/2π = 10684Hz = 10.7 kHz
Set the inductive reactance equal to the capacitive reactance and solve for f. 2πfL = 1/(2πfC) 2πfL(2πfC) = 1 4π²f²LC = 1 f² = 1/(4π²LC) f = 1/[(2π)*√(LC)] You can plug in the numbers. An RLC circuit gives maximum current flow when it is at resonance or the inductive reactance cancels out the capacitive reactance, meaning the two are equal.