Resonant Frequency of LC Circuit

166

05:14:08

f_lc = 1/(2*pi*sqrt(L*C))
1V AC jumps to 200V AC.

published 6 years ago

hurz

6 years ago

Its 33Hz ringing, cause the exact resonance is 33Hz lower then your generator. ~22877Hz so whats going up will also come down and after some ups and downs it will stop ringing at just a 1V peak @22.9kHz sinwave.

cannellajs2

6 years ago

@hurz I figured the waveform would fluctuate as it shifts in and out of phase with the AC source. But are you saying it will eventually die out completely and become just a 1V sin wave at t = infinity without ever resonating again?

hurz

6 years ago

Yes, it will die out over a long time here in simulation, put some energy wasting resistors and see how fast it comes to the generator wave and frequency

hurz

6 years ago

Here an example resistor value in series for a so called critical dampening scenario http://everycircuit.com/circuit/6671093992783872

fancycontrollers

6 years ago

Keep this up hurz

cannellajs2

6 years ago

@hurz Actually that’s wrong if you work out the math. Steady State Amplitude = abs(1/(1-(2*pi*f)^2*L*C))) = 495 V

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