LC Filter Calculator

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All four types share the same resonant-frequency formula: fc = 1 / (2pi * sqrt(L*C)).
Select the unknown you want to calculate; enter the other two values.
The inductance of the coil. Select the unit below.
The capacitance of the capacitor. Select the unit below.
Used to compute bandwidth for band-pass and band-stop filters. Q = fc / BW.
Cutoff / resonant frequencyAudio range (20 Hz - 20 kHz)
5.0329 kHz

The frequency at which the filter transitions between pass and stop bands

Frequency (Hz)5,032.9212Hz
Inductance (L)10.000 mH
Capacitance (C)100.00 nF
Characteristic impedance (Z0)316.228 ohm
Angular frequency (omega)3.1623e+4 rad/srad/s
5,032.9212 Hz
Sub-audio<20Audio20-20000RF20000-1000000VHF/UHF/GHz1000000+

Low-pass filter resonant frequency: 5.0329 kHz.

  • The low-pass filter resonates at 5.0329 kHz, meaning signals at this frequency see equal inductive and capacitive reactance.
  • The characteristic impedance Z0 = sqrt(L/C) = 316.228 ohm. Match your source and load impedance to this value to minimize reflections.
  • In this calculation the frequency was calculated from L and C.

Next stepFor a sharper rolloff, cascade two LC stages (4th-order Butterworth) -- each stage uses the same cutoff frequency, doubling the rolloff to -40 dB/decade.

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