Free LC Resonant Frequency Calculator

Calculate the resonant frequency of an LC circuit: f = 1 / (2 * pi * sqrt(L * C)).

mH
μF

Resonant Frequency

159.15 Hz

Angular Frequency1,000.00 rad/s

Resonant Frequency vs Inductance

LC Resonant Frequency

An LC circuit oscillates at a natural frequency determined by the inductance and capacitance.

Formula

f = 1 / (2*pi*sqrt(L*C))

At resonance, the inductive and capacitive reactances are equal and cancel, leaving only resistance to limit current.

Example Calculation

An LC circuit with L = 10 mH and C = 100 μF.

  1. 01f = 1 / (2*pi*sqrt(L*C))
  2. 02f = 1 / (2*pi*sqrt(10e-3 * 100e-6))
  3. 03f = 1 / (2*pi*sqrt(1e-6))
  4. 04f = 1 / (2*pi*0.001)
  5. 05f = 1 / 0.006283 = 159.15 Hz

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