Resonant Frequency Calculator (LC and RLC)

Your details

Pick the unknown. Enter the other two values and the calculator finds it.
Inductance of the coil. Pick the matching unit (1 mH = 0.001 H).
Capacitance of the capacitor. Pick the matching unit (1 pF = 1e-12 F).
Resonant frequency
339,319.4788Hz

f = 1 / (2π√LC)

Frequency (readable)339.3195 kHz
Angular frequency (ω₀)2,132,007.16rad/s
Reactance at resonance (X_L = X_C)2,132.007Ω

This circuit resonates at 339.319 kHz.

  • At resonance the inductive reactance (2πfL) and capacitive reactance (1/2πfC) are equal and cancel.
  • Frequency falls as either L or C rises: quadrupling either one halves the resonant frequency.
  • This is the ideal LC value. Add a resistance above to see the Q factor, bandwidth and impedance.

Next stepToggle on resistance to get Q, bandwidth and impedance, or switch the "Solve for" mode to size a component.

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