Boneyard Tools

LC Resonant Frequency Calculator

Enter an inductor and capacitor value to find where an LC tank or series circuit rings, the point at which its inductive and capacitive reactances cancel. The calculator returns both the ordinary frequency in Hz, kHz or MHz and the angular frequency in radians per second. Pick your units directly, from henries down to picofarads, so you rarely need to convert by hand.

How to use the resonant frequency calculator

  1. Type the inductance value into the Inductance box.
  2. Choose its unit from the menu: H, mH or uH.
  3. Type the capacitance value into the Capacitance box.
  4. Choose its unit: F, uF, nF or pF.
  5. Read the resonant frequency and the angular frequency below, then Copy the pair if you need them.

Examples

1 mH inductor with a 100 nF capacitor

L = 1 mH, C = 100 nF
f = 15.9155 kHz, omega = 100000 rad/s

10 uH with 100 pF (radio range)

L = 10 uH, C = 100 pF
f = 5.0329 MHz, omega = 31622776.6017 rad/s

100 mH with 1 uF (audio range)

L = 100 mH, C = 1 uF
f = 503.2921 Hz, omega = 3162.2777 rad/s

Frequently asked questions

What is the LC resonant frequency formula?

The resonant frequency is f = 1 / (2 pi sqrt(L C)), with L in henries and C in farads. Enter 1 mH and 100 nF, which is 1e-3 H and 1e-7 F, and the result is 15.9155 kHz.

What happens at resonance?

At the resonant frequency the inductive reactance and the capacitive reactance are equal in size and cancel. A parallel LC tank shows peak impedance there, while a series LC circuit shows minimum impedance and passes the most current.

What is the angular frequency and why show it?

Angular frequency omega is 2 pi times the ordinary frequency, measured in radians per second, and it also equals 1 / sqrt(L C) directly. Engineers use it in reactance and phase equations, so both forms are returned for convenience.

Which units can I enter?

Inductance takes henries, millihenries or microhenries, and capacitance takes farads, microfarads, nanofarads or picofarads. The tool converts your choice to base SI units before applying the formula, so mixing scales is safe.

Does the formula work for both series and parallel LC?

Yes. The ideal resonant frequency is identical for series and parallel LC circuits; only the impedance behaviour at resonance differs. This calculator gives that shared ideal figure.

How do component values change the frequency?

Raising either the inductance or the capacitance lowers the frequency. Because of the square root, multiplying L or C by four halves the resonant frequency, and multiplying by nine cuts it to a third.

Does it account for resistance, Q or parasitics?

No. It models an ideal lossless LC pair, so it ignores winding resistance, capacitor leakage, stray capacitance and the loading of a real circuit. Those shift and broaden the peak slightly, so treat the result as the ideal center frequency.

How precise is the result?

The engine rounds the frequency and angular frequency to six decimal places, and the display shows up to four decimals in the chosen unit. That is far finer than the tolerance of typical inductors and capacitors, which are often 5 to 20 percent.

Is my data kept private?

Yes. The calculation runs entirely in your browser with no network request, so the values you type are never uploaded and the page works offline once loaded.

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