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LC Resonant Frequency Calculator

Solve LC resonance for frequency, inductance or capacitance, plus the reactance at resonance.

About this tool

LC Resonant Frequency Calculator is a free, in-browser tool for tuned LC circuits. Pick which quantity to solve for — resonant frequency, inductance or capacitance — and it returns the missing value. All math runs locally in your browser.

The resonant frequency of an LC tank is f = 1 / (2π·√(L·C)). Rearranged, the inductance for a target frequency is L = 1 / ((2π·f)²·C) and the capacitance is C = 1 / ((2π·f)²·L). At resonance the inductive and capacitive reactances are equal, X = 2π·f·L = 1/(2π·f·C), which the tool also reports. Inductance accepts H/mH/µH, capacitance accepts pF/nF/µF and frequency accepts Hz/kHz/MHz through the unit selectors, and results are auto-scaled for readability.

Use it to design a radio tuner, oscillator tank, or filter: enter two of the three quantities and read off the third. The reactance tile helps you match the tank to the surrounding impedance.

Frequently asked questions

What is the LC resonance formula?
The resonant frequency is f = 1 / (2π·√(L·C)). Solving for the other quantities gives L = 1/((2π·f)²·C) and C = 1/((2π·f)²·L). Only the two values you are not solving for need to be entered.
What is the reactance shown at resonance?
At the resonant frequency the inductor and capacitor have equal and opposite reactance, X = 2π·f·L = 1/(2π·f·C). This is the characteristic impedance of the tank and is useful for matching it to the rest of the circuit.
Which two values do I enter?
Choose the quantity to solve for and its input hides automatically; enter the remaining two. For example, to find the frequency you supply L and C, and to find L you supply the target frequency and C.
Does this upload anything?
No. The calculation is done in your browser from the values you type, nothing is sent to a server, and the tool works offline.

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