Technology
Capacitive reactance
Find the magnitude of capacitive reactance at a sinusoidal frequency; increasing frequency or capacitance lowers the opposition to alternating current.
Calculators / Technology / LC resonant frequency
LC resonant frequency calculator
Find the natural resonant frequency of an ideal inductor-capacitor circuit where inductive and capacitive reactance magnitudes are equal.
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Resonant frequency159.15Hz
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How to calculate
Find the natural resonant frequency of an ideal inductor-capacitor circuit where inductive and capacitive reactance magnitudes are equal.
Resonant frequency = 1/(2*pi*sqrt(l/1000*c/1000000)) Hz
Worked example
Inductance (mH): 10; Capacitance (µF): 100.
Resonant frequency: 159.15 Hz.
Assumptions and limits
Find the natural resonant frequency of an ideal inductor-capacitor circuit where inductive and capacitive reactance magnitudes are equal. Ideal components without parasitic effects or losses. Reactance is a magnitude for sinusoidal AC. The RC cutoff assumes an unloaded first-order low-pass filter.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the natural resonant frequency of an ideal inductor-capacitor circuit where inductive and capacitive reactance magnitudes are equal.
When this tool is useful
Resonant frequency = 1/(2*pi*sqrt(l/1000*c/1000000)) Hz
Understanding your inputs
| Input | What to enter |
|---|---|
| Inductance (mH) | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Capacitance (µF) | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Find the natural resonant frequency of an ideal inductor-capacitor circuit where inductive and capacitive reactance magnitudes are equal. Ideal components without parasitic effects or losses. Reactance is a magnitude for sinusoidal AC. The RC cutoff assumes an unloaded first-order low-pass filter.
How is the result calculated?
Resonant frequency = 1/(2*pi*sqrt(l/1000*c/1000000)) Hz