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LC resonant frequency calculator

Compute the resonant frequency of an LC circuit from inductance and capacitance.

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Need Resonant frequency (Hz)? The LC resonant frequency calculator derives it from Inductance (mH), Capacitance (µF) in one step. For instance, with Inductance (mH) = 10 and Capacitance (µF) = 100 it returns Resonant frequency (Hz) = 159.155.

How to use it

  1. Enter your values: Inductance (mH), Capacitance (µF).
  2. Read the result instantly: Resonant frequency (Hz).

Frequently asked questions

How does the LC resonant frequency calculator work?

It takes Inductance (mH) and Capacitance (µF) and derives Resonant frequency (Hz) from them. The calculation is live as you type, so the result updates on every change.

Which values does the calculator ask for?

2 values: Inductance (mH) and Capacitance (µF). Nothing else is required — no account, no file upload.

What does a typical calculation look like?

With Inductance (mH) = 10 and Capacitance (µF) = 100, the calculator returns Resonant frequency (Hz) = 159.155. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

How much does the result change with different inputs?

It moves a lot. Using Inductance (mH) = 20 and Capacitance (µF) = 200 instead, Resonant frequency (Hz) goes from 159.155 to 79.578 — which is why it is worth testing a few scenarios rather than trusting a single figure.

What does it give for smaller values?

Scaled down to Inductance (mH) = 5 and Capacitance (µF) = 50, Resonant frequency (Hz) comes out at 318.31. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Checking a homework answer, sizing something before building it, and getting an order of magnitude before committing to a design — a torque on a bolt, the force a spring returns, the frequency a circuit resonates at, how long light takes to arrive.

What is the most common mistake?

Feeding in a value in the wrong unit. Physics formulas assume SI throughout, so grams instead of kilograms or centimetres instead of metres shifts the answer by powers of ten without any warning.

What is the difference between the LC resonant frequency calculator and the Frequency & period calculator?

This one returns Resonant frequency (Hz); the Frequency & period calculator returns Period (s) and Period (ms). That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Musical note frequency calculator is the closest one after this: Compute a note's frequency a number of semitones from a reference pitch (A4).

Where do the figures come from, and how current are they?

Constants are the CODATA values and the formulas are the textbook ones. Most assume an idealised case — no air resistance, no friction, a point mass — and the tool says so where the simplification matters.

Further reading

All guides →
ExplainerDoubling the Capacitor Lowers the Frequency by 29 %, Not 50 %10 mH with 100 µF resonates at 159.2 Hz. Double the capacitance and it falls to 112.5 Hz; to halve the frequency you have to quadruple a component, because both sit under a square root.ExplainerOne Time Constant Is 63 % of the Way, Not the End1,000 Ω with 100 µF gives a time constant of 0.1 s. The capacitor is 63 % charged at that point, 95 % after three constants and 99.3 % after five — the last of which is the number that matters.ExplainerSound Travels Faster in Steel Because of Stiffness, Not Density343 m/s in air at 20 °C, 1,481 in water, 5,960 in steel and 12,000 in diamond. Steel is 6,500 times denser than air and carries sound only 17 times faster — density slows sound down.ExplainerThe Pendulum That Beats Seconds Is Not One Metre LongA one-metre pendulum swings in 2.0061 seconds, not 2. Getting to exactly two takes 0.994 m — and quadrupling the length only doubles the period.ExplainerEvery Major Third on a Piano Is Fourteen Cents SharpThree semitones above A4 is 440 × 2^(3/12) = 523.25 Hz. The twelfth root of two makes every interval slightly wrong except the octave, and that compromise is what lets a keyboard play in any key.ExplainerSixty Thousand Divided by the Tempo, and Everything Else Is a FractionAt 120 BPM a quarter note lasts 500 ms, an eighth 250 and a dotted eighth 375. One division produces the whole table, and the dotted eighth is the one that changed how delay pedals are used.