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LC Resonant Frequency Calculator

Calculate the ideal oscillation frequency and period of an LC circuit from inductance and capacitance.

Enter your values

mH
Required unit: mH. Must be greater than zero.
µF
Required unit: µF. Must be greater than zero.

Use a decimal point, without thousands separators.

Example result
Resonant frequency
1,591.54943092 Hz
Oscillation period0.00062832 s
Angular frequency10,000 rad/s

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

The form converts millihenries to henries and microfarads to farads before evaluating the equation. For L = 10 mH and C = 1 µF, frequency is about 1,591.54943092 Hz. This is an ideal lossless LC model; resistance, parasitic components and frequency-dependent values can change a real circuit’s response.

Inputs and units
LC Resonant Frequency Calculator · Inputs and units
InputExample valueWhat to enter
Inductance10 mHRequired unit: mH. Must be greater than zero.
Capacitance1 µFRequired unit: µF. Must be greater than zero.
ω = 1/√(LC); f = ω/(2π); period = 1/f; L in H, C in F

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Inductance
10 mH
Capacitance
1 µF

Complete example results

Resonant frequency
1,591.54943092 Hz
Oscillation period
0.00062832 s
Angular frequency
10,000 rad/s

Reading the result

Check the units used in the formula together. The result follows the stated ideal model and supplied constants; material, environment and losses are included only where the inputs or method explicitly define them.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Is angular frequency the same number as frequency in hertz?

No. Angular frequency is 2π times frequency and is expressed in radians per second. The period is the time for one complete oscillation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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