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LC Resonance Frequency and Reactance

Calculate lc resonance frequency and reactance with local equations, selectable units and supported inverse relationships.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

frequency resonant = 0.50329212; XC reactance = 316.22777; XL reactance = 316.22777. Values use the worked example unit selections.

f0 = 1/(2π√LC); ω0 = 2πf0; XL = ω0L; XC = 1/(ω0C)

Worked example

Enter these known values and leave the other values blank.

Capacitance (C)
1000 pF
Inductance (L)
100 μH
Resonant frequency (f)
0.50329 MHz
Angular frequency (ω)
3162278 rad/s
Capacitive reactance (xC)
316.23 Ω
Inductive reactance (xL)
316.23 Ω

Assumptions and limitations

  • Ideal positive inductance and capacitance are assumed. At resonance the two reactance magnitudes are equal. Resistance, component tolerances and parasitic effects change practical behavior.
  • Unit selectors convert known physical quantities. Leave a supported unknown blank; derived inverse branches are limited by the stated model and available captured equations.

Common questions

What does this calculation assume?

Ideal positive inductance and capacitance are assumed. At resonance the two reactance magnitudes are equal. Resistance, component tolerances and parasitic effects change practical behavior.

Can I solve for an input?

Where the captured model supplies an inverse, leave that quantity blank and enter the remaining known quantities. A positive square-root or principal trigonometric inverse may represent only one of multiple mathematical branches.

Which unit should I use for the worked example?

The example uses the initial metric unit selection beside each field. Change a unit using its selector to convert the same known quantity; switching a unit does not change the underlying physical value.

References

Original accessible explanations preserve the captured diagram geometry, quantities and conditional variants without external image loading. Restrict the physical model to non-singular dimensions and stated principal inverse branches; discrete gear/fringe counts are exact integers.

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