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Inductor Reactance & Susceptance Magnitude

Calculate ideal inductive-reactance magnitude and its reciprocal at a positive frequency.

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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

At angular frequency 2 rad/s, a 0.5 H inductor has reactance 1 Ω and reciprocal-reactance magnitude 1 S.

XL = 2πfL; reciprocal-reactance magnitude = 1/XL

Worked example

Enter these known values and leave the other values blank.

Inductance
500 mH
Ordinary frequency
0.3183098861837906715377675267450287240689192914809128974953346882 Hz
Inductive-reactance magnitude
1 Ω
Susceptance magnitude / absolute admittance
1 S

Assumptions and limitations

  • This is an ideal component model. Losses, tolerances, temperature dependence, parasitics and component ratings require separate information.
  • All quantities must be positive. DC and zero-reactance limits would make the reciprocal unbounded and are outside this finite-valued model.
  • The ideal inductor impedance is jXL and admittance is −j/XL. This tool returns positive magnitudes, not conductance or the signed imaginary part.
  • The inductance input starts in millihenries; 500 mH equals 0.5 H.

Common questions

Does 1/XL represent a dissipative conductance?

No. For an ideal inductor it is the magnitude of imaginary admittance. The ideal component stores and returns energy rather than dissipating it.

What happens when frequency doubles?

At fixed inductance, reactance doubles and its reciprocal magnitude halves.

References

Bookify requires positive frequency, reactance and reciprocal-reactance magnitude for this finite ideal AC model.

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