Solenoid Inductance Calculator

Free Solenoid Inductance Calculator — estimate the inductance of an air- or ferromagnetic-core solenoid.

855.0K uses Updated · 2026-05-11 Runs locally · zero upload
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The Solenoid Inductance Calculator estimates the self-inductance of a tightly wound solenoid using the long-coil approximation L = μ₀μr·N²·A / l.

How to Use Solenoid Inductance Calculator

  1. Enter the number of turns N — full winding count.
  2. Enter the coil length l — the axial length of the winding (not the wire length).
  3. Enter the radius r or diameter d — pick whichever is easier to measure.
  4. Enter μr — 1 for air, much higher for ferrite or iron cores.
  5. Read L — automatically scaled to nH, μH, mH or H.

Formula & Theory — Solenoid Inductance Calculator

A = π · r²
L = μ₀ · μr · N² · A / l
μ₀ = 4π × 10⁻⁷  H/m

Use Cases for Solenoid Inductance Calculator

  • Filter & matching networks — pick inductor count for a desired L.
  • Power electronics — size choke and transformer primaries.
  • Sensors — design search coils and inductive proximity sensors.
  • Education — explore how geometry, turns and core material shape inductance.

Frequently asked questions about Solenoid Inductance Calculator

When does the long-solenoid approximation fail?

It under-predicts when the coil length is comparable to the diameter. Short coils or pancake windings need Wheeler/Nagaoka corrections.

What about iron-core inductors?

Use the effective μr from the core datasheet, and remember that real cores saturate at high currents.

Does temperature affect inductance?

Air-core inductors are very stable. Ferrite-core inductors drift with temperature because μr depends on temperature.

Is my data stored?

No. All calculations run locally in your browser; nothing is sent to any server.