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Solenoid Inductance Calculator

Find inductance of an air-core solenoid.

Inputs

Results

Inductance0.2513274mH

Chart

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How to use the solenoid inductance calculator

Find inductance of an air-core solenoid. Enter turns, cross-section area, length, core relative permeability in the fields above; the inductance is computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Inductance (mH) = ur × MU0 × N × N × A × 1e-4 / (L / 100) × 1000

Variables

  • N — Turns
  • A — Cross-section area (cm²)
  • L — Length (cm)
  • ur — Core relative permeability

Worked example

With turns = 200, cross-section area = 5 cm², length = 10 cm, core relative permeability = 1, the calculator gives inductance ≈ 0.2513274 mH.

Frequently asked questions

What is the formula for the solenoid inductance calculation?

Inductance (mH) = ur × MU0 × N × N × A × 1e-4 / (L / 100) × 1000. Here N is turns, A is cross-section area (cm²), L is length (cm), ur is core relative permeability.

What inputs do I need for the solenoid inductance calculator?

You need turns, cross-section area in cm², length in cm, core relative permeability. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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