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Inductance 6 uses Updated August 10, 2026

Gapped Core Inductance Calculator

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Core length
mm
Gap area
mm
Gap length
mm
Relative permeability
μr
Number of turns

This gapped core inductance calculator finds the inductance of a gapped ferrite core from the turns, effective core area, and air-gap length. The gap dominates, so it sets the inductance. Enter the values above.

Formula (gap-dominated)

L ≈ μ₀ × N² × Ae ÷ lg
  • N — turns, Ae — effective core area, lg — total air-gap length

Example

N = 50, Ae = 100 mm², lg = 1 mm: L ≈ 314 µH.

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Frequently Asked Questions

How do I calculate gapped core inductance?

Use L = mu0 times turns squared times core area divided by the air-gap length, since the gap dominates the reluctance.

Why add an air gap to a core?

The gap stores energy and raises the saturation current, so the inductor handles more DC before saturating.

Does the gap lower inductance?

Yes. A larger gap reduces inductance but improves energy storage and linearity.

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