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Inductance 4 uses Updated August 10, 2026

Air Core Coil Inductance Calculator

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Coil Diameter
inches
Coil Length
inches
Number of turns

This air core inductance calculator finds the inductance of a single-layer air-core coil from its diameter, length, and number of turns, using Wheeler’s formula. Enter the values above.

Formula (Wheeler, inches)

L (µH) = d² × N² ÷ (18d + 40l)
  • d — coil diameter, l — coil length (inches), N — turns

Example

d = 1 in, l = 2 in, N = 20: L = 1 × 400 ÷ (18 + 80) = 4.08 µH.

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Frequently Asked Questions

How do I calculate air core coil inductance?

Use Wheeler’s formula: L in microhenries equals d squared times N squared, divided by 18d plus 40l, with dimensions in inches.

What is Wheeler’s formula?

A well-known approximation for single-layer air-core coils, accurate to about 1% for typical coil shapes.

How do I increase coil inductance?

Add turns, use a larger diameter, or wind the coil shorter and tighter.

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