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inductance

Inductance of an Air Core Coil

Calculate the inductance of a single-layer air core coil using Wheeler's formula.

An air core coil's ability to store magnetic energy when an electric current flows through it is indicated by its inductance. Air core coils get their magnetic characteristics only from the surrounding air, unlike coils containing ferromagnetic cores.

The number of turns in the coil, its physical dimensions, and the surrounding material are some of the elements that affect inductance. Designing and analyzing circuits where inductive components are essential requires a grasp of an air core coil's inductance. Circuit behavior is influenced by inductance, particularly in situations involving alternating current (AC), resonance, filtering, and energy storage.

Applications

  • RF Circuits and Antennas
  • Inductive Coupling and Transformers
  • Inductive Sensors and Detectors
  • Power Electronics

About This Calculator

This online electrical calculator helps you determine the inductance of an air core inductor coil. Simply enter the coil's diameter, length, and number of turns to get the desired result. With the parameters given, you can rapidly ascertain the inductance value.

Formula

L=d2×n218d+40lL = \frac{d^2 \times n^2}{18d + 40l}

where:

  • LL = Inductance (μH)
  • dd = Coil Diameter (in)
  • ll = Coil Length (in)
  • nn = Number of Turns

Related Tools

Inputs

Coil diameter in inches

Coil length in inches

Number of turns in the coil

Results

Coil diameter must be greater than zero
InductanceµHInductance of the air core coil in microhenries