Air Core Inductor Coil Inductance Calculator

Air Core Inductor Coil Inductance Calculator calculator can be used to calculate the inductance of an air-core inductor coil based on its physical dimensions and number of turns.

Input Parameters

Calculation Results

Calculation Formula

L = (μ₀μᵣN²A)/l

Where:
L = Inductance (H)
μ₀ = Permeability of free space (4π × 10⁻⁷ H/m)
μᵣ = Relative permeability of core material
N = Number of turns
A = Cross-sectional area of coil (πr²)
l = Length of coil (m)

Air Core Inductor Coil Inductance Calculator Usage Guide

Learn how to use the Air Core Inductor Coil Inductance Calculator and its working principles

How to Use This Calculator

  1. Enter the number of turns in your inductor coil (N)
  2. Input the diameter of your coil in centimeters
  3. Specify the length of your coil in centimeters
  4. Select the core material (default is air)
  5. Set the target frequency for your application
  6. Click the "Calculate" button to compute the inductance

Understanding the Results

The calculator provides two important results:

  • Inductance (H): The calculated inductance value in henries
  • Resonant Frequency (Hz): The resonant frequency when this inductor is used with a capacitor of the same value

Applications

Air core inductors are commonly used in RF circuits, wireless power transfer, and other applications where a non-magnetic core is preferred. They have higher losses at higher frequencies compared to ferrite or iron core inductors.

Formulas Used

The calculator uses the following formula to calculate inductance:

L = (μ₀μᵣN²A)/l

Where:

  • L = Inductance in henries (H)
  • μ₀ = Permeability of free space (4π × 10⁻⁷ H/m)
  • μᵣ = Relative permeability of the core material (1 for air)
  • N = Number of turns in the coil
  • A = Cross-sectional area of the coil in square meters (m²)
  • l = Length of the coil in meters (m)