Air Core Inductor Inductance Calculator

An Air Core Inductor Inductance Calculator is a tool used to calculate the inductance of an air core inductor, which is a coil of wire wound around a non-magnetic core (i.e., just air). The inductance of such an inductor is influenced by several factors, including the number of turns of wire, the coil's geometry, and the material properties of the core (though for air core inductors, the core is non-magnetic).

The inductance L (in henries) of an air core inductor can be calculated using the following formula:

Where:
L = Inductance (in henries, H)
μ0 = Permeability of free space, approximately 4π×10⁻⁷ H/m
N = Number of turns of the wire
A = Cross-sectional area of the coil (in square meters, m²)
l = Length of the coil (in meters, m)
For a solenoid (a common type of air core inductor), the formula simplifies to:

Where:
r = Radius of the coil (in meters, m)
Key factors influencing inductance:
Number of turns (N): More turns of wire will increase the inductance.
Coil's cross-sectional area (A or r²): A larger cross-sectional area increases the inductance.
Coil length (l): A longer coil reduces the inductance.
This calculator is useful for designing air core inductors for various applications, such as radio frequency circuits, transformers, and inductive sensors.