Solenoid Inductance Calculator

Solenoid inductance calculator is an easy-to-use online tool to quickly determine the self-inductance of a solenoid. A solenoid is a long, tightly wound coil.

To calculate the inductance (L) the folloing equation is used:

L = µ0 × N² × A / l

where:

µ0 – Vacuum permeability 1,25663706127·10-6 H·m-1
N – Number of turns
A – Cross-sectional area of the solenoid
l – Solenoid's length

If you know the diameter (D) of the solenoid its cross-sectional area (A) will be calculated as:

A = π / 4 × D²

Designing or debugging electronic circuits? We offer Digital Multimeters and Clamp Meters for accurate measurements.


Frequently Asked Questions

How does adding a ferrite core alter the solenoid inductance calculation matrix?

Introducing a ferromagnetic core multiplies the baseline air-core inductance by the material's relative permeability (µr), modifying the active equation to L = µ0 × µr × N² × A / l. For commercial high-frequency ferrites, µr can range from 20 to over 5,000, causing a massive surge in inductance within the same physical footprint. However, a ferrite core introduces core losses, non-linearities, and magnetic saturation constraints.

What is the difference between a standard solenoid and a toroid inductor calculation?

A solenoid is a straight, open-ended tube layout where the magnetic field lines must travel outside the cylinder through the air to loop back, creating flux leakage. A toroid is a continuous donut-shaped ring where the magnetic field is completely trapped inside the circular core structure. Consequently, toroid calculations do not require Wheeler's short-coil correction factors, resulting in much higher self-containment and minimal electromagnetic interference (EMI).

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