Calculate the inductance of a solenoid based on its physical properties.
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About this calculator
Quick Reference
NTotal number of turns
ACross-sectional area (πr²)
lLength of the solenoid
μ04π × 10^-7 H/m
Overview
Inductance is the property of an electrical conductor by which a change in current through it induces an electromotive force in both the conductor itself and any nearby conductors.
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Pro Tips
μ0 (vacuum permeability) is approximately 1.2566 x 10^-6 H/m.
The formula L = (μ0 * μr * N^2 * A) / l assumes a long solenoid (l >> r).
Core materials like iron have a high relative permeability (μr), which significantly increases inductance.
A is the cross-sectional area of the core (π * r^2).
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Fun Facts
"Inductors 'react' against changes in current, making them useful in filters and power supplies."
"If you double the number of turns, the inductance increases 4 times."
"The unit of inductance, the Henry (H), is named after Joseph Henry, who discovered self-inductance independently of Faraday."
