Below is online calculator for calculating inductance or number of turns required to make iron core and ferrite toroid inductor. There are two calculators- the first one uses the inductance index(inductance factor) and the other uses the geometry of the toroid.
A. Using Inductance Factor AL

Iron Powered Toroid Inductor
The formula for Iron Powered Toroid Inductor used above is given below.
Inductance(L): L=ALN210,000[μH]
Number of Turns(N): N=100√LμHAL
where,
- L is inductance in uH
- AL is inductance factor(inductance index) in μH per 100 turn squared
Ferrite Toroid Inductor
The formula for Ferrite Toroid Inductor used above is given below.
Inductance(L): L=ALN21,000,000[mH]
Number of Turns(N): N=1000√LmHAL
where,
- L is inductance in mH
- AL is inductance factor(inductance index) in mH per 1,000 turn squaredB. Using Toroid Geometry
Formula Used:
Inductance: L=4πN2μinAele[nH]
Effective Length: le=π(D−d)ln(Dd)[cm2]
Effective Area: Ae=0.5n(D−d)h[cm]
where,
- L is inductance in nH
- D is the outer diameter in cm
- d is the inner diameter in cm
- h is the height in cm
- Ae is the effective area in cm2
- le is the effective length in cm
- μi is the initial permeability
- N is the number of turns- n is the number of stacked cores
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inductor calculator