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Free Toroid Inductor Winding Calculator Electronics & Robotics
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Free Toroid Inductor Winding Calculator

Calculate required wire turns, single-layer fit check, wire length, and DC copper resistance for iron powder and ferrite toroid cores.

🧲 Toroid Core & Target Inductance

Iron Powder: uH / 100 turns

📊 Winding Specs & Dimensions

Required Wire Turns
31 Turns
Exact Calculated Inductance: 4.71 μH
Wire Length Needed
2.6 ft (79 cm)
Includes 2" lead tails
Winding Layer Fit
Single Layer (74% full)
Optimal for low self-capacitance
Toroid Inside Circumference: 24.2 mm
DC Winding Resistance (DCR): 0.068 Ω
How to Count Turns: Count every pass through the hole

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How to Calculate Toroid Winding Turns

Toroidal inductors concentrate magnetic flux almost entirely within the closed ring geometry, providing high quality factors ($Q$) with minimal electromagnetic interference (EMI) radiation. Manufacturers characterize cores with an $A_L$ inductance index.

The Inductance Formulas

\text{\bf Iron Powder (Amidon/Micrometals): } L(\mu\text{H}) = \frac{A_L \cdot N^2}{10,000} \quad \longrightarrow \quad N = 100 \cdot \sqrt{\frac{L(\mu\text{H})}{A_L}}
\text{\bf Ferrite (Fair-Rite): } L(\text{mH}) = \frac{A_L \cdot N^2}{1,000,000} \quad \longrightarrow \quad N = 1,000 \cdot \sqrt{\frac{L(\text{mH})}{A_L}}

Golden Rule for Counting Toroid Turns

A common mistake among radio hobbyists is counting turns along the outer diameter. In toroidal physics, one turn is counted each time the magnet wire passes through the center hole. A wire simply passed straight through the center hole of a toroid constitutes one single turn.

Frequently Asked Questions

Why does powdered iron use AL in uH/100 turns while ferrite uses mH/1000 turns?

Micrometals and Amidon standardized powdered iron datasheets around microhenries per 100 turns ($A_L = \mu\text{H} / 100^2$). Fair-Rite and European ferrite manufacturers express $A_L$ in nanohenries per turn squared ($nH / N^2$ or $mH / 1000^2$). Both formulas arrive at identical physical inductance.

What happens if I overlap winding layers on a toroid?

Overlapping turns introduces inter-winding capacitance ($C_w$), which sharply lowers the self-resonant frequency (SRF) of the inductor. For RF filters and tuned LC tanks, always space turns evenly around 80% to 90% of the circumference in a single layer.

How do I choose between iron powder and ferrite material?

Use powdered iron (Material 2 or 6) for tuned circuits, transmitters, and high-Q resonant filters where low loss and stability over temperature are vital. Use ferrite (Material 43, 61, or 77) for broadband transformers, RF chokes, and common-mode current baluns where high inductance per turn is needed.