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Inductor / Coil Calculator

Calculate air-core coil inductance, LC resonant frequency, and inductive reactance. Built for RF designers and electronics engineers.

Air-Core Coil N turns N turns

How the Inductor Calculator Works

Three modes for common inductor calculations in RF and power electronics.

1

Air-Core Coil

Wheeler's formula: L = (N² × r²) / (9r + 10l) in µH. Enter turns, diameter in inches, and coil length.

2

LC Resonance

f = 1 / (2π√(LC)). Enter any two of L, C, and f — the calculator solves for the third automatically.

3

Inductive Reactance

XL = 2πfL in ohms. Enter inductance and frequency to see the coil's AC impedance.

Common Ferrite Permeability Values

Typical relative permeability (μr) for common ferrite materials.

Material Permeability (μr) Frequency Range Application
Ferrite 43 850 1–30 MHz EMI suppression, broadband
Ferrite 31 1500 0.1–10 MHz Power line chokes
Ferrite 61 125 10–100 MHz RF transformers, antenna
Ferrite 77 2000 <1 MHz Power converters
Iron Powder −2 10 >30 MHz RF inductors
Iron Powder −6 8 >50 MHz VHF inductors

Frequently Asked Questions

Common questions about inductor calculations.

Use Wheeler's formula: L (µH) = (N² × r²) / (9r + 10l), where N is number of turns, r is coil radius in inches, and l is coil length in inches. This approximation is accurate for coils where l > 0.8r.

The resonant frequency of an LC tank circuit is f = 1 / (2π × √(L × C)). Given any two values, our calculator solves for the third. This is essential for tuning RF circuits, filters, and oscillators.

Inductive reactance XL = 2πfL is the opposition an inductor provides to AC current, measured in ohms. It increases with both frequency and inductance. At DC (f=0), an ideal inductor behaves as a short circuit (XL = 0).