Coil Inductance Calculator

This calculator computes the inductance of a wire coil.

Inputs

 
cm
cm
 
 
 

Output

Overview

The coil is the most recognizable form of an inductor. This tool is designed to calculate the inductance of a coil of wire given the length of the coil, the number of turns, the loop radius, and the permeability of the core material.

 

Equation

$$L_{coil} = \frac{ \mu_{r}  \mu_{0}  N^{2}  A}{l} = \frac{ \mu_{r} \mu_{0} N^{2} \pi r^2}{l}$$

Where:

$$L_{coil}$$ = inductance of the coil in henries (H)

$$\mu_{r}$$ = relative permeability of the core (dimensionless)

$$\mu_{0}$$ = permeability of free space = $$4 \pi × 10^{−7}$$ (H/m)

$$N$$ = number of turns

$$A$$ = coil area (m2)

$$r$$  = coil radius (m)

$$l$$ = coil length (m)

Further Reading

17 Comments
  • SLK001 April 08, 2016

    Can you make the output to display in engineering notation (e+3, e-3, e-6, e-9, etc)?

    Like. Reply
  • Antonio Braz Eufrazio October 23, 2016