### Inputs

cm

cm

^{2}cm

H/m

### 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 (m^{2})

$$r$$ = coil radius (m)

$$l$$ = coil length (m)

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

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