Air cored inductor calculator

This calculator is useful when making antenna matching units, low pass filters, crystal sets, antenna traps, resonant circuits or anywhere where an air cored single layer inductor is required.

Diameter and length of inductor are entered in millimetres along with the number of turns. Frequency can be entered to find the Q of the inductor at a specific frequency, but is not required. Inductance values are calculated to 3 decimal places and are given in nH, µH, mH and even to 5 decimal places, H! An example of a T-match inductor for 1.8MHz is already inputted, click calculate, or clear fields to enter your own values.

Input coil diameter, length & number of turns
Inductor Symbol
Calculated
inductance, Q and wire length
Coil diameter
mm
Nano H
nH
Coil length
mm
Micro H
µH
Number of turns
t
Milli H
mH
Henry
H
Frequency
(Not required, but used for calculating Q)
MHz
Inductor Q
Q

Wire length is calculated by (diameter x π x turns). π is taken to be
3.14159265358979323846264338327950288419716939937510
which is a little over the top I know! As 39 decimal places is sufficient to estimate the circumference of any circle that fits in the observable universe with precision comparable to the radius of a hydrogen atom, the 50 decimal places I have used should be OK for your inductor. Just remember to cut a bit longer for some tails!

Wire length
m
cm
mm

Air Core Inductor Calculator

The formula used in this calculator is from:

R. Lundin, "A Handbook Formula for the Inductance of a Single-Layer Circular Coil," Proc. IEEE, vol. 73, no. 9, pp. 1428-1429, Sep. 1985.