Coil Inductance Calculator
Use the Coil Inductance Calculator to calculate the inductance of air-cored single-layer solenoid, multi-layer solenoid and flat spiral coils
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The formula for calculating the inductance of an air-core single-layer solenoid is:
$latex L= \frac{r^2N^2}{9r+10l}\; \mu H&s=3$
The formula for calculating the inductance of an air-core multi-layer solenoid is:
$latex L= \frac{0.8(r^2N^2)}{6r+9l+10d}\; \mu H&s=3$
The formula for calculating the inductance of an air-core flat spiral coil is:
$latex L= \frac{r^2N^2}{8r+11d}\; \mu H&s=3$
Where
N = Number of turns
r = Coil radius in inches
l = Coil length in inches
d = Winding depth in inches
L = Inductance in microhenrys (μH)
Using the Coil Inductance Calculator
Coil Geometry: Select the geometry of your coil from the list. You can choose from single-layer solenoid, multi-layer solenoid and flat spiral coil forms.
Length: Enter the coil length, measured as depicted in the diagram above.
Diameter: Enter the coil diameter, measured as depicted in the diagram above.
Depth: Enter the winding depth, as depicted in the diagram. This does not apply to a single-layer solenoid coil.
Number Of Turns: Enter the total number of turns.
Select Units: Select the units that you used for your coil dimensions from the list, and select your preferred output units of inductance.
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Reference: ARRL – The Radio Amateur’s Handbook
