Inductance Of Air Core Inductor Calculator
Instantly calculate the inductance of an air-core coil using diameter, turns, and coil length. Accurate, fast, and perfect for RF and electronics design.
Inductance of Air Core Inductor Calculator:
Inductance of air core inductor Calculator calculates the inductance of an air core inductor coil with a single layer, depending on its physical size. Type in the diameter of the coils, the number of turns, and the coil length, and automatically calculate inductance in microhenries (µH) with the Wheeler formula or the Nagaoka correction to calculate inductance more accurately.
The tool is primarily suitable for the design of radio-frequency (RF) coils, chokes, and resonant circuits in cases where the magnetic cores are not present. It also computes the inductance per turn, total circuits of wire, and gives recommendations on the best ratio of coil aspect. This calculator enables engineers and students to find the size of inductors very quickly when used in oscillators, filters, and impedance matching networks.
Inductance of Air Core Inductor Tools formula
To calculate the inductance of an air-core inductor, use Wheeler’s formula:
Formula: \( L(\mu H) = \frac{r^{2}N^{2}}{9r+10\iota} \)
where 𝑟 is coil radius (in inches), 𝑙 is coil length (in inches), and 𝑁 is the number of turns. This calculator automates the process — enter your coil’s diameter, turns, and length to get inductance in µH, plus coil geometry details such as winding length, aspect ratio, and recommended spacing for accurate RF design.
Work & Installation — Input to Output Summary
Work: Computes inductance of a single-layer solenoid or air-core coil using empirical formulas (Wheeler, Nagaoka). Optionally converts between metric and imperial units and estimates coil resistance and wire length.
Installation:
- Add calculator HTML and CSS to your website.
- Link the JavaScript file that runs the inductance formulas.
- Optionally embed with for easy inclusion.
Input:
- Coil diameter (D)
- Coil length (L)
- Number of turns (N)
- Wire diameter (optional)
- Units (mm/inch)
Output:
- Inductance (µH)
- Inductance per turn²
- Wire length
- Coil aspect ratio (L/D)
- Turn spacing
- Recommended coil configuration
Example:
Testing and Final Adjustments
Verify known cases of inductors and datasheets with the calculator to verify its accuracy. Compare the results with the formula of Wheeler and Nagaoka of the various coil geometries (short coils, long solenoids). Test accuracy in changing inches to millimeters. To improve UX, one should add some warnings in case the coil length is not long enough (L < 0.4D) to follow simple formulae. Include hover tooltips with each variable description, and formula reference, and an option of metric/imperial. Check the results of output formatting (e.g., L 4.23 mH) and dissipation of power in the case of the wire resistance. To make the final adjustments: make sure that it is responsive, labeled accessible, le and the final option of copying the results or exporting them as a CSV. Minimizes the JavaScript loading time and adds unit tests of arbitrary coil geometry to ensure accuracy within 2 per cent.
