AWG Wire Gauge Calculator
Enter an American Wire Gauge (AWG) number to find the conductor diameter, cross-sectional area and DC resistance per kilometre for solid copper wire. The tool applies the standard geometric AWG formula, then works out area from the circle and resistance from copper's resistivity of 1.68e-8 ohm-metres at 20 C. Remember that the scale runs backwards: a larger AWG number means a thinner wire.
How to use the wire gauge calculator
- Type the AWG number into the AWG number field, or tap a preset from 0 to 28.
- Read the conductor diameter in millimetres from the Diameter card.
- Read the cross-sectional area in square millimetres from the Area card.
- Check the Resistance card for the DC resistance per kilometre of solid copper at 20 C.
- Use Copy to save the gauge, diameter, area and resistance as a single line.
Examples
AWG 12 power wire
awg = 12
diameter 2.053 mm, area 3.309 mm2, 5.08 ohm/km
AWG 24 signal wire
awg = 24
diameter 0.511 mm, area 0.205 mm2, 82.06 ohm/km
AWG 0 (1/0) service cable
awg = 0
diameter 8.251 mm, area 53.475 mm2, 0.31 ohm/km
Frequently asked questions
What is the AWG to diameter formula?
Diameter in millimetres equals 0.127 x 92^((36 - AWG) / 39). It is a geometric series, so each six-gauge step roughly halves or doubles the diameter, and each three-gauge step changes the area by about half.
Does a higher AWG number mean thicker or thinner wire?
Thinner. AWG is an inverse scale, so AWG 24 is much thinner than AWG 12. Wires thicker than AWG 0 use 00, 000 and 0000, which this tool represents as -1, -2 and -3.
How is the resistance per km calculated?
From R = rho x length / area, with length set to 1000 m and copper resistivity rho of 1.68e-8 ohm-metres. That simplifies to 16.8 divided by the area in square millimetres for a solid conductor.
What AWG range does the tool accept?
From -3 up to 40, where -3 stands for 0000 (4/0) and higher numbers are thinner. Values outside that range are rejected because they fall outside the practical catalogue.
Can I enter fractional or negative gauges?
Yes. The formula is continuous, so a value like 12.5 returns a diameter between AWG 12 and 13, and negative numbers cover the 0, 00, 000 and 0000 sizes.
Why does my stranded wire read a slightly different resistance?
This calculator assumes a single solid copper conductor at 20 C. Stranded wire packs slightly less copper into the same nominal gauge, and higher temperatures raise resistance, so real values run a little above these.
Does this tell me the safe current for a wire?
No. It reports diameter, area and DC resistance, not ampacity. Safe current depends on insulation rating, bundling, ambient temperature and code tables, so always check the relevant wiring standard.
What does cross-sectional area tell me?
Area in square millimetres sets how much current the conductor can carry before overheating and drives the resistance. A larger area carries more current with less heating and less voltage drop.
Does anything I enter get uploaded?
No. The whole calculation happens locally in your browser. The AWG number you type is never sent to or stored on a server.
Learn more
- Understanding AWG Wire Gauge and Its Formula
Where the AWG scale comes from, why bigger numbers mean thinner wire, and how diameter, area and resistance connect.
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