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Wire Gauge Converter

Convert AWG (American Wire Gauge) sizes to metric. View diameter, cross-sectional area, and copper resistance.

Wire Gauge Converter tool

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Example

Input: 12 AWG wire

Result: Diameter 2.0525 mm (0.08081 inches), area 3.309 mm², copper resistance 1.5881 Ω per 1000 ft

d = 0.127 x 92^((36 - 12) / 39) = 2.0525 mm, and area = pi / 4 x 2.0525^2 = 3.309 mm².

Common AWG Sizes and Copper Resistance

AWGDiameter (mm)Area (mm²)Ohms per 1000 ft
0000 (4/0)11.684107.2190.049
0 (1/0)8.25153.4750.098
26.54433.6310.156
45.18921.1510.248
64.11513.3020.395
83.2648.3660.628
102.5885.2610.999
122.0533.3091.588
141.6282.0812.525
161.2911.3094.015
181.0240.8236.385
200.8120.51810.152
220.6440.32616.142
240.5110.20525.667

Solid copper at 20 C, from the AWG formula the converter uses.

  1. Open the AWG Wire Gauge dropdown, which lists every standard gauge from 0000 (4/0) to 40 AWG.
  2. Select the gauge number printed on your wire, cable, or spec sheet.
  3. View the converted values including diameter (mm and inches), cross-sectional area (sq mm and circular mils), and copper resistance per meter and per 1000 ft.
  4. Copy any value with its copy button to paste into a spec sheet, order, or calculation.
  5. Use the resistance-per-length figures to calculate voltage drop for your specific wire run distance.

AWG Wire Sizes in Millimeters

AWG (American Wire Gauge) numbers describe wire thickness, and a smaller number means a thicker wire. 12 AWG is 2.05 mm across, with a copper area of 3.31 square millimeters. This converter turns any gauge from 0000 (4/0) to 40 AWG into metric sizes and copper resistance.

The scale is set by a formula: diameter in mm = 0.127 x 92^((36 - AWG) / 39). Two handy rules follow from it. Every 6 gauges down, the diameter doubles. Every 3 gauges down, the area roughly doubles, which halves the resistance. So 10 AWG has about twice the copper of 13 AWG, and 12 AWG has about four times the copper of 18 AWG.

For each gauge, you get the diameter in millimeters and inches. You also get the area in square millimeters and in circular mils, a US unit equal to the diameter in thousandths of an inch, squared. Last is the resistance of solid copper wire at 20 C, per meter and per 1,000 feet. Stranded wire is a bit wider than solid wire of the same gauge, but it carries about the same copper area.

Resistance per length helps you estimate voltage drop, which is current times the resistance of the whole run, out and back. This tool does not give ampacity, the safe current a wire can carry. That depends on insulation, bundling and your local electrical code, so check the code tables for any building wiring. For the voltage drop math itself, use the Ohm's Law Calculator.

Formula / How It Works

Diameter (mm) = 0.127 x 92^((36 - AWG) / 39) | Area (mm^2) = pi / 4 x d^2 | Copper resistance per meter = 1.724 x 10^-8 ohm-m / area (m^2), at 20 C

Frequently Asked Questions

12 AWG wire is 2.053 mm in diameter, or 0.0808 inches. Its cross-section is 3.309 square millimeters, so it sits between the metric sizes of 2.5 and 4 square millimeters. Solid copper 12 AWG has about 1.59 ohms of resistance per 1,000 feet at 20 C.
The numbers come from wire drawing. Each gauge number roughly matched one more pass through a smaller die, so thin wire that had been drawn many times got a high number. That is why 0000 AWG is thick cable and 40 AWG is finer than a hair.
Find the gauge whose area is closest to your size. For example, 1.5 square millimeters is close to 16 AWG (1.31) and 15 AWG. 2.5 square millimeters is between 14 AWG (2.08) and 13 AWG. Metric and AWG sizes do not line up exactly, so when in doubt, pick the thicker wire.
Multiply the resistance per foot by the total wire length, out and back, then by the current. A 50 foot run of 12 AWG is 100 feet of wire, or about 0.159 ohms. At 15 A, the drop is 15 x 0.159 = 2.4 V. That is 2% of 120 V.

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