How do you convert AWG to mm?
Use d = 0.127 mm × 92^((36 − n) / 39), where n is the gauge number (use −1 for 00, −2 for 000 and −3 for 0000). 24 AWG works out to 0.5105 mm after the standard’s rounding.
Look up the diameter, cross-section, resistance and mass of any size in this AWG wire gauge chart and calculator, or find the AWG closest to a metric wire. Values follow the NBS copper and aluminum wire tables, with the current limits NASA publishes for wire in flight hardware.
Resistance is tabulated at 20 °C. NEC voltage drop work uses 75 °C.
Optional: drop and heat per meter, and current density.
24 AWG diameter
0.5105 mm
The derated currents are NASA GSFC limits for 200 °C insulated wire in hard vacuum at up to 70 °C ambient. NASA uses 80 % of them for 150 °C wire and 70 % for 135 °C wire, so lower-rated insulation needs less. They are not NEC ampacities; use NEC table 310.16 or the cable maker’s rating for building wiring.
Nearby gauges at 20 °C (annealed copper)
| AWG | Diameter | Area | Resistance | Per 1000 ft |
|---|---|---|---|---|
| 21 | 0.724 mm | 0.4116 mm² | 41.89 Ω/km | 12.77 Ω |
| 22 | 0.643 mm | 0.3243 mm² | 53.16 Ω/km | 16.2 Ω |
| 23 | 0.574 mm | 0.2588 mm² | 66.62 Ω/km | 20.31 Ω |
| 24 | 0.511 mm | 0.2047 mm² | 84.22 Ω/km | 25.67 Ω |
| 25 | 0.455 mm | 0.1624 mm² | 106.2 Ω/km | 32.37 Ω |
| 26 | 0.404 mm | 0.1281 mm² | 134.6 Ω/km | 41.02 Ω |
| 27 | 0.361 mm | 0.1022 mm² | 168.7 Ω/km | 51.43 Ω |
Use d = 0.127 mm × 92^((36 − n) / 39), then round as ASTM B 258 prescribes. 24 AWG is 0.5105 mm (20.1 mil), which gives a cross-section of 0.2047 mm² and 84.22 Ω/km of copper at 20 °C. Every three gauge numbers down doubles the area and halves the resistance.
The gauge is defined by two diameters: No. 0000 is 0.4600 in and No. 36 is 0.0050 in, with 38 sizes between them in geometric progression.
ASTM B 258 rounds the result to the nearest 0.1 mil for gauges 0000 to 44 and 0.01 mil for 45 to 56, and those rounded numbers are the commercial sizes. The AWG calculator uses them, so its values match the NBS tables. The largest effect is at the thin end: 40 AWG is 3.145 mil before rounding and 3.1 mil after.
The area in circular mils is the diameter in mils squared. One kcmil is 1000 circular mils, and 1 mm² is 1.974 kcmil.
The formula gives 64.08 mil, which rounds to 64.1 mil or 1.628 mm. The cross-section is 2.082 mm². Copper at 20 °C is 1000 ÷ (58 × 2.082) = 8.281 Ω/km, or 2.524 Ω per 1000 ft. At 75 °C it is 10.07 Ω/km.
35 mm² is a fractional gauge of 1.828, so the nearest AWG is 2 AWG (33.62 mm²). That has less copper than the metric wire; the thinnest gauge with at least 35 mm² is 1 AWG (42.41 mm²).
At 20 °C the wire is 20.95 mΩ per meter, so 5 A drops 105 mV/m and heats it by 0.524 W/m. NASA’s derating allows 9.2 A for a single wire and 5 A in a bundle, so 5 A sits at the bundled limit for 200 °C wire.
This American Wire Gauge chart lists nominal sizes (ASTM B 258) with annealed copper at 20 °C. EC-H19 aluminum is 1.639 times the copper resistance at the same size.
| AWG | Diameter (mm) | Diameter (mil) | Area (mm²) | Area (kcmil) | Ω/km | Ω/1000 ft | kg/km |
|---|---|---|---|---|---|---|---|
| 0000 (4/0) | 11.684 | 460 | 107.2 | 211.6 | 0.1608 | 0.04901 | 953.2 |
| 000 (3/0) | 10.404 | 409.6 | 85.01 | 167.8 | 0.2028 | 0.06182 | 755.8 |
| 00 (2/0) | 9.266 | 364.8 | 67.43 | 133.1 | 0.2557 | 0.07793 | 599.5 |
| 0 (1/0) | 8.252 | 324.9 | 53.49 | 105.6 | 0.3223 | 0.09825 | 475.5 |
| 1 | 7.348 | 289.3 | 42.41 | 83.69 | 0.4066 | 0.1239 | 377 |
| 2 | 6.543 | 257.6 | 33.62 | 66.36 | 0.5128 | 0.1563 | 298.9 |
| 3 | 5.827 | 229.4 | 26.67 | 52.62 | 0.6466 | 0.1971 | 237.1 |
| 4 | 5.189 | 204.3 | 21.15 | 41.74 | 0.8152 | 0.2485 | 188 |
| 5 | 4.620 | 181.9 | 16.77 | 33.09 | 1.028 | 0.3134 | 149 |
| 6 | 4.115 | 162 | 13.3 | 26.24 | 1.297 | 0.3952 | 118.2 |
| 7 | 3.665 | 144.3 | 10.55 | 20.82 | 1.634 | 0.4981 | 93.8 |
| 8 | 3.264 | 128.5 | 8.367 | 16.51 | 2.061 | 0.6281 | 74.38 |
| 9 | 2.906 | 114.4 | 6.631 | 13.09 | 2.6 | 0.7925 | 58.95 |
| 10 | 2.588 | 101.9 | 5.261 | 10.38 | 3.277 | 0.9988 | 46.77 |
| 11 | 2.304 | 90.7 | 4.168 | 8.226 | 4.136 | 1.261 | 37.06 |
| 12 | 2.052 | 80.8 | 3.308 | 6.529 | 5.212 | 1.589 | 29.41 |
| 13 | 1.829 | 72 | 2.627 | 5.184 | 6.564 | 2.001 | 23.35 |
| 14 | 1.628 | 64.1 | 2.082 | 4.109 | 8.281 | 2.524 | 18.51 |
| 15 | 1.450 | 57.1 | 1.652 | 3.26 | 10.44 | 3.181 | 14.69 |
| 16 | 1.290 | 50.8 | 1.308 | 2.581 | 13.19 | 4.019 | 11.62 |
| 17 | 1.151 | 45.3 | 1.04 | 2.052 | 16.58 | 5.054 | 9.244 |
| 18 | 1.024 | 40.3 | 0.8229 | 1.624 | 20.95 | 6.386 | 7.316 |
| 19 | 0.912 | 35.9 | 0.653 | 1.289 | 26.4 | 8.047 | 5.806 |
| 20 | 0.813 | 32 | 0.5189 | 1.024 | 33.23 | 10.13 | 4.613 |
| 21 | 0.724 | 28.5 | 0.4116 | 0.8123 | 41.89 | 12.77 | 3.659 |
| 22 | 0.643 | 25.3 | 0.3243 | 0.6401 | 53.16 | 16.2 | 2.883 |
| 23 | 0.574 | 22.6 | 0.2588 | 0.5108 | 66.62 | 20.31 | 2.301 |
| 24 | 0.511 | 20.1 | 0.2047 | 0.404 | 84.22 | 25.67 | 1.82 |
| 25 | 0.4547 | 17.9 | 0.1624 | 0.3204 | 106.2 | 32.37 | 1.443 |
| 26 | 0.4039 | 15.9 | 0.1281 | 0.2528 | 134.6 | 41.02 | 1.139 |
| 27 | 0.3607 | 14.2 | 0.1022 | 0.2016 | 168.7 | 51.43 | 0.9083 |
| 28 | 0.3200 | 12.6 | 0.08044 | 0.1588 | 214.3 | 65.33 | 0.7152 |
| 29 | 0.2870 | 11.3 | 0.0647 | 0.1277 | 266.5 | 81.22 | 0.5752 |
| 30 | 0.2540 | 10 | 0.05067 | 0.1 | 340.3 | 103.7 | 0.4505 |
| 31 | 0.2261 | 8.9 | 0.04014 | 0.07921 | 429.6 | 130.9 | 0.3568 |
| 32 | 0.2032 | 8 | 0.03243 | 0.064 | 531.7 | 162.1 | 0.2883 |
| 33 | 0.1803 | 7.1 | 0.02554 | 0.05041 | 675 | 205.7 | 0.2271 |
| 34 | 0.1600 | 6.3 | 0.02011 | 0.03969 | 857.3 | 261.3 | 0.1788 |
| 35 | 0.1422 | 5.6 | 0.01589 | 0.03136 | 1085 | 330.7 | 0.1413 |
| 36 | 0.1270 | 5 | 0.01267 | 0.025 | 1361 | 414.8 | 0.1126 |
| 37 | 0.1143 | 4.5 | 0.01026 | 0.02025 | 1680 | 512.2 | 0.09122 |
| 38 | 0.1016 | 4 | 0.008107 | 0.016 | 2127 | 648.2 | 0.07207 |
| 39 | 0.0889 | 3.5 | 0.006207 | 0.01225 | 2778 | 846.6 | 0.05518 |
| 40 | 0.0787 | 3.1 | 0.004869 | 0.00961 | 3541 | 1079 | 0.04329 |
IEC 60228 nominal sizes with the nearest AWG and the thinnest AWG that has at least the same copper. Use the “At least this area” column when the wire must not be smaller.
| Metric size | Nearest AWG | Nearest area | At least this area | Area of that size |
|---|---|---|---|---|
| 0.5 mm² | 20 AWG | 0.5189 mm² | 20 AWG | 0.5189 mm² |
| 0.75 mm² | 18 AWG | 0.8229 mm² | 18 AWG | 0.8229 mm² |
| 1 mm² | 17 AWG | 1.04 mm² | 17 AWG | 1.04 mm² |
| 1.5 mm² | 15 AWG | 1.652 mm² | 15 AWG | 1.652 mm² |
| 2.5 mm² | 13 AWG | 2.627 mm² | 13 AWG | 2.627 mm² |
| 4 mm² | 11 AWG | 4.168 mm² | 11 AWG | 4.168 mm² |
| 6 mm² | 9 AWG | 6.631 mm² | 9 AWG | 6.631 mm² |
| 10 mm² | 7 AWG | 10.55 mm² | 7 AWG | 10.55 mm² |
| 16 mm² | 5 AWG | 16.77 mm² | 5 AWG | 16.77 mm² |
| 25 mm² | 3 AWG | 26.67 mm² | 3 AWG | 26.67 mm² |
| 35 mm² | 2 AWG | 33.62 mm² | 1 AWG | 42.41 mm² |
| 50 mm² | 1/0 AWG | 53.49 mm² | 1/0 AWG | 53.49 mm² |
| 70 mm² | 2/0 AWG | 67.43 mm² | 3/0 AWG | 85.01 mm² |
| 95 mm² | 3/0 AWG | 85.01 mm² | 4/0 AWG | 107.2 mm² |
NASA EEE-INST-002 table 4A. These are limits for 200 °C insulated copper wire in hard vacuum at up to 70 °C ambient. NASA scales them to 80 % for 150 °C wire and 70 % for 135 °C wire.
| AWG | Single wire | Bundled or multi-conductor |
|---|---|---|
| 30 AWG | 1.3 A | 0.7 A |
| 28 AWG | 1.8 A | 1 A |
| 26 AWG | 2.5 A | 1.4 A |
| 24 AWG | 3.3 A | 2 A |
| 22 AWG | 4.5 A | 2.5 A |
| 20 AWG | 6.5 A | 3.7 A |
| 18 AWG | 9.2 A | 5 A |
| 16 AWG | 13 A | 6.5 A |
| 14 AWG | 19 A | 8.5 A |
| 12 AWG | 25 A | 11.5 A |
| 10 AWG | 33 A | 16.5 A |
| 8 AWG | 44 A | 23 A |
| 6 AWG | 60 A | 30 A |
| 4 AWG | 81 A | 40 A |
| 2 AWG | 108 A | 50 A |
| 1/0 AWG | 147 A | 75 A |
| 2/0 AWG | 169 A | 87.5 A |
Current ratings depend on the insulation’s temperature limit, the ambient and how many wires share the bundle, so no single table is right for every use. Vacuum removes convection, which makes NASA’s figures conservative for 200 °C wire in air, but not for wire with a lower temperature rating. Premises wiring in the US follows NEC table 310.16, which is not reproduced here. Stranded wire adds 2 % to resistance (3 to 5 % above 2000 kcmil) and has a larger outer diameter than the solid size, so check the terminal and crimp sizes against the wire’s data sheet. Hard-drawn copper is about 2.5 % more resistive than the annealed copper in these tables, and tin plating adds a little more. AC at high frequency flows near the surface of the conductor, so the DC resistance shown is only the low-frequency limit.
Use d = 0.127 mm × 92^((36 − n) / 39), where n is the gauge number (use −1 for 00, −2 for 000 and −3 for 0000). 24 AWG works out to 0.5105 mm after the standard’s rounding.
Get the diameter from the AWG formula, then use A = (π / 4) × d². 24 AWG is 0.5105 mm across, so its cross-section is 0.2047 mm².
Find the gauge in the first column and read across for diameter, area, resistance and mass per km. A lower number is a thicker wire: going three gauge numbers lower, which is up the chart, doubles the area and halves the resistance.
0.3243 mm², from a nominal diameter of 25.3 mil (0.6426 mm). Its resistance is 53.16 Ω/km of copper at 20 °C.
The gauge number counts drawing steps: each step pulls the wire through a smaller die, so more steps give a thinner wire. The sizes form a geometric series anchored at 0000 (0.4600 in) and 36 (0.0050 in).
Each gauge step changes diameter by a factor of 1.1229. Six steps almost exactly double the diameter (2.005 times), so three steps double the cross-section and halve the resistance, and ten steps change resistance about tenfold.
There is no single answer: it depends on the insulation temperature rating, the ambient, and bundling. NASA’s space-flight derating allows 4.5 A for a single 22 AWG wire and 2.5 A in a bundle, for 200 °C wire in vacuum at 70 °C, and 70 % of that for 135 °C wire. Use the wire maker’s rating or NEC table 310.16 for building wiring.
Only in part. The current table here is NASA’s derating for 200 °C insulated copper wire in hard vacuum at up to 70 °C ambient, not a general ampacity rating. For building wiring use the wire maker’s rating or NEC table 310.16, which is not reproduced here.
A stranded wire of a given AWG has about the same total copper area as the solid wire, but its outer diameter is larger and its resistance is about 2 % higher because the strands are twisted and so slightly longer.
15 AWG (1.652 mm²) is the nearest gauge and has slightly more copper. Odd gauges are less commonly stocked, so in practice use 14 AWG (2.082 mm²), or 16 AWG (1.308 mm²) if a slightly smaller wire is acceptable.
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