American Wire Gauge (AWG), also known as the Brown & Sharpe wire gauge, is a logarithmic stepped standardized wire gauge system used since 1857, predominantly in North America, for the diameters of round, solid, nonferrous, electrically conducting wire. Dimensions of the wires are given in ASTM standard B 258.^{[1]} The cross-sectional area of each gauge is an important factor for determining its current-carrying ampacity.
Increasing gauge numbers denote decreasing wire diameters, which is similar to many other non-metric gauging systems such as British Standard Wire Gauge (SWG), but unlike IEC 60228, the metric wire-size standard used in most parts of the world. This gauge system originated in the number of drawing operations used to produce a given gauge of wire. Very fine wire (for example, 30 gauge) required more passes through the drawing dies than 0 gauge wire did. Manufacturers of wire formerly had proprietary wire gauge systems; the development of standardized wire gauges rationalized selection of wire for a particular purpose.
The AWG tables are for a single, solid and round conductor. The AWG of a stranded wire is determined by the cross-sectional area of the equivalent solid conductor. Because there are also small gaps between the strands, a stranded wire will always have a slightly larger overall diameter than a solid wire with the same AWG.
AWG is also commonly used to specify body piercing jewelry sizes (especially smaller sizes), even when the material is not metallic.^{[2]}
By definition, Nr. 36 AWG is 0.005 inches in diameter, and Nr. 0000 is 0.46 inches in diameter, or nearly half-an-inch. The ratio of these diameters is 1:92, and there are 40 gauge sizes from the smallest Nr. 36 AWG to the largest Nr. 0000AWG , or 39 steps. Because each successive gauge number increases cross sectional area by a constant multiple, diameters increase geometrically with falling gauge number. Any two successive gauges (e.g., A and B ) have diameters whose ratio (dia. B ÷ dia. A) is while for gauges two steps apart (e.g., A, B, and C), the ratio of the C to A is about (1.12293)² ≈ 1.26098 .
The diameter of an AWG wire is determined according to the following formula:
(where n is the AWG size for gauges from 36 to 0, n = −1 for Nr. 00, n = −2 for AWG 000, and n = −3 for AWG 0000. See rule below.^{[a]})
or equivalently:
The gauge number can be calculated from the diameter using the following formulas:^{[c]}
and the cross-section area is
The standard ASTM B258-02 defines the ratio between successive sizes to be the 39th root of 92, or approximately 1.1229322.^{[3]} ASTM B258-02 also dictates that wire diameters should be tabulated with no more than 4 significant figures, with a resolution of no more than 0.0001 inches (0.1 mils) for wires larger than Nr. 44 AWG, and 0.00001 inches (0.01 mils) for wires Nr. 45 AWG and smaller.
Very fat wires have gauge` sizes denoted by multiple zeros – 0, 00, 000, and 0000 – the more zeros, the larger the wire, starting with AWG 0. The two notations overlap when the 2 step formula for n , above, produces zero. In that case the gauge number n is zero, it's taken as-is. If n is a negative number, the gauge number is notated by multiple zeros, up to just under a half-inch; beyond that point, the “wire” may instead considered a copper bar or rod.^{[a]} The gauge can be denoted either using the long form with several zeros or the short form z "/0" called gauge "number of zeros/0" notation. For example 4/0 is short for AWG 0000. For an z /0 AWGwire, use the number of zeros and similarly in the above formulas. For instance, for AWG 0000 or 4/0, use
The sixth power of ^{39}√92 is very close to 2,^{[4]} which leads to the following rules of thumb:
AWG number |
mΩ/ft | mΩ/m | AWG number |
mΩ/ft | mΩ/m | AWG number |
mΩ/ft | mΩ/m | AWG number |
mΩ/ft | mΩ/m | |||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
000 | 0.064 | 0.2 | 8 | 0.64 | 2 | 18 | 6.4 | 20 | 28 | 64 | 200 | |||
00 | 0.08 | 0.25 | 9 | 0.8 | 2.5 | 19 | 8 | 25 | 29 | 80 | 250 | |||
0 | 0.1 | 0.32 | 10 | 1 | 3.2 | 20 | 10 | 32 | 30 | 100 | 320 | |||
1 | 0.125 | 0.4 | 11 | 1.25 | 4 | 21 | 12.5 | 40 | 31 | 125 | 400 | |||
2 | 0.16 | 0.5 | 12 | 1.6 | 5 | 22 | 16 | 50 | 32 | 160 | 500 | |||
3 | 0.2 | 0.64 | 13 | 2 | 6.4 | 23 | 20 | 64 | 33 | 200 | 640 | |||
4 | 0.25 | 0.8 | 14 | 2.5 | 8 | 24 | 25 | 80 | 34 | 250 | 800 | |||
5 | 0.32 | 1.0 | 15 | 3.2 | 10 | 25 | 32 | 100 | 35 | 320 | 1,000 | |||
6 | 0.4 | 1.25 | 16 | 4 | 12.5 | 26 | 40 | 125 | 36 | 400 | 1,250 | |||
7 | 0.5 | 1.6 | 17 | 5 | 16 | 27 | 50 | 160 | 37 | 500 | 1,600 |
The table below shows various data including both the resistance of the various wire gauges and the allowable current (ampacity) based on a copper conductor with plastic insulation. The diameter information in the table applies to solid wires. Stranded wires are calculated by calculating the equivalent cross sectional copper area. Fusing current (melting wire) is estimated based on 25 °C (77 °F) ambient temperature. The table below assumes DC, or AC frequencies equal to or less than 60 Hz, and does not take skin effect into account. "Turns of wire per unit length" is the reciprocal of the conductor diameter; it is therefore an upper limit for wire wound in the form of a helix (see solenoid), based on uninsulated wire.
AWG | Diameter | Turns of wire, without insulation |
Area | Copper wire | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Resistance per unit length^{[6]} | Max I at 4 A/mm^{2} current density | Ampacity at temperature rating^{[f]} | Fusing current^{[9]}^{[10]} | ||||||||||||
60 °C | 75 °C | 90 °C | Preece^{[11]}^{[12]}^{[13]}^{[14]} | Onderdonk^{[15]}^{[14]} | |||||||||||
(in) | (mm) | (per in) | (per cm) | (kcmil) | (mm^{2}) | (mΩ/m^{[g]}) | (mΩ/ft^{[h]}) | (A) | ~10 s | 1 s | 32 ms | ||||
0000 (4/0) | 0.4600^{[i]} | 11.684^{[i]} | 2.17 | 0.856 | 212 | 107 | 0.1608 | 0.04901 | — | 195 | 230 | 260 | 3.2 kA | 33 kA | 182 kA |
000 (3/0) | 0.4096 | 10.405 | 2.44 | 0.961 | 168 | 85.0 | 0.2028 | 0.06180 | — | 165 | 200 | 225 | 2.7 kA | 26 kA | 144 kA |
00 (2/0) | 0.3648 | 9.266 | 2.74 | 1.08 | 133 | 67.4 | 0.2557 | 0.07793 | — | 145 | 175 | 195 | 2.3 kA | 21 kA | 115 kA |
0 (1/0) | 0.3249 | 8.251 | 3.08 | 1.21 | 106 | 53.5 | 0.3224 | 0.09827 | — | 125 | 150 | 170 | 1.9 kA | 16 kA | 91 kA |
1 | 0.2893 | 7.348 | 3.46 | 1.36 | 83.7 | 42.4 | 0.4066 | 0.1239 | — | 110 | 130 | 145 | 1.6 kA | 13 kA | 72 kA |
2 | 0.2576 | 6.544 | 3.88 | 1.53 | 66.4 | 33.6 | 0.5127 | 0.1563 | — | 95 | 115 | 130 | 1.3 kA | 10.2 kA | 57 kA |
3 | 0.2294 | 5.827 | 4.36 | 1.72 | 52.6 | 26.7 | 0.6465 | 0.1970 | — | 85 | 100 | 115 | 1.1 kA | 8.1 kA | 45 kA |
4 | 0.2043 | 5.189 | 4.89 | 1.93 | 41.7 | 21.2 | 0.8152 | 0.2485 | — | 70 | 85 | 95 | 946 A | 6.4 kA | 36 kA |
5 | 0.1819 | 4.621 | 5.50 | 2.16 | 33.1 | 16.8 | 1.028 | 0.3133 | — | — | — | — | 795 A | 5.1 kA | 28 kA |
6 | 0.1620 | 4.115 | 6.17 | 2.43 | 26.3 | 13.3 | 1.296 | 0.3951 | 53.2 | 55 | 65 | 75 | 668 A | 4.0 kA | 23 kA |
7 | 0.1443 | 3.665 | 6.93 | 2.73 | 20.8 | 10.5 | 1.634 | 0.4982 | 42.2 | — | — | — | 561 A | 3.2 kA | 18 kA |
8 | 0.1285 | 3.264 | 7.78 | 3.06 | 16.5 | 8.37 | 2.061 | 0.6282 | 33.5 | 40 | 50 | 55 | 472 A | 2.5 kA | 14 kA |
9 | 0.1144 | 2.906 | 8.74 | 3.44 | 13.1 | 6.63 | 2.599 | 0.7921 | 26.5 | — | — | — | 396 A | 2.0 kA | 11 kA |
10 | 0.1019 | 2.588 | 9.81 | 3.86 | 10.4 | 5.26 | 3.277 | 0.9989 | 21.0 | 30 | 35 | 40 | 333 A | 1.6 kA | 8.9 kA |
11 | 0.0907 | 2.305 | 11.0 | 4.34 | 8.23 | 4.17 | 4.132 | 1.260 | 16.7 | — | — | — | 280 A | 1.3 kA | 7.1 kA |
12 | 0.0808 | 2.053 | 12.4 | 4.87 | 6.53 | 3.31 | 5.211 | 1.588 | 13.2 | 20 | 25 | 30 | 235 A | 1.0 kA | 5.6 kA |
13 | 0.0720 | 1.828 | 13.9 | 5.47 | 5.18 | 2.62 | 6.571 | 2.003 | 10.5 | — | — | — | 198 A | 798 A | 4.5 kA |
14 | 0.0641 | 1.628 | 15.6 | 6.14 | 4.11 | 2.08 | 8.286 | 2.525 | 8.3 | 15 | 20 | 25 | 166 A | 633 A | 3.5 kA |
15 | 0.0571 | 1.450 | 17.5 | 6.90 | 3.26 | 1.65 | 10.45 | 3.184 | 6.6 | — | — | — | 140 A | 502 A | 2.8 kA |
16 | 0.0508 | 1.291 | 19.7 | 7.75 | 2.58 | 1.31 | 13.17 | 4.016 | 5.2 | — | — | 18 | 117 A | 398 A | 2.2 kA |
17 | 0.0453 | 1.150 | 22.1 | 8.70 | 2.05 | 1.04 | 16.61 | 5.064 | 4.2 | — | — | — | 99 A | 316 A | 1.8 kA |
18 | 0.0403 | 1.024 | 24.8 | 9.77 | 1.62 | 0.823 | 20.95 | 6.385 | 3.3 | 10 | 14 | 16 | 83 A | 250 A | 1.4 kA |
19 | 0.0359 | 0.912 | 27.9 | 11.0 | 1.29 | 0.653 | 26.42 | 8.051 | 2.6 | — | — | — | 70 A | 198 A | 1.1 kA |
20 | 0.0320 | 0.812 | 31.3 | 12.3 | 1.02 | 0.518 | 33.31 | 10.15 | 2.1 | 5 | 11 | — | 58.5 A | 158 A | 882 A |
21 | 0.0285 | 0.723 | 35.1 | 13.8 | 0.810 | 0.410 | 42.00 | 12.80 | 1.6 | — | — | — | 49 A | 125 A | 700 A |
22 | 0.0253 | 0.644 | 39.5 | 15.5 | 0.642 | 0.326 | 52.96 | 16.14 | 1.3 | 3 | 7 | — | 41 A | 99 A | 551 A |
23 | 0.0226 | 0.573 | 44.3 | 17.4 | 0.509 | 0.258 | 66.79 | 20.36 | 1.0 | — | — | — | 35 A | 79 A | 440 A |
24 | 0.0201 | 0.511 | 49.7 | 19.6 | 0.404 | 0.205 | 84.22 | 25.67 | 0.8 | 2.1 | 3.5 | — | 29 A | 62 A | 348 A |
25 | 0.0179 | 0.455 | 55.9 | 22.0 | 0.320 | 0.162 | 106.2 | 32.37 | 0.7 | — | — | — | 24 A | 49 A | 276 A |
26 | 0.0159 | 0.405 | 62.7 | 24.7 | 0.254 | 0.129 | 133.9 | 40.81 | 0.5 | 1.3 | 2.2 | — | 20 A | 39 A | 218 A |
27 | 0.0142 | 0.361 | 70.4 | 27.7 | 0.202 | 0.102 | 168.9 | 51.47 | 0.4 | — | — | — | 17 A | 31 A | 174 A |
28 | 0.0126 | 0.321 | 79.1 | 31.1 | 0.160 | 0.0810 | 212.9 | 64.90 | 0.3 | 0.83 | 1.4 | — | 14 A | 24 A | 137 A |
29 | 0.0113 | 0.286 | 88.8 | 35.0 | 0.127 | 0.0642 | 268.5 | 81.84 | 0.26 | — | — | — | 12 A | 20 A | 110 A |
30 | 0.0100 | 0.255 | 99.7 | 39.3 | 0.101 | 0.0509 | 338.6 | 103.2 | 0.20 | 0.52 | 0.86 | — | 10 A | 15 A | 86 A |
31 | 0.00893 | 0.227 | 112 | 44.1 | 0.0797 | 0.0404 | 426.9 | 130.1 | 0.16 | — | — | — | 9 A | 12 A | 69 A |
32 | 0.00795 | 0.202 | 126 | 49.5 | 0.0632 | 0.0320 | 538.3 | 164.1 | 0.13 | 0.32 | 0.53 | — | 7 A | 10 A | 54 A |
33 | 0.00708 | 0.180 | 141 | 55.6 | 0.0501 | 0.0254 | 678.8 | 206.9 | 0.10 | — | — | — | 6 A | 7.7 A | 43 A |
34 | 0.00630 | 0.160 | 159 | 62.4 | 0.0398 | 0.0201 | 856.0 | 260.9 | 0.08 | 0.18 | 0.3 | — | 5 A | 6.1 A | 34 A |
35 | 0.00561 | 0.143 | 178 | 70.1 | 0.0315 | 0.0160 | 1079 | 329.0 | 0.06 | — | — | — | 4 A | 4.8 A | 27 A |
36 | 0.00500^{[i]} | 0.127^{[i]} | 200 | 78.7 | 0.0250 | 0.0127 | 1361 | 414.8 | 0.05 | — | — | — | 4 A | 3.9 A | 22 A |
37 | 0.00445 | 0.113 | 225 | 88.4 | 0.0198 | 0.0100 | 1716 | 523.1 | 0.04 | — | — | — | 3 A | 3.1 A | 17 A |
38 | 0.00397 | 0.101 | 252 | 99.3 | 0.0157 | 0.00797 | 2164 | 659.6 | 0.032 | — | — | — | 3 A | 2.4 A | 14 A |
39 | 0.00353 | 0.0897 | 283 | 111 | 0.0125 | 0.00632 | 2729 | 831.8 | 0.025 | — | — | — | 2 A | 1.9 A | 11 A |
40 | 0.00314 | 0.0799 | 318 | 125 | 0.00989 | 0.00501 | 3441 | 1049 | 0.020 | — | — | — | 1 A | 1.5 A | 8.5 A |
AWG | Diameter | Turns of wire, without insulation |
Area | Copper wire | |||||||||||
Resistance per unit length^{[6]} | Max I at 4 A/mm^{2} current density | Ampacity at temperature rating^{[j]} | Fusing current^{[9]}^{[10]} | ||||||||||||
60 °C | 75 °C | 90 °C | Preece^{[11]}^{[12]}^{[13]}^{[14]} | Onderdonk^{[15]}^{[14]} | |||||||||||
(in) | (mm) | (per in) | (per cm) | (kcmil) | (mm^{2}) | (mΩ/m^{[g]}) | (mΩ/ft^{[h]}) | (A) | ~10 s | 1 s | 32 ms |
log
on the keys of most calculators; a more explicit notation is to write out ). Likewise, most hand calculators show the natural logarithm as ln
, or more explicitly as where e is Euler's number, Any logarithm will do, including exotic logarithms such as the binary or base-two logarithm the only caveat is that the same logarithm must be used throughout any one calculation.
In the North American electrical industry, conductors larger than 4/0 AWG are generally identified by the area in thousands of circular mils (kcmil), where 1 kcmil = 0.5067 mm^{2}. The next wire size larger than 4/0 has a cross section of 250 kcmil. A circular mil is the area of a wire one mil in diameter. One million circular mils is the area of a circle with 1,000 mil (1 inch) diameter. An older abbreviation for one thousand circular mils is MCM.
AWG gauges are also used to describe stranded wire. The AWG gauge of a stranded wire represents the sum of the cross-sectional areas of the individual strands; the gaps between strands are not counted. When made with circular strands, these gaps occupy about 25% of the wire area, thus requiring the overall bundle diameter to be about 13% larger than a solid wire of equal gauge.
Stranded wires are specified with three numbers, the overall AWG size, the number of strands, and the AWG size of a strand. The number of strands and the AWG of a strand are separated by a slash. For example, a 22 AWG 7/30 stranded wire is a 22 AWG wire made from seven strands of 30 AWG wire.
As indicated in the Formulas and Rules of Thumb sections above, differences in AWG translate directly into ratios of diameter or area. This property can be employed to easily find the AWG of a stranded bundle by measuring the diameter and count of its strands. (This only applies to bundles with circular strands of identical size.) To find the AWG of 7-strand wire with equal strands, subtract 8.4 from the AWG of a strand. Similarly, for 19-strand subtract 12.7, and for 37 subtract 15.6. See the Mathcad worksheet illustration of this straightforward application of the formula.
Measuring strand diameter is often easier and more accurate than attempting to measure bundle diameter and packing ratio. Such measurement can be done with a wire gauge go-no-go tool such as a Starrett 281 or Mitutoyo 950–202, or with a caliper or micrometer.
Alternative ways are commonly used in the electrical industry to specify wire sizes as AWG.
AWG is colloquially referred to as gauge and the zeros in large wire sizes are referred to as aught /ˈɔːt/. Wire sized 1 AWG is referred to as "one gauge" or "No. 1" wire; similarly, smaller diameters are pronounced "x gauge" or "No. x" wire, where x is the positive-integer AWG number. Consecutive AWG wire sizes larger than No. 1 wire are designated by the number of zeros:
and so on.
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