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American wire gauge
View on WikipediaAmerican Wire Gauge (AWG) 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 capacity.
Origin
[edit]The AWG 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.
While the AWG is essentially identical to the Brown & Sharpe (B&S) sheet metal gauge, the B&S gauge was designed for use with sheet metals. These are functionally interchangeable, but the use of B&S in relation to wire gauges, rather than sheet metal gauges, is technically improper.
Specifications
[edit]Increasing gauge numbers denote logarithmically decreasing wire diameters, which is similar to many other non-metric gauging systems such as British Standard Wire Gauge (SWG). However, AWG is dissimilar to IEC 60228, the metric wire-size standard used in most parts of the world, based directly on the wire cross-section area (in square millimetres, mm2).
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.
Formulae
[edit]By definition, 36 AWG is 0.005 inches in diameter, and 0000 AWG is 0.46 inches in diameter. The ratio of these diameters is 1:92, and there are 40 gauge sizes from 36 to 0000, or 39 steps. Because each successive gauge number increases cross sectional area by a constant multiple, diameters vary geometrically. Any two successive gauges (e.g., A and B) have diameters whose ratio (dia. B ÷ dia. A) is (approximately 1.12293), while for gauges two steps apart (e.g., A, B, and C), the ratio of the C to A is about 1.122932 ≈ 1.26098. Similarly for gauges n steps apart the ratio of the first to last gauges is about 1.12293n.
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 00, n = −2 for 000, and n = −3 for 0000. See below for rule.)
or equivalently:
The gauge can be calculated from the diameter using [2]
and the cross-section area is
- .
The standard ASTM B258-02 (2008), Standard Specification for Standard Nominal Diameters and Cross-Sectional Areas of AWG Sizes of Solid Round Wires Used as Electrical Conductors, 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 thicker than 44 AWG, and 0.00001 inches (0.01 mils) for wires 45 AWG and thinner.
Sizes with multiple zeros are successively thicker than 0 AWG and can be denoted using "number of zeros/0", for example 4/0 AWG for 0000 AWG. For an m/0 AWG wire, use n = −(m − 1) = 1 − m in the above formulas. For instance, for 0000 AWG or 4/0 AWG, use n = −3.
Rules of thumb
[edit]The sixth power of is very close to 2,[4] which leads to the following rules of thumb:
- When the cross-sectional area of a wire is doubled, the AWG will decrease by 3; for example, two 14 AWG wires have about the same cross-sectional area as a single 11 AWG wire. This doubles the electrical conductance.
- When the diameter of a solid round wire is doubled, the AWG will decrease by 6; for example, 1 mm diameter wire is ≈18 AWG, 2 mm diameter wire is ≈12 AWG, and 4 mm diameter wire is ≈6 AWG. This quadruples the cross-sectional area and conductance.
- A decrease of ten gauge numbers; for example, from 24 AWG to 14 AWG multiplies the area, weight, and conductance by approximately 10.
Convenient coincidences result in the following rules of thumb for resistances:
- The resistance of copper wire is approximately 1 Ω/1000 ft for 10 AWG, 10 Ω/1000 ft for 20 AWG, 100 Ω/1000 ft for 30 AWG, and so on.[5]: 27 For an arbitrary gauge n, it is approximately 10n/10 Ω per 10000 ft.
- Because aluminum wire has a conductivity of approximately 61% of copper, an aluminum wire has nearly the same resistance as a copper wire that is two sizes smaller, which has 62.9% of the area.
Tables of AWG wire sizes
[edit]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 wire 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 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Length-specific resistance[6] |
Ampacity at temperature rating[a] | 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) | (mm2) | (mΩ/m[b]) | (mΩ/ft[c]) | (A) | ~10 s | 1 s | 32 ms | |||
| 0000 (4/0) | 0.4600[d] | 11.684[d] | 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 | 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 | 561 A | 3.2 kA | 18 kA | |||
| 8 | 0.1285 | 3.264 | 7.78 | 3.06 | 16.5 | 8.37 | 2.061 | 0.6282 | 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 | 396 A | 2.0 kA | 11 kA | |||
| 10 | 0.1019 | 2.588 | 9.81 | 3.86 | 10.4 | 5.26 | 3.277 | 0.9989 | 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 | 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 | 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 | 198 A | 798 A | 4.5 kA | |||
| 14 | 0.0641 | 1.628 | 15.6 | 6.14 | 4.11 | 2.08 | 8.286 | 2.525 | 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 | 140 A | 502 A | 2.8 kA | |||
| 16 | 0.0508 | 1.291 | 19.7 | 7.75 | 2.58 | 1.31 | 13.17 | 4.016 | 12 | 16 | 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 | 99 A | 316 A | 1.8 kA | |||
| 18 | 0.0403 | 1.024 | 24.8 | 9.77 | 1.62 | 0.823 | 20.95 | 6.385 | 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 | — | — | — | 70 A | 198 A | 1.1 kA |
| 20 | 0.0320 | 0.812 | 31.3 | 12.3 | 1.02 | 0.518 | 33.31 | 10.15 | 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 | — | — | — | 49 A | 125 A | 700 A |
| 22 | 0.0253 | 0.644 | 39.5 | 15.5 | 0.642 | 0.326 | 52.96 | 16.14 | 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 | — | — | — | 35 A | 79 A | 440 A |
| 24 | 0.0201 | 0.511 | 49.7 | 19.6 | 0.404 | 0.205 | 84.22 | 25.67 | 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 | — | — | — | 24 A | 49 A | 276 A |
| 26 | 0.0159 | 0.405 | 62.7 | 24.7 | 0.254 | 0.129 | 133.9 | 40.81 | 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 | — | — | — | 17 A | 31 A | 174 A |
| 28 | 0.0126 | 0.321 | 79.1 | 31.1 | 0.160 | 0.0810 | 212.9 | 64.90 | 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 | — | — | — | 12 A | 20 A | 110 A |
| 30 | 0.0100 | 0.255 | 99.7 | 39.3 | 0.101 | 0.0509 | 338.6 | 103.2 | 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 | — | — | — | 9 A | 12 A | 69 A |
| 32 | 0.00795 | 0.202 | 126 | 49.5 | 0.0632 | 0.0320 | 538.3 | 164.1 | 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 | — | — | — | 6 A | 7.7 A | 43 A |
| 34 | 0.00630 | 0.160 | 159 | 62.4 | 0.0398 | 0.0201 | 856.0 | 260.9 | 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 | — | — | — | 4 A | 4.8 A | 27 A |
| 36 | 0.00500[d] | 0.127[d] | 200 | 78.7 | 0.0250 | 0.0127 | 1361 | 414.8 | — | — | — | 4 A | 3.9 A | 22 A |
| 37 | 0.00445 | 0.113 | 225 | 88.4 | 0.0198 | 0.0100 | 1716 | 523.1 | — | — | — | 3 A | 3.1 A | 17 A |
| 38 | 0.00397 | 0.101 | 252 | 99.3 | 0.0157 | 0.00797 | 2164 | 659.6 | — | — | — | 3 A | 2.4 A | 14 A |
| 39 | 0.00353 | 0.0897 | 283 | 111 | 0.0125 | 0.00632 | 2729 | 831.8 | — | — | — | 2 A | 1.9 A | 11 A |
| 40 | 0.00314 | 0.0799 | 318 | 125 | 0.00989 | 0.00501 | 3441 | 1049 | — | — | — | 1 A | 1.5 A | 8.5 A |
In the North American electrical industry, conductors thicker than 4/0 AWG are generally identified by the area in thousands of circular mils (kcmil), where 1 kcmil = 0.5067 mm2. The next wire size thicker 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.
Stranded wire AWG sizes
[edit]AWG can also be used to describe stranded wire. The AWG of a stranded wire represents the sum of the cross-sectional diameter 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 Formulae 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.
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 or with a caliper or micrometer.
Nomenclature and abbreviations in electrical distribution
[edit]Alternative ways are commonly used in the electrical industry to specify wire sizes as AWG.
- 4 AWG (proper)
- #4 (the number sign is used as an abbreviation of "number")
- № 4 (the numero sign is used as an abbreviation for "number")
- No. 4 (an approximation of the numero is used as an abbreviation for "number")
- No. 4 AWG
- 4 ga. (abbreviation for "gauge")
- 000 AWG (proper for thick sizes)
- 3/0 (common for thick sizes) Pronounced "three-aught" or "triple-aught"
- 3/0 AWG
- #000
Pronunciation
[edit]AWG is colloquially referred to as gauge and the zeros in thick wire sizes are referred to as aught /ˈɔːt/. Wire sized 1 AWG is referred to as "one gauge" or "No. 1" wire; similarly, thinner sizes are pronounced "x gauge" or "No. x" wire, where x is the positive-integer AWG number. Consecutive AWG wire sizes thicker than No. 1 wire are designated by the number of zeros:
- No. 0, often written 1/0 and referred to as "one-aught" or "single-aught" wire
- No. 00, often written 2/0 and referred to as "two-aught" or "double-aught" wire
- No. 000, often written 3/0 and referred to as "three-aught" or "triple-aught" wire
and so on.
See also
[edit]- IEC 60228, international standards for wire sizes
- French gauge
- Brown & Sharpe
- Circular mil, North American Electrical industry standard for wires thicker than 4/0.
- Standard wire gauge or SWG, has a similar but not interchangeable numbering scheme to AWG.
- Birmingham Wire Gauge
- Stubs Iron Wire Gauge
- Jewelry wire
- Body jewelry sizes, which commonly uses AWG especially for thinner sizes, even when the material is not metallic.[16]
- Electrical wiring
- Number 8 wire, a term used in the New Zealand vernacular
References
[edit]- ^ "ASTM B258-14 Standard Specification for Standard Nominal Diameters and Cross-sectional Areas of AWG Sizes of Solid Round Wires Used as Electrical Conductors". West Conshohocken, Pennsylvania: ASTM International. Archived from the original on 22 July 2014. Retrieved 22 March 2015.
- ^ The logarithm to the base 92 can be computed using any other logarithm, such as common or natural logarithm, using log92x = (log x)/(log 92).
- ^ ASTM Standard B258-02, page 4
- ^ The result is 2.0050315..., or one-quarter of one percent higher than 2.
- ^ Copper Wire Tables (Technical report). Circular of the Bureau of Standards No. 31 (3rd ed.). United States Department of Commerce. October 1, 1914.
- ^ Figure for solid copper wire at 68 °F (20 °C), (Not in accordance to NEC Codebook 2014 Ch. 9, Table 8) computed based on 100% IACS conductivity of 58.0 MS/m, which agrees with multiple sources:
- Lund, Mark. "American Wire Gauge table and AWG Electrical Current Load Limits". Powerstream.com. Retrieved 2008-05-02. (although the ft/m conversion seems slightly erroneous)
- Belden Master Catalog, 2006, although data from there for gauges 35 and 37–40 seem obviously wrong.
- ^ NFPA 70 National Electrical Code 2014 Edition Archived 2008-10-15 at the Wayback Machine. Table 310.15(B)(16) (formerly Table 310.16) page 70-161, "Allowable ampacities of insulated conductors rated 0 through 2000 volts, 60°C through 90°C, not more than three current-carrying conductors in raceway, cable, or earth (directly buried) based on ambient temperature of 30°C." Extracts from NFPA 70 do not represent the full position of NFPA and the original complete Code must be consulted. In particular, the maximum permissible overcurrent protection devices may set a lower limit.
- ^ "Table 11: Recommended Current Ratings (Continuous Duty) for electronic equipment and chassis wiring". Reference Data for Engineers: Radio, Electronics, Computer and Communications (7th ed.). pp. 49–16.
- ^ Computed using equations from Beaty, H. Wayne; Fink, Donald G., eds. (2007), The Standard Handbook for Electrical Engineers (15th ed.), McGraw Hill, pp. 4–25, ISBN 978-0-07-144146-9
- ^ Brooks, Douglas G. (December 1998), "Fusing Current: When Traces Melt Without a Trace" (PDF), Printed Circuit Design, 15 (12): 53, archived from the original (PDF) on 2016-03-27, retrieved 2016-08-01
- ^ Preece, W. H. (1883), "On the Heating Effects of Electric Currents", Proceedings of the Royal Society (36): 464–471
- ^ Preece, W. H. (1887), "On the Heating Effects of Electric Currents", Proceedings of the Royal Society, II (43): 280–295
- ^ Preece, W. H. (1888), "On the Heating Effects of Electric Currents", Proceedings of the Royal Society, III (44): 109–111
- ^ a b Brooks, Douglas G.; Adam, Johannes (29 June 2015), "Who Were Preece and Onderdonk?", Printed Circuit Design and Fab
- ^ Stauffacher, E. R. (June 1928), "Short-time Current Carrying Capacity of Copper Wire" (PDF), General Electric Review, 31 (6)
- ^ SteelNavel.com Body Piercing Jewelry Size Reference — illustrating the different ways that size is measured on different kinds of jewelry
American wire gauge
View on GrokipediaDefinition and Standards
Core Definition
The American Wire Gauge (AWG) is a standardized system for denoting the diameters of round, solid, non-ferrous electrically conducting wires, such as those made from copper and aluminum.[4][5] In this system, gauge numbers run inversely to wire diameter: a higher AWG number corresponds to a smaller diameter, while a lower number indicates a thicker wire.[4] Predominantly used in North America, AWG standardizes conductor sizes to ensure consistency in electrical applications, facilitating interchangeability and compliance with safety codes.[5] AWG follows a logarithmic, geometrical progression in wire diameters, enabling predictable scaling across sizes.[4] Specifically, the diameter of successive larger wires (decreasing gauge number) increases by a constant ratio of approximately 1.123, resulting in each step toward a higher gauge number decreasing the diameter by about 10.9%.[4] This progression squares to a factor of roughly 1.26 for cross-sectional area, meaning the area increases by about 26% for each decrease in gauge number (or decreases by approximately 21% per increase).[4] The system spans from AWG 0000 (largest, 0.460 inches diameter) to AWG 40 and smaller (common fine sizes). The defining diameter ratio is 92:1 over 39 steps from AWG 0000 to AWG 36, with the progression extending beyond this range using the same constant ratio of approximately 1.123 per step.[4] AWG sizes directly influence key electrical properties, including resistance and current-carrying capacity (ampacity).[4] Resistance per unit length varies inversely with cross-sectional area, so smaller-diameter (higher AWG) wires exhibit higher resistance, leading to greater power loss for a given current.[4] Ampacity, determined by factors like heat dissipation and material, generally increases with larger diameters (lower AWG numbers), allowing thicker wires to safely carry more current without overheating.[4] These relations ensure AWG supports reliable design in wiring for power distribution, electronics, and telecommunications.[5]Standardization Bodies and History
The American Wire Gauge (AWG) system is primarily defined and maintained by ASTM International, formerly the American Society for Testing and Materials, through its Standard Specification B258, which establishes the nominal diameters and cross-sectional areas for solid round wires across AWG sizes used in electrical conductors.[6] This standard ensures consistency in wire dimensions for manufacturing and application in North American electrical systems. Originally approved in 1951 as B258-51T, it underwent significant revisions, including the extension of the gauge range and rounding of diameters, with the 1961 edition (B258-61) marking a key formalization that aligned with broader American standards.[1] The National Electrical Manufacturers Association (NEMA) supports AWG standardization by incorporating it into its specifications for wire and cable products, such as magnet wire in NEMA MW 1000, which applies AWG sizing alongside metric equivalents to facilitate production and interoperability.[7] Similarly, Underwriters Laboratories (UL) ensures compliance through rigorous testing and certification of wires meeting AWG dimensions, as outlined in its wire and cable guidelines, verifying safety and performance for listed products.[8] Formal adoption of AWG as a standardized system occurred in the early 20th century, with the American Institute of Electrical Engineers (AIEE) publishing the first comprehensive wire tables in 1912 via NBS Circular 31, establishing it as the basis for copper wire sizing in the United States.[1] Integration into electrical codes advanced in the 1920s, including updates to the National Electrical Code (NEC) that referenced AWG for conductor sizing to enhance safety in installations, with the second edition of the wire tables prefaced in 1925 reflecting these refinements.[1] As of 2025, AWG standards have seen no major revisions since the 2010s, with the latest ASTM B258 update in 2018 maintaining the core specifications without substantive changes to dimensions or ranges.[6] For global trade, AWG aligns with International Electrotechnical Commission (IEC) metrics through established equivalence tables converting AWG sizes to square millimeters, enabling compatibility in international supply chains while preserving its primary use in North America.[9]Historical Development
Origins in the 19th Century
The Brown & Sharpe wire gauge, which served as the foundation for the modern American Wire Gauge (AWG) system, was developed in 1857 by Joseph R. Brown, co-founder of the Brown & Sharpe Manufacturing Company in Providence, Rhode Island. This innovation emerged during a period of rapid expansion in American manufacturing, particularly in the production of precision tools and metalworking equipment, where Brown & Sharpe had established itself as a leader since its founding in 1833. The gauge was initially known as the Brown & Sharpe Standard and was designed to provide a uniform method for measuring wire diameters, addressing the fragmented practices among wire producers at the time.[1] The primary motivation for creating this gauge stemmed from the inconsistencies in wire sizing across manufacturers, which posed significant challenges for emerging industries such as telegraphy. In the mid-19th century, the rapid growth of telegraph networks demanded reliable copper wire for long-distance transmission, but varying gauges led to mismatches in equipment compatibility and performance issues in electrical conductivity.[1] Prior systems, like the Birmingham Wire Gauge, were inadequate for the precise needs of non-ferrous metals like copper, resulting in haphazard specifications that complicated procurement and installation for telegraph companies.[1] Brown's gauge aimed to rectify these problems by introducing a standardized scale tailored to copper wire, facilitating more efficient production and deployment in telegraph lines that were proliferating across the United States following Samuel Morse's demonstrations in the 1840s. At its core, the system employed a logarithmic progression based on successive wire-drawing operations, where each step reduces the diameter by a factor of approximately 92^{-1/39}, covering sizes from 0000 AWG (the coarsest) to 36 AWG (the finest in the original system). This structure mirrored the practical realities of wire manufacturing, where each draw through a die progressively reduced the wire's diameter in a geometric sequence, allowing for predictable scaling in cross-sectional area. The design prioritized non-ferrous metals, reflecting the company's expertise in working with materials like copper and brass, but it lacked broader applicability to ferrous wires and was not yet backed by any national regulatory framework.[1] These early constraints highlighted the gauge's origins as a practical tool for industrial standardization rather than a comprehensive universal measure.Evolution and Adoption
Following its establishment in the late 19th century, the American Wire Gauge (AWG) transitioned from a manufacturer-specific system to a widely accepted North American standard through regulatory integration and industrial expansion. The system was further formalized through early 20th-century publications by the National Bureau of Standards (now NIST) and refined in 1961 by the American Society for Testing and Materials (ASTM), which extended the range to 40 AWG and adjusted finer sizes for precision.[1][2] By the 1920s, as electrification spread to residential and commercial buildings, AWG was incorporated into the National Electrical Code (NEC) for specifying conductor sizes in building wiring applications.[10] The 1920 edition of the NEC, for instance, required stranded conductors for sizes No. 6 B&S gauge (equivalent to AWG) and larger in conduit work, reflecting growing emphasis on safe and standardized installations amid rising electricity demand.[10] This integration solidified during the 1930s and 1940s with NEC revisions supporting the era's infrastructure boom, including the widespread use of non-metallic sheathed cables like Romex for interior wiring. After World War II, AWG gained dominance in key U.S. industries amid postwar economic growth and technological innovation. In the automotive sector, standards from the Society of Automotive Engineers (SAE), such as J1128 for low-voltage primary cable, adopted AWG to specify wire sizes for vehicle electrical systems, enabling efficient production scaling.[11] Similarly, aerospace applications under military specifications like MIL-W-5086 leveraged AWG for lightweight, reliable wiring in aircraft and missiles, while the burgeoning electronics industry incorporated it into component manufacturing for consistency in circuit design.[12] This period marked AWG's shift to a de facto standard across these sectors, driven by the need for interoperable parts in mass production. Updates to AWG specifications from the 1970s through the 2000s addressed emerging needs in wire construction and performance. The rise of flexible cabling in electronics prompted refinements for stranded wire, with ASTM B258 extending nominal cross-sectional areas to include multi-strand configurations while maintaining compatibility with solid wire equivalents.[2] In high-frequency applications, such as RF cables for telecommunications, AWG sizing was adapted to account for skin effect and impedance, as seen in coaxial standards where center conductor diameters followed AWG but with adjusted stranding for signal integrity.[13] These evolutions, including revisions to ASTM B258 in 2002 and 2014, ensured AWG's relevance in compact, high-performance systems.[2]Calculation and Specifications
Diameter and Area Formulas
The American Wire Gauge (AWG) system defines wire diameters through a geometric progression that ensures consistent reduction ratios during manufacturing. The diameter in inches for a given gauge number (where ranges from -3 for 4/0 AWG to 36 for #36 AWG) is calculated using the formula where 0.005 inches is the reference diameter for AWG 36, and the exponent reflects the logarithmic scaling across 39 reduction steps from AWG 4/0 (diameter 0.460 inches) to AWG 36. These formulas are standardized in ASTM B258 and NIST Handbook 100.[2][1] This progression originates from the wire-drawing process, in which metal rods are pulled through a series of conical dies to reduce diameter incrementally; the total diameter ratio of 92 (0.460 / 0.005) is distributed evenly over 39 dies, yielding a per-step reduction factor of . For gauges beyond this range, such as AWG 0000 (n = -3) or finer sizes, the formula extends by adjusting accordingly (e.g., n = -(m-1) for m/0 gauges). The cross-sectional area , which is critical for electrical properties, follows directly from the diameter since . Substituting the diameter formula gives where is the reference area for AWG 36 ( square inches or 0.0127 mm²), and the denominator 19.5 arises from doubling the exponent for area (as area scales with the square of diameter). This results in the cross-sectional area approximately doubling every three gauge steps toward thicker wires (lower n), since for the area scaling factor over six diameter steps, but more precisely, the per-step area ratio is , requiring about three steps for a factor of 2. Areas are often expressed in circular mils (1 circular mil = area of a circle with 0.001-inch diameter, so circular mils, where is in inches) for convenience in electrical calculations. Electrical resistance of an AWG wire is inversely proportional to its cross-sectional area, given by , where is the material's resistivity, is the length, and is the area. For copper, the standard resistivity at 20°C is Ω·m (based on the International Annealed Copper Standard). Substituting the area formula yields , emphasizing how resistance increases exponentially with higher gauge numbers due to diminishing area.[3] This relation underpins AWG's utility in predicting wire performance without tabulated values.Rules of Thumb for Estimation
Practitioners often rely on simple heuristics to estimate wire properties in field settings without precise calculations. One common approximation for diameter involves noting that increasing the AWG number by 6 approximately halves the wire diameter in inches; conversely, decreasing by 6 doubles it. For instance, starting from 18 AWG at approximately 0.040 inches, 12 AWG would be roughly 0.080 inches. This stems from the geometric progression in the AWG system, where the diameter ratio per gauge step is about 1.1229, leading to a doubling every 6 steps.[14] For cross-sectional area, a useful rule is that every 3-gauge increase in AWG halves the area, while every 3-gauge decrease doubles it. This directly follows from the area being proportional to the square of the diameter, so the 6-gauge doubling in diameter equates to a 3-gauge quadrupling in area for larger wires (or halving for smaller). As an example, 10 AWG has about four times the area of 16 AWG, aiding quick assessments of current-carrying capacity or resistance.[14] Ampacity estimation for copper wires in power transmission can use the conservative guideline of 700 circular mils per ampere. For 14 AWG, with 4,110 circular mils, this suggests roughly 6 amps, though actual household branch circuits rate it at 15 amps under NEC limits for safety. This rule provides a safe margin for bundled or enclosed installations but underestimates for free-air or short runs.[14]Wire Size Data
Solid Wire Tables
The solid wire tables establish the baseline specifications for single-strand, round electrical conductors under the American Wire Gauge (AWG) system, serving as a reference for dimensions, cross-sectional areas, and material weights. These values are essential for ensuring compatibility in electrical applications, with diameters and areas standardized to facilitate precise manufacturing and usage. For copper conductors, weights are calculated using a density of 8.96 g/cm³ at 20°C, while aluminum equivalents follow the same geometric specifications but adjusted for a density of 2.70 g/cm³, yielding approximately 30.1% of the copper weight per unit length.[1] Diameters for solid wires are subject to manufacturing tolerances defined in relevant ASTM specifications. The following table presents key data for solid copper wire across the full AWG range from 0000 to 40, with representative examples highlighting the progression from large power conductors to ultra-fine wires; full datasets align with these standards. For instance, 12 AWG exemplifies a common building wire size with a diameter of 0.0808 inches (2.053 mm), cross-sectional area of 6,530 circular mils (3.31 mm²), and weight of 19.8 lb/1,000 ft (29.5 kg/km). Aluminum weights for the same sizes are derived proportionally, such as 6.0 lb/1,000 ft (8.9 kg/km) for 12 AWG.[15][1]| AWG | Diameter (inches / mm) | Area (circular mils / mm²) | Copper Weight (lb/1,000 ft / kg/km) | Aluminum Weight (lb/1,000 ft / kg/km) |
|---|---|---|---|---|
| 0000 | 0.4600 / 11.68 | 211,600 / 107.2 | 641 / 954 | 193 / 288 |
| 000 | 0.4096 / 10.41 | 167,800 / 85.0 | 508 / 756 | 153 / 228 |
| 00 | 0.3648 / 9.27 | 133,100 / 67.4 | 403 / 600 | 121 / 181 |
| 0 | 0.3249 / 8.25 | 105,600 / 53.5 | 319 / 475 | 96.2 / 143 |
| 1 | 0.2893 / 7.35 | 83,690 / 42.4 | 254 / 377 | 76.4 / 114 |
| 2 | 0.2576 / 6.54 | 66,360 / 33.6 | 201 / 299 | 60.5 / 90.1 |
| 4 | 0.2043 / 5.189 | 41,740 / 21.1 | 127 / 189 | 38.2 / 56.9 |
| 6 | 0.1620 / 4.115 | 26,240 / 13.3 | 79.7 / 119 | 24.0 / 35.7 |
| 8 | 0.1285 / 3.26 | 16,510 / 8.37 | 50.0 / 74.5 | 15.1 / 22.5 |
| 10 | 0.1019 / 2.59 | 10,380 / 5.26 | 31.4 / 46.8 | 9.46 / 14.1 |
| 12 | 0.0808 / 2.05 | 6,530 / 3.31 | 19.8 / 29.5 | 5.96 / 8.87 |
| 14 | 0.0641 / 1.63 | 4,110 / 2.08 | 12.4 / 18.5 | 3.75 / 5.58 |
| 16 | 0.0508 / 1.29 | 2,580 / 1.31 | 7.81 / 11.6 | 2.35 / 3.50 |
| 18 | 0.0403 / 1.02 | 1,620 / 0.82 | 4.92 / 7.32 | 1.48 / 2.20 |
| 20 | 0.0320 / 0.813 | 1,020 / 0.52 | 3.09 / 4.60 | 0.932 / 1.39 |
| 22 | 0.0253 / 0.643 | 642 / 0.32 | 1.95 / 2.90 | 0.587 / 0.874 |
| 24 | 0.0201 / 0.511 | 404 / 0.20 | 1.22 / 1.82 | 0.369 / 0.549 |
| 26 | 0.0159 / 0.404 | 254 / 0.13 | 0.769 / 1.14 | 0.232 / 0.345 |
| 28 | 0.0126 / 0.320 | 158.4 / 0.080 | 0.478 / 0.712 | 0.144 / 0.214 |
| 30 | 0.0100 / 0.254 | 100 / 0.051 | 0.301 / 0.448 | 0.0907 / 0.135 |
| 32 | 0.0080 / 0.203 | 63.0 / 0.032 | 0.189 / 0.282 | 0.0570 / 0.0849 |
| 34 | 0.0063 / 0.160 | 39.7 / 0.020 | 0.119 / 0.177 | 0.0359 / 0.0534 |
| 36 | 0.0050 / 0.127 | 25.0 / 0.013 | 0.075 / 0.112 | 0.0226 / 0.0336 |
| 38 | 0.0040 / 0.102 | 15.7 / 0.0080 | 0.047 / 0.070 | 0.0142 / 0.0211 |
| 40 | 0.0031 / 0.079 | 9.6 / 0.0049 | 0.030 / 0.045 | 0.0090 / 0.0134 |
Stranded Wire Tables
Stranded conductors in the American Wire Gauge (AWG) system are formed by twisting multiple smaller-diameter wires into a bundle, providing greater flexibility and resistance to fatigue from vibration or repeated bending while maintaining the same total copper cross-sectional area as a solid conductor of the same AWG size. The AWG designation for stranded wire is calculated based on the sum of the circular mils from all individual strands, ensuring equivalent conductivity to the solid wire baseline. Common configurations include 7-strand for fine-wire applications, featuring one central strand surrounded by six helically laid outer strands in a concentric pattern, and 19-strand for medium-wire sizes, which adds two additional layers around the 7-strand core for enhanced flexibility. These arrangements are standardized for copper conductors and extend up to larger sizes like 1000 kcmil, where configurations may include 37, 61, or more strands depending on the required flexibility.[17][18] Stranded wire tables specify key parameters such as the overall AWG size, number of strands, individual strand diameter, overall bundle diameter, and total circular mils to facilitate selection for specific applications. For instance, a 7-strand 18 AWG conductor typically uses 26 AWG strands with an overall diameter of approximately 0.048 inches, while a 19-strand version uses finer strands around 0.0100 inches in diameter for an overall diameter of about 0.045 inches. Due to the interstitial air gaps in stranding, the packing efficiency results in approximately 91% of the copper area relative to a solid wire of the same overall diameter, though the total copper content matches the solid AWG equivalent. Stranded wires of the same AWG have nearly identical DC resistance to solid wires, with a slight increase (~1-2%) due to the helical lay length of strands. Below is a representative table of common copper stranded configurations for sizes from 26 AWG to 10 AWG, based on concentric stranding.| AWG Size | Strands (Configuration) | Strand Diameter (inches) | Overall Diameter (inches) | Circular Mils (approx.) | DC Resistance (ohms/1000 ft, approx.) |
|---|---|---|---|---|---|
| 26 | 7 (7/34) | 0.0060 | 0.0189 | 278 | 36.5 |
| 26 | 19 (19/38) | 0.0040 | 0.0200 | 304 | 33.4 |
| 18 | 7 (7/26) | 0.0159 | 0.0480 | 1,778 | 5.82 |
| 18 | 19 (19/30) | 0.0100 | 0.0450 | 1,900 | 5.51 |
| 14 | 7 (7/22) | 0.0253 | 0.0760 | 4,494 | 2.25 |
| 14 | 19 (19/26) | 0.0159 | 0.0720 | 4,822 | 2.10 |
| 10 | 7 (7/18) | 0.0403 | 0.1210 | 11,368 | 0.92 |
| 10 | 19 (19/22) | 0.0253 | 0.1140 | 12,178 | 0.86 |
Nomenclature and Usage
Terms and Abbreviations
The American Wire Gauge (AWG) is the standard system for denoting the diameter of electrically conducting wire in North America, with gauge numbers inversely related to wire diameter.[2] A circular mil (cmil) is a unit of area equal to the cross-sectional area of a circle with a diameter of one mil (0.001 inch), commonly used to express the size of wire conductors in electrical engineering.[20] For larger conductors exceeding 4/0 AWG, sizes are denoted in kcmil (thousand circular mils), which replaced the older abbreviation MCM (also thousand circular mils) to avoid confusion with Roman numerals.[21] Common abbreviations in AWG contexts include THHN (thermoplastic-insulated, heat-resistant, nylon-coated) and THWN (thermoplastic-insulated, heat- and moisture-resistant, nylon-coated), which specify insulation types for building wires rated for various environments and directly reference AWG sizes for conductor dimensions.[22] Nomenclature in AWG has shifted from the earlier B&S gauge (Brown & Sharpe gauge), which is equivalent to modern AWG for wire sizing, to the standardized AWG designation.[1] For sizes between 1/0 and 4/0 AWG, the fractional notation uses "aught" in written form, such as 2/0 denoting "two aught." This notation is used for wire sizes larger than 1 AWG, where the number of zeros indicates increasing size; for example, 2/0 AWG is thicker than 2 AWG, with a diameter of approximately 0.365 inches (9.27 mm) and a cross-sectional area of 67.4 mm² (133,100 circular mils), compared to 2 AWG's diameter of 0.258 inches (6.54 mm) and area of 33.6 mm² (66,360 circular mils). This roughly doubles the conductive material in 2/0 AWG, enabling it to carry higher currents with lower resistance.[23][14] In USB Type-C cable specifications, 28 AWG is often used for high-speed data wire pairs in passive cable assemblies to ensure signal integrity.[24]Pronunciation and Regional Variations
In the electrical trade, American Wire Gauge (AWG) sizes are typically pronounced by stating the gauge number followed by "gauge" for sizes from 1 to 36, such as "ten gauge wire" for 10 AWG or "twenty-three gauge wire" for 23 AWG.[25] This convention simplifies verbal communication among professionals when specifying wire diameters for applications like residential wiring or industrial cabling. For larger wire sizes beyond 1 AWG, which are denoted with zeros (e.g., 1/0, 2/0), the term "aught" is commonly used to pronounce the zero, resulting in expressions like "one aught wire" for 1/0 AWG or "two aught wire" for 2/0 AWG.[23] Alternatively, some practitioners substitute "oh" for "aught," leading to pronunciations such as "two oh wire," though "aught" remains prevalent in technical contexts like welding and power distribution.[25] Within the electrical trade, AWG sizes are often referenced shorthand in relation to their typical ampacity ratings and uses, such as "fourteen gauge for lights" to indicate 14 AWG wire suitable for 15-amp lighting circuits under the National Electrical Code. Informal slang like "twelve wire" may also emerge in field discussions to denote 12 AWG without the full "gauge" suffix, streamlining conversations during installations. Regional differences in North America can influence these pronunciations subtly; for instance, "aught" is more traditional in the U.S. South, while Canadian electricians may favor "oh" in bilingual or metric-influenced settings, reflecting adaptations alongside millimeter-squared equivalents.Comparisons and Applications
International Gauge Comparisons
The American Wire Gauge (AWG) system, primarily used in North America, differs from international standards that often rely on metric measurements of cross-sectional area rather than diameter-based gauges. This can complicate cross-border applications in electrical and electronics industries, where precise equivalences are needed for compatibility, safety, and regulatory compliance. Conversions between AWG and metric units are approximate due to the logarithmic nature of AWG steps, but they enable practical substitutions in global manufacturing and installation.[9] For metric comparisons, AWG sizes are commonly converted to square millimeters (mm²) of cross-sectional area, which is the standard in most countries outside North America. For instance, 14 AWG corresponds to approximately 2.08 mm². The following table provides conversions for 10 common AWG sizes used in wiring and electronics, based on solid copper conductor data:| AWG | Diameter (mm) | Area (mm²) |
|---|---|---|
| 24 | 0.511 | 0.205 |
| 22 | 0.644 | 0.326 |
| 20 | 0.812 | 0.518 |
| 18 | 1.02 | 0.823 |
| 16 | 1.29 | 1.31 |
| 14 | 1.63 | 2.08 |
| 12 | 2.05 | 3.31 |
| 10 | 2.59 | 5.26 |
| 8 | 3.26 | 8.36 |
| 6 | 4.11 | 13.3 |
Practical Applications in Wiring
In electrical installations governed by the National Electrical Code (NEC), American Wire Gauge (AWG) sizes are primarily selected based on the allowable ampacity, which represents the maximum current a conductor can carry continuously without exceeding its insulation temperature rating. For copper conductors rated up to 2000 volts and not more than three current-carrying conductors in a raceway or cable, NEC Table 310.15(B)(16) provides the baseline ampacities. For instance, 12 AWG copper wire has an ampacity of 20 A at 60°C insulation (common for older thermoplastic insulations like TW), 25 A at 75°C (for types like THWN), and 30 A at 90°C (for cross-linked types like XHHW). However, overcurrent protection devices for such conductors are limited by NEC 240.4(D) to 15 A for 14 AWG, 20 A for 12 AWG, and 30 A for 10 AWG to prevent overheating.[29] Ampacities require derating adjustments for environmental and installation conditions to ensure safety and prevent insulation degradation. For ambient temperatures above 30°C (86°F), correction factors from NEC Table 310.15(B)(2)(a) are applied; at 45°C (113°F), the factor is 0.82 for 75°C-rated conductors, reducing the 12 AWG ampacity from 25 A to approximately 20.5 A. When more than three current-carrying conductors are bundled in a raceway or cable, adjustment factors from NEC Table 310.15(B)(3)(a) further reduce ampacity—for 4–6 conductors, an 80% factor applies, dropping the 12 AWG 75°C rating to 20 A. These derating rules are critical in applications like conduits with multiple circuits or in hot climates, where failure to adjust can lead to thermal runaway and fire hazards.[30] Beyond ampacity, wire selection considers voltage drop to maintain equipment performance and efficiency, with NEC Informational Notes in sections 210.19(A)(1) and 215.2(A)(1) recommending no more than 3% drop on branch circuits or feeders and 5% total from the service to the farthest outlet. For a 120 V branch circuit over 100 feet with a 15 A load, this may necessitate upsizing from 14 AWG (which could exceed 3% drop) to 12 AWG or larger to keep the drop under 3.6 V. Mechanical factors also influence choice; for example, in conduits, a minimum bend radius and pull strength require at least 14 AWG for non-metallic sheathed cable (NM) to avoid damage during installation.[31] Common applications span residential, vehicular, and low-power systems. In building wiring, 14 AWG copper is standard for 15 A lighting and receptacle circuits in bedrooms and general areas, while 12 AWG serves 20 A kitchen or bathroom outlets, and 6 AWG handles 60 A subpanels or dryers, all per NEC ampacity limits and circuit requirements in Article 210. For larger installations, 2 AWG copper wire, with an ampacity of 115 A at 75°C for THHN/THWN-2 insulation, is used for moderate loads such as 100 A subpanels or feeders to HVAC systems, while derating must be applied for conditions like high ambient temperatures or bundled conductors. Similarly, 2/0 AWG, offering 175 A at 75°C, is suited for high-power applications like service entrances, battery banks, and inverters in solar or backup power systems, where its approximately double cross-sectional area compared to 2 AWG reduces resistance and voltage drop but requires derating for installation factors to ensure safe operation. Automotive wiring typically uses 18–10 AWG stranded copper for flexibility; 18–16 AWG for signal lines to sensors and injectors, 14–12 AWG for lighting and power to accessories like radios, and 10–8 AWG for high-amperage grounds and starter circuits. In electronics, finer 22–30 AWG wires are employed for low-current signals in circuit boards, sensors, and control panels, where space constraints and minimal power (under 5 A) prioritize thin diameters over high ampacity.[32][33][14] Emerging applications in renewable energy, particularly solar photovoltaic (PV) systems, reflect 2023 NEC revisions in Article 690 that enhance conductor sizing for higher voltages and currents while improving safety. PV source circuits from modules commonly use 10 or 12 AWG PV wire for ampacities up to 30 A, but larger 6 AWG is required for output circuits in residential arrays exceeding 50 A to accommodate derating and voltage drops in long rooftop runs. These updates include refined grounding rules (690.43) for equipment bonding to mitigate shock risks and mandatory rapid shutdown labeling (690.12) for firefighter safety, addressing gaps in prior codes for utility-scale integrations.[34][35]| Example Ampacities for Copper Conductors (NEC Table 310.15(B)(16), 75°C Column) | |||
|---|---|---|---|
| AWG Size | Ampacity (A) | Typical Use Example | |
| 14 | 20 | 15 A lighting circuit | |
| 12 | 25 | 20 A receptacle circuit | |
| 10 | 35 | 30 A dryer circuit | |
| 6 | 65 | 60 A subpanel or PV output | |
| 2 | 115 | 100 A subpanel or HVAC feeder | |
| 2/0 | 175 | Service entrance or battery bank |
| Specification | #6 AWG | #4 AWG |
|---|---|---|
| Bare Conductor Diameter | ≈0.162 inches (4.115 mm) | ≈0.204 inches (5.189 mm) |
| Overall Diameter (THHN) | ≈0.25 inches (6.35 mm) | ≈0.32 inches (8.13 mm) |
| Ampacity (90°C, dry locations) | 75 A | 95 A |
| Ampacity (75°C) | 65 A | 85 A |
