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 By definition, 36 AWG is 0.005 inches in diameter, and 0000 AWG is 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., and ) have diameters whose ratio is \sqrt [39]{92} (approximately ), while for gauges two steps apart (e.g., , , and ), the ratio of to is about 2 ≈ . Similarly for gauges
n steps apart, the diameter ratio of the first to last gauges is about
n. The diameter of an AWG wire is determined according to the following formula: :d_n = 0.005~\mathrm{inch} \times 92^{(36 - n)/39} = 0.127~\mathrm{mm} \times 92^{(36 - n)/39} Where is the AWG size for gauges from 36 to 0. For larger gauges for 00, for 000, and for 0000. or equivalently: :d_n = e^{-1.12436 - 0.11594n}\ \mathrm{inch} = e^{2.1104 - 0.11594n}\ \mathrm{mm} The gauge can be calculated from the diameter using :n = -39\log_{92} \left( \frac{d_n}{0.005~\mathrm{inch}} \right) + 36 = -39\log_{92} \left( \frac{d_n}{0.127~\mathrm{mm}} \right) + 36 and the cross-section area is :A_n = \frac{\pi}{4} d_n^2 \approx 0.000019635~\mathrm{inch}^2 \times 92^{(36 - n)/19.5} \approx 0.012668~\mathrm{mm}^2 \times 92^{(36 - n)/19.5}. 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 . 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 /0 AWG wire, use in the above formulas. For instance, for 0000 AWG or 4/0 AWG, use .
Rules of thumb The sixth power of \sqrt[39]{92} is very close to 2, 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 for 10 AWG, for 20 AWG, for 30 AWG, and so on. For an arbitrary gauge
n, it is approximately 10
n/10 Ω per . • 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 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 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. 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 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==