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American wire gauge : ウィキペディア英語版
American wire gauge

American wire gauge (AWG), also known as the Brown & Sharpe wire gauge, is a 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.〔 The cross-sectional area of each gauge is an important factor for determining its current-carrying capacity.
Increasing gauge numbers denote decreasing wire diameters, which is similar to many other non-metric gauging systems such as SWG. 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, 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.〔(SteelNavel.com Body Piercing Jewelry Size Reference — illustrating the different ways that size is measured on different kinds of jewelry )〕
==Formula==
By definition, No. 36 AWG is 0.005 inches in diameter, and No. 0000 is 0.46 inches in diameter. The ratio of these diameters is 1:92, and there are 40 gauge sizes from No. 36 to No. 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 & B ) have diameters in the ratio (dia. B ÷ dia. A) of \sqrt () (approximately 1.12293), while for gauges two steps apart (e.g. A, B & C), the ratio of the C to A is about 1.122932 = 1.26098. The diameter of a No. ''n'' AWG wire is determined, for gauges smaller than 00 (36 to 0), according to the following formula:
:d_n = 0.005~\mathrm \times 92 ^ \frac = 0.127~\mathrm \times 92 ^ \frac
(see below for gauges larger than No. 0 (i.e. No. 00, No. 000, No. 0000 ).)
or equivalently
:d_n = e^ \ \mathrm = e^ \ \mathrm
The gauge can be calculated from the diameter using 〔The logarithm to the base 92 can be computed using any other logarithm, such as common or natural logarithm, using log92''x'' = (log ''x'')/(log 92).〕
:n = -39\log_ \left( \frac} \right)+36 = -39\log_ \left( \frac} \right)+36
and the cross-section area is
:A_n = \frac d_n^2 = 0.000019635~\mathrm^2 \times 92 ^ \frac = 0.012668~\mathrm^2 \times 92 ^ \frac,
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.〔ASTM Standard B 258-02, page 4〕 ASTM B 258-02 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 No. 44 AWG, and 0.00001 inches (0.01 mils) for wires No. 45 AWG and smaller.
Sizes with multiple zeros are successively larger than No. 0 and can be denoted using "''number of zeros''/0", for example 4/0 for 0000. For an ''m''/0 AWG wire, use ''n'' = −(''m''−1) = 1−''m'' in the above formulas. For instance, for No. 0000 or 4/0, use n = −3.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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