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 92, and there are 40 gauge sizes from No. 36 to No. 0000, or 39 steps. Using this common ratio, wire gauge sizes vary geometrically according to the following formula: The diameter of a No. n AWG wire is
d_n = 0.005~\mathrm{inch} \times 92 ^ \frac{36-n}{39}
or
d_n = 0.005~\mathrm{mm} \times 25.4 \times 92 ^ \frac{36-n}{39}
the gauge can be calculated from the diameter using
n=-39\log_{92} \left( \frac{d_{n}}{0.005~\mathrm{inch}} \right)+36 [3]
and the cross-section area is
A_n = \frac{\pi}{4} d_n^2 = 0.000019635~\mathrm{inch}^2 \times 92 ^ \frac{36-n}{19.5}.
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.
The ASTM B 258-02 standard defines the ratio between successive sizes to be the 39th root of 92, or approximately 1.1229322.[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.
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According to this formula the 24 gauge is thinner to 22gauge.
Answered by
Point
, an ibibo Master,
at
5:19 PM on November 04, 2008
