AWG 1 wire size, resistance and weight calculator
AWG 1 is defined by the gauge formula, not by a table: the diameter is 0.127 mm times 92 raised to the power (36 - n) / 39. Everything else follows from that and the conductor resistivity.
A rough guide: 3 to 5 A/mm2 for chassis wiring, under 2 for long runs in conduit.
- Diameter
- 7.348 14
- Area in circular mils
- 83.6927
- Resistance of that length
- 0.040 653 ohm
- Resistance per kilometre
- 0.406 53 ohm/km
- Resistance per 1000 feet
- 0.123 91 ohm
- Weight of that length
- 37.9973
- Current at the chosen density
- 169.63 A
- Turns per centimetre, close-wound
- 1.361
Show the working
- Length of wire = 100
- Conductor = 1.724e-8
- Conductor temperature = 20
- Conductor density = 8960
- Design current density = 4
- Diameter = 0.127 * 92^((36 - (1)) / 39) = 7.348 14
- diameter_in = 7.348 14 / 25.4 = 0.289 297
- Cross-sectional area = pi * 7.348 14^2 / 4 = 42.4077
- Area in circular mils = 0.289 297^2 * 1000 = 83.6927
- r_per_m_20 = 1.724e-8 / (42.4077 * 1e-6) = 0.000 406 53
- r_per_m = 0.000 406 53 * (1 + 0.00393 * (20 - 20)) = 0.000 406 53
- Resistance of that length = 0.000 406 53 * 100 = 0.040 653
- Resistance per kilometre = 0.000 406 53 * 1000 = 0.406 53
- Resistance per 1000 feet = 0.000 406 53 * 304.8 = 0.123 91
- Weight of that length = 42.4077 * 1e-6 * 100 * 8960 = 37.9973
- Current at the chosen density = 42.4077 * 4 = 169.631
- Turns per centimetre, close-wound = 7.348 14 > 0 ? 10 / 7.348 14 : 0 = 1.360 89
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
Scenarios & local history
Compare a saved scenario
Recent calculations
The formula
- diameter in mm = 0.127 x 92^((36 - n)/39)
- area = pi d^2 / 4
- resistance = rho x length / area
- temperature correction: R(T) = R(20) x (1 + 0.00393 (T - 20)) for copper
The gauge formula is exact: 36 AWG is 0.127 mm and 0000 AWG is 11.684 mm, with 39 steps between them in a geometric progression of ratio 92^(1/39).
The current figure is a design rule of thumb from current density, not an ampacity rating. Real ampacity depends on insulation temperature rating, bundling, ambient temperature and the wiring code in force.
Aluminium conductors of the same gauge carry about 61% of the current of copper for the same heating.
Frequently asked
What is the diameter of AWG 1 wire?
It follows from the gauge definition: 0.127 mm x 92^((36 - n)/39). The calculator shows the result in millimetres and inches.
Why does the wire gauge number go down as the wire gets thicker?
The number counts drawing operations. Each pass through a die makes the wire thinner and adds one to the gauge, so a high number means a thin wire.