AWG Wire Gauge to mm² Calculator

Convert between AWG wire sizes and metric diameter or cross-sectional area, and see the copper wire's resistance per metre.

Diameter
Cross-section
Copper resistance

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How it works

AWG is a logarithmic scale: every 6 gauges halves the diameter, and a smaller AWG number means a thicker wire. Gauges 0 to 0000 (written 1/0 to 4/0) are entered here as 0, −1, −2 and −3.

Resistance per metre uses annealed copper at 20 °C (1.724 × 10⁻⁸ Ω·m). Use it to estimate voltage drop: multiply by the total wire length, there and back.

d (mm) = 0.127 × 92^((36 − AWG) / 39)
A (mm²) = π/4 × d²
R (Ω/m) = 1.724e-8 / A(m²)

Worked example

18 AWG has a diameter of 0.127 × 92^(18/39) = 1.024 mm, an area of 0.823 mm² and about 20.9 mΩ per metre, so a 5 m run there and back (10 m) has roughly 0.21 Ω.

Frequently asked questions

Is AWG the same as SWG?

No. SWG (Standard Wire Gauge) is an older British system with different diameters. 18 SWG is 1.22 mm, while 18 AWG is 1.02 mm.

Can I choose wire size from this alone?

Area and resistance are part of it. Current rating also depends on insulation, bundling, ambient temperature and local wiring regulations, so check the cable manufacturer's tables for mains wiring.

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