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AWG Wire Gauge Calculator

Convert AWG to diameter/area, and estimate resistance and ampacity.

How it works

The American Wire Gauge (AWG) is a standardized wire gauge system. The cross-sectional area of each AWG size is exactly 20.5% larger than the previous AWG size.

The diameter of any AWG size can be calculated precisely using:

d (mm) = 0.127 × 92^((36 - AWG) / 39)

Resistance is calculated based on standard annealed copper at 20°C (ρ = 1.724×10⁻⁸ Ω·m).

Worked example

For standard 24 AWG hookup wire:

d = 0.127 × 92^((36 - 24) / 39) = 0.5106 mm

Area = π × (d/2)² = 0.2047 mm²

Resistance = 0.017241 / 0.2047 = 84.2 Ω/km.

Frequently Asked Questions

Are these ampacities absolute rules?

No, ampacity depends heavily on the insulation temperature rating (e.g. 60°C, 90°C), ambient temperature, and whether wires are bundled together. The estimates provided are conservative rules of thumb (10A/mm² for chassis wiring in free air, 3A/mm² for power transmission).

Does stranded wire have the same AWG as solid wire?

Yes, AWG specifies the total cross-sectional area of the copper. A stranded 24 AWG wire has the same copper area as a solid 24 AWG wire, but its overall physical diameter will be slightly larger due to the gaps between strands.

Sources

  • ASTM B258-02 (Standard for AWG).
  • National Electrical Code (NEC) ampacity references.

Results are for engineering assistance. Verify important calculations and check official datasheets. See the Engineering Disclaimer.