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Wire Gauge (AWG) Converter

Convert between American Wire Gauge (AWG) numbers and physical size — diameter in mm and cross-sectional area in mm² — using the ASTM B258 geometric progression.

Inputs
Diameter
0.812 mm
Cross-section area
0.5176 mm²
AWG number
20
Geometric conversion only — no current-carrying capacity (ampacity) is shown, since safe current depends on insulation, bundling, and ambient temperature (see NEC table 310.16 or your local code) rather than bare wire diameter.

Why AWG isn't a straight-line scale

AWG numbers don't step in equal amounts of size — each gauge is a fixed ratio smaller than the one before it, so the numbers form a geometric (not linear) sequence. Going up 3 AWG numbers roughly halves the cross-sectional area, which is why wire tables jump unevenly between adjacent gauges.

d = 0.127 · 92^((36 − n) / 39) A = (π / 4) · d²
  • n — AWG number (lower = thicker; 36 is the reference gauge)
  • d — diameter (mm)
  • A — cross-sectional area (mm²)

Common values

AWG number Diameter
2 6.544 mm
5 4.621 mm
10 2.588 mm
20 0.812 mm
30 0.255 mm

More detail

Why every 3 gauges roughly halves the area

The AWG scale is built so 92 is the ratio between the two gauges the scale is anchored to — 0000 (0.46 in) and 36 (0.005 in) — across 39 steps — a ratio of 92^(1/39) ≈ 1.123 in diameter per step. Because area scales with diameter squared, three steps multiply the area by roughly 1 / (92^(3/39))² ≈ 0.5, which is the rule of thumb electricians use: +3 AWG ≈ half the copper, −3 AWG ≈ double the copper.

Reading a spec sheet. If a datasheet gives you a bare diameter or cross-section instead of an AWG number, switch to "Diameter (mm) → AWG" above — the result won't always land on a whole number, since real wire is drawn to a nominal size that can sit slightly off the ideal AWG curve.

Frequently asked questions

What is AWG 20 wire in mm?

AWG 20 has a diameter of 0.127 × 92^((36−20)/39) ≈ 0.812 mm and a cross-sectional area of (π/4) × 0.812² ≈ 0.518 mm² — a size commonly used for signal wiring and low-current hookup wire.

A wire measures 1 mm across — what AWG is that closest to?

Switch to "Diameter (mm) → AWG", enter 1: n = 36 − 39·log₉₂(1 / 0.127) ≈ 18.2, so it sits closest to AWG 18 (18 has a slightly larger diameter, 1.024 mm).

Why does AWG 0000 ("4/0") have a negative number in this calculator?

AWG continues below 0 for the thickest standard gauges, traditionally written 0, 00, 000, 0000. This calculator represents them as 0, −1, −2, −3 so the same formula covers the whole range; 0000 (n = −3) works out to exactly 0.127 × 92 = 11.684 mm.

Does a thicker AWG number mean a thicker wire?

No — it's reversed. Lower AWG numbers are thicker wire; AWG 10 carries far more current than AWG 24. Going from AWG 24 to AWG 21 (a smaller number) roughly doubles the cross-sectional area for the same reason three gauges ≈ a 2× area change.

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