AWG to mm²
The AWG scale is a geometric progression: each gauge step is a fixed ratio of diameters (92^(1/39) ≈ 1.123), which is why the numbers are small for thick wire and large for thin wire. The exact formula — d(mm) = 0.127 × 92^((36−AWG)/39) — comes from the 1857 definition: 0000 AWG (4/0) is 0.46 in diameter and 36 AWG is 0.005 in, with 39 logarithmic steps between. The area in mm² is π/4 × d². Every ampacity table, wire connector, and terminal spec eventually needs this conversion when US and metric hardware meet.
mm² = π/4 × (0.127 × 92^((36 − AWG)/39))²
12 AWG = 3.31 mm² · 14 AWG = 2.08 mm² · 10 AWG = 5.26 mm²
The formula reproduces the 1857 AWG definition exactly.
Common AWG to mm² Values
| AWG | mm² | Context | |
|---|---|---|---|
| 10 AWG | — | 5.26 mm² | 30 A circuits, large feeders. |
| 12 AWG | — | 3.31 mm² | 15–20 A household circuits. |
| 14 AWG | — | 2.08 mm² | 15 A lighting circuits. |
| 16 AWG | — | 1.31 mm² | Extension cords. |
| 18 AWG | — | 0.82 mm² | Lamp cords, low current. |
Engineering Context
AWG-to-mm² is the wire-sizing bridge between the electric hub and the metric wire world. The current ratings connect to watts to amps — a 15 A breaker is what 12 AWG protects at 120 V — and the reverse conversion lives on mm² to AWG. Voltage-drop calculations on the same wire use the ohms to volts page.
More: mm² to AWG · W to A · Ω to V · Electric Hub
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Frequently Asked Questions
What is 12 AWG wire in mm²?
Exactly 3.31 mm². It is the standard US household circuit wire, rated for 15–20 amps at 120 V depending on insulation and installation.
How does the AWG numbering work?
Larger number = thinner wire. Each gauge step multiplies the diameter by 92^(1/39) ≈ 1.123, and every three steps roughly halves the area. 10 AWG (5.26 mm²) is double the area of 13 AWG.
Why do US and metric wire specs use different units?
Same path dependence as every unit pair: the US built its electrical infrastructure on AWG (from the 1857 Brown & Sharpe standard), while the metric world sizes by cross-sectional area in mm². Both are exact; only the label differs.