Formula & Mathematical Methodology: AWG Wire ↔ mm & mm² Formula
- Awg Gauge Number: AWG wire gauge number (e.g., 14, 12, 10, 8, 4, 0 for 1/0).
Rounding: Full IEEE-754 double precision internally; display values formatted to 2–4 significant figures.
Calculate exact diameter (mm), area (mm²), and copper Ω/km from any AWG wire size.
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| AWG Size | Diameter (mm) | Area (mm²) | Copper Ω / km |
|---|---|---|---|
| 18 AWG | 1.02 mm | 0.82 mm² | 20.95 Ω/km |
| 16 AWG | 1.29 mm | 1.31 mm² | 13.17 Ω/km |
| 14 AWG | 1.63 mm | 2.08 mm² | 8.29 Ω/km |
| 12 AWG | 2.05 mm | 3.31 mm² | 5.21 Ω/km |
| 10 AWG | 2.59 mm | 5.26 mm² | 3.28 Ω/km |
| 8 AWG | 3.26 mm | 8.37 mm² | 2.06 Ω/km |
| 6 AWG | 4.12 mm | 13.3 mm² | 1.3 Ω/km |
Rounding: Full IEEE-754 double precision internally; display values formatted to 2–4 significant figures.
Convert ASTM B258 American Wire Gauge (AWG) number into exact conductor diameter (mm and inches), cross-sectional area (mm² and circular mils), and 20 °C DC copper resistance (Ω/km).
American Wire Gauge (AWG) to Diameter (mm / inch) & Area (mm² / kcmil) Converter uses the verified equation: d_inch = 0.005 × 92^((36 − AWG) / 39); d_mm = d_inch × 25.4; Area_mm² = (π / 4) × d_mm². Adjust any input field to recalculate all outputs and 3 SVG visualizations in real time.
Each field displays its exact unit label (AWG) so results remain dimensionally consistent.
Yes. Click "🎯 Goal Seek" in the results toolbar to solve backwards for any numeric input parameter.
Calculate exact diameter (mm), area (mm²), and copper Ω/km from any AWG wire size.
The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.
With the default values shown, AWG Conductor Diameter & Area is 2.053 mm (3.31 mm²). The calculation follows AWG Wire ↔ mm & mm² Formula; the formula and variable definitions above show how the inputs combine.
One-input check: With the other defaults held constant, changing Awg Gauge Number from 12 AWG to 13 AWG changes AWG Conductor Diameter & Area from 2.053 mm (3.31 mm²) to 1.828 mm (2.62 mm²). This is a comparison inside the calculator's stated model, not a prediction.
Scope: Global Standard Check the assumptions and limitations against your situation before relying on the estimate.
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