WATFULMake every watt count.Browse calculators
METHOD exact ASTM B258 gauge formulaSTATUS v1 calculatorHow we calculateTransparent formula · editable assumptions · shareable result

AWG ↔ mm² Converter

Convert American Wire Gauge to metric cross-sections and back — with the safe next-size-up substitute, not just the raw number.

Inputs

Results update as you type

Result

10 AWG equals
5.26 mm²
Closest metric size that is at least as thick: 6 mm²
Substitute upward, never down
Standard sizes rarely match exactly — pick the next size with equal or larger area.
Ampacity still depends on insulation and installation — check the datasheet.
Area (mm²) = 0.012668 × 92^((36 − AWG) ÷ 19.5)
10 AWG → 5.26 mm²
What this assumes
  • Solid-conductor areas per the ASTM B258 gauge formula.
  • Stranded cables of the same nominal size have the same conductive area.
  • 1/0…4/0 are the sizes above 1 AWG (larger number of zeros = thicker).

Common pairs

AWGExactMetric size up
14 AWG2.08 mm²2.5 mm²
12 AWG3.31 mm²4 mm²
10 AWG5.26 mm²6 mm²
8 AWG8.37 mm²10 mm²
6 AWG13.30 mm²16 mm²
4 AWG21.15 mm²25 mm²
2 AWG33.63 mm²35 mm²
1/0 AWG53.48 mm²70 mm²
4/0 AWG107.22 mm²> 95 mm²

Click a row to load it into the converter.

Questions

Why do bigger wires have smaller AWG numbers?

The gauge number counts drawing-die passes — more passes make thinner wire. Above 1 AWG the scale continues as 1/0, 2/0, 3/0, 4/0.

Is a metric size with the same area a safe swap?

For conductivity, yes — equal or larger area is equal or better. Ampacity ratings still differ between standards and insulation types, so check those separately.

Handy rules of thumb?

Every 3 gauge steps roughly doubles the area; every 10 steps is ×10. 10 AWG is close to 5.3 mm², and 6 mm² sits between 10 and 8 AWG.

How the conversion works

AWG is a logarithmic scale defined by ASTM B258: the conductor area in mm² is 0.012668 × 92^((36 − gauge) ÷ 19.5). That is the exact formula this converter uses — no lookup-table rounding. Because both systems use standard discrete sizes, the practical question is rarely "what is the exact equivalent" but "which size do I actually buy" — and the safe answer is always the next standard size with equal or larger area, which the converter shows alongside the exact value.

What the conversion does not cover

Equal copper area means equal conductivity, but not equal paperwork: ampacity ratings differ between the North American NEC tables and IEC installation rules, and depend on insulation temperature class, bundling and ambient conditions. Use this converter to translate sizes, then verify current ratings against the applicable standard — and for sizing a DC run from scratch, start with the Cable Voltage Drop calculator instead.

Methodology

The converter UI, the pairs table and the displayed formula all call the same conversion function, and the substitute recommendations round upward only.

Sources for the default assumptions
  • AWG area formula and gauge definition — ASTM B258 standard for wire gauge sizes
  • Metric standard cross-sections (1.5–95 mm²) — IEC 60228 conductor classes
  • Ampacity must be checked separately per installation — NEC ampacity tables (North America) and IEC installation rules

Assumptions last reviewed on 27 August 2026. If a source disagrees with your battery or equipment datasheet, trust the datasheet.

Frequently asked questions

Why do bigger wires have smaller AWG numbers?

The gauge number historically counts wire-drawing passes — more passes produce thinner wire. Sizes thicker than 1 AWG continue as 1/0, 2/0, 3/0 and 4/0.

Is a metric cable with the same area a safe substitute for an AWG size?

For conductivity yes — equal or larger copper area conducts equally or better, which is why the converter recommends the next standard size up. Ampacity ratings still depend on insulation and installation rules, so check those separately.

What are the useful rules of thumb?

Every 3 gauge steps roughly doubles the area, every 10 steps multiplies it by ten. 10 AWG ≈ 5.3 mm² is a handy anchor point.

Formula visibleThe equation is not a black box.
Assumptions editableExact values shown next to substitutes.
One calculation sourceUI, examples and formula use the same model.
No account requiredCore tools work without signing up.