CalcMate

Wire Gauge Converter (AWG to mm²)

Turn an AWG number into the numbers that decide a job: diameter in mm and inches, area in mm² and circular mils, resistance per 1,000 ft for copper and aluminum, and the ampacities of NEC 310.16. The other tab goes the other way, from a metric cable size to the closest gauge.

Diameter2.052512 AWG
Diameter0.0808inches
Area3.3088mm²
Circular mils cmil6,530
Copper resistance Ω per 1,000 ft at 75 °C1.9755
Aluminum resistance Ω per 1,000 ft at 75 °C3.2466
AmpacityNEC 310.16, not more than three current-carrying conductors at 30 °C ambient: 12 AWG is 20 A at 60 °C and 25 A at 75 °C in copper; in aluminum 15 A at 60 °C and 20 A at 75 °C. Aiming a branch circuit at the 75 °C column? 240.4(D) still caps 14, 12 and 10 AWG at 15 A, 20 A and 30 A.
Metric equivalentsClosest IEC cable sizes: 2.5 mm² (13 AWG) and 4 mm² (11 AWG).
Substituting your numbersd = 0.005 in × 92^(24 ÷ 39) = 0.0808 in = 2.0525 mm; area = 6,530 cmil = 3.309 mm²; R = 1,000 × 12.9 ÷ 6,530 = 1.9755 Ω per 1,000 ft of copper

Diameters follow the AWG definition (ASTM B258): d = 0.005 in × 92^((36 − n) ÷ 39). Circular mils for 14 AWG to 4/0 are the nominal areas NEC Chapter 9 Table 8 prints, and the resistance columns use the Table 8 DC constants at 75 °C (12.9 Ω·cmil/ft for copper, 21.2 for aluminum), so copper values match Table 8 to the precision it prints — about 1% of published tables elsewhere. Ampacities are the 14–4/0 subset of NEC 310.16 for not more than three current-carrying conductors at 30 °C. Amperage depends on insulation rating, ambient temperature, conduit fill and terminal ratings: your local code and the manufacturer data always govern the final size.

Formula and calculation

dAWG=0.005 in×9236−n39cmil=(dmil)2R=1,000×Kcmil, K=12.9 (Cu)/21.2 (Al) Ω⋅cmil/ft\begin{gathered}d_{\text{AWG}} = 0.005\ \text{in} \times 92^{\frac{36 - n}{39}}\\[6pt]\text{cmil} = (d_{\text{mil}})^2\\[6pt]R = \dfrac{1{,}000 \times K}{\text{cmil}}\text{, } K = 12.9\ \text{(Cu)} / 21.2\ \text{(Al)}\ \Omega \cdot \text{cmil/ft}\end{gathered}
n is the gauge number with 1/0 = 0, 2/0 = −1, 3/0 = −2 and 4/0 = −3; 36 AWG is exactly 0.005 in by definition. The constant 92 and the 39 steps are what make a larger gauge number thinner wire, with each 3-gauge step doubling or halving the area. Circular mils for 14 AWG to 4/0 are the nominal areas from NEC Chapter 9, Table 8, and K is derived from the same table's 75 °C DC resistance column — the same constants behind the voltage drop calculator. mm² follows from 1 cmil = 0.0005067 mm². Ampacities are the 14–4/0 subset of NEC 310.16 (≤3 current-carrying conductors, 30 °C ambient); codes, insulations and terminal ratings decide the real number, so check the edition your inspector uses.

Worked example

12 AWG — the standard 20 A household circuit conductor — is 2.0525 mm across, 3.3088 mm² of copper and 6,530 circular mils. Its copper resistance is 1.9755 Ω per 1,000 ft, which is why long runs of it lose voltage. Switch to the mm² tab and a 2.5 mm² metric cable comes back as 13 AWG.

Reading an AWG number

AWG runs backwards to intuition: the bigger the number, the thinner the wire. 4/0 (also written 0000) is the largest size on this page and 40 AWG the smallest, a range of about 92 to 1 in diameter. The steps are geometric — every 3-gauge change doubles or halves the cross-section and therefore halves or doubles the resistance. That is why two 12 AWG conductors in parallel carry roughly the copper of one 9 AWG, and why going from 14 AWG to 12 AWG — a change of just two numbers on paper — buys you 59% more copper area.

Copper, aluminum and the temperature columns

The two resistance and two ampacity columns here are not decoration. Aluminum has about 61% of copper's conductivity, so an aluminum conductor needs roughly two AWG sizes more than copper to carry the same current, and its terminations must be listed for aluminum (AL/CU lugs and antioxidant compound). The 60 °C and 75 °C columns come from the insulation and the termination ratings — most breakers and lugs are 75 °C, so the 75 °C column governs most branch circuits — and both assume a 30 °C ambient with no more than three current-carrying conductors in the raceway. Hot attics and bundled conductors derate from there.

What the results mean

Diameter
The conductor diameter in millimetres, from the AWG definition (ASTM B258). In mm² mode it is the diameter of the nearest AWG size, named in the label.
Diameter
The same diameter in inches — the unit the AWG standard is defined in (36 AWG is exactly 0.005 in).
Area
Cross-sectional area in square millimetres. A metric cable size like 2.5 mm² sits between two AWG sizes, which is why the answer is 'closest'.
Circular mils
Area in circular mils — the square of the diameter in mils (thousandths of an inch), the unit NEC tables use. For 14 AWG to 4/0 this is the nominal area printed in Chapter 9, Table 8.
Copper resistance
Copper DC resistance per 1,000 ft at 75 °C, from the Table 8 constants (12.9 Ω·cmil/ft), so it matches published Table 8 values to the precision they print.
Aluminum resistance
Aluminum resistance per 1,000 ft at 75 °C (21.2 Ω·cmil/ft). Aluminum conducts about 61% as well as copper, so its number is about 1.64× higher for the same size.
Ampacity
Current the size may carry under NEC 310.16 assumptions, or a note saying why no table value applies — below 14 AWG and above 4/0 the code uses other tables.
Metric equivalents
The sizes either side: metric equivalents of an AWG size, or the two neighbours of the closest AWG for a mm² figure, plus the kcmil alternative above 4/0.
Substituting your numbers
The diameter, area and resistance arithmetic with your numbers substituted, so the result can be checked by hand.

Frequently asked questions

How do I convert mm² to AWG?

Match by cross-section: 2.5 mm² is closest to 13 AWG (2.624 mm²), 4 mm² to 11 AWG, 6 mm² to 9 AWG and 16 mm² to 5 AWG. The mm² tab shows the nearest size and the two either side. Above about 107 mm² — 4/0 AWG — conductors are traded by kcmil instead, like 250 or 300 kcmil.

What does AWG mean?

American Wire Gauge, the US conductor standard defined by ASTM B258: diameter = 0.005 in × 92^((36 − n) ÷ 39), where n is the gauge number. A larger number is thinner wire, so 12 AWG is 2.05 mm across while 24 AWG is 0.51 mm. The range here runs from 4/0 (0000), the largest, down to 40 AWG.

How many amps can 12 AWG carry?

NEC 310.16 lists 12 AWG copper at 20 A with 60 °C insulation and 25 A with 75 °C, and 240.4(D) caps 12 AWG branch circuits at 20 A regardless. Those numbers assume no more than three current-carrying conductors in a 30 °C ambient — bundled wires in a hot attic carry less, so derate with the code tables before deciding.

What is a circular mil?

A unit of conductor area built for round wires: square the diameter in mils (thousandths of an inch) and you have the circular mils. A 12 AWG conductor is 80.8 mils across, so 80.8² = 6,530 cmil, which is the 3.309 mm² printed next to it. NEC resistance tables are all in circular mils, which is why the wire tables on this site use them.

Should I use copper or aluminum?

Aluminum costs less and weighs about a third of copper for the same current, so it dominates big service feeders and utility lines. It conducts roughly 61% as well, which is why the ampacity table shows an aluminum size or two behind the copper one, and it needs terminations listed for aluminum. Small branch circuits are almost always copper.