nrtechstudio.com · wire tools

Wire Gauge Calculator

A free wire gauge calculator and AWG to mm converter: convert American Wire Gauge to millimeters, mm², inches and circular mils - and back. Browse the full searchable 0000–40 wire size table with NEC ampacity, or use the wire-size advisor that combines ampacity with a 3% voltage-drop check.

🔒 100% client-side - data never leaves your browser ⚡ Wire gauge 0000–40 📐 mm / mm² / inch / circular mils 📏 Wire-size advisor

AWG ↔ mm converter

d d = 0.127 × 92^((36−n)/39) mm² = π/4 × d² n = AWG number

AWG → metric

Shows diameter in mm and inch (AWG to inch), cross-section, circular mils, resistance and ampacity.

Type 12, 4/0, 0000, 10, 40 …

Metric → AWG

Reverse conversion: mm to AWG or mm² to AWG: type a diameter or cross-section to find the nearest standard gauge.

Full AWG table: 0000 to 40

Every standard AWG size from 4/0 AWG (0000) down to 40 AWG, computed from the formula, with NEC Table 310.16 copper ampacities (60 / 75 / 90 °C columns). Gauges 16–40 are not rated for branch-circuit ampacity - shown as "-".

AWG⌀ mm⌀ inch mm²circular milsΩ/km @20 °C A 60 °CA 75 °CA 90 °C
About the ampacity columns Values are NEC Table 310.16 for copper at 30 °C ambient with ≤3 current-carrying conductors. Small-conductor rule NEC 240.4(D) still caps overcurrent protection at 15 A (14 AWG), 20 A (12 AWG), 30 A (10 AWG). With 60 °C terminations, use the 60 °C column regardless of the wire's rating.

Wire-size advisor

Tell it your load and run length: for example a 12 V solar, car audio, or low-voltage lighting run. It picks the thinnest AWG that satisfies both NEC ampacity and ≤ 3% voltage drop (round-trip, copper, resistance corrected to the selected temperature column).

⚠ Honest scope Advisor math is DC-resistive; for AC the same formula holds for resistive loads. For 3-phase systems or a pure voltage-drop analysis (3%/5% verdicts, max length), use the dedicated tab in voltage-converter. Ampacity assumes 30 °C ambient and ≤3 conductors - derating, conduit fill and local code are not modeled. Confirm final sizing with a licensed electrician.

Worked examples (hand-verified)

1

12 AWG → mm and mm²

d = 0.127 × 92(36−12)/39 = 0.127 × 920.6154 = 2.053 mm (2.053 / 25.4 = 0.0808 in).
Area = π/4 × 2.053² = 3.31 mm² (6,530 circular mils). Resistance = 17.241 / 3.31 = 5.21 Ω/km at 20 °C.
NEC ampacity: 20 / 25 / 30 A (60 / 75 / 90 °C); NEC 240.4(D) caps protection at 20 A.

2

4.0 mm² → AWG

d = √(4 × 4.0 / π) = 2.257 mm → nearest standard size is 11 AWG (2.304 mm, 4.17 mm²).
If the installation needs at least 4 mm² of copper, choose 11 AWG or go one thicker to 10 AWG (5.26 mm²).

3

Wire for a 30 A, 12 V, 15 m (one-way) run

Ampacity alone allows 10 AWG (35 A at 75 °C), but the 3% drop rule dominates at 12 V:
1 AWG → drop = 2 × 30 × 0.015 km × 0.494 Ω/km = 0.445 V = 3.71% ✗
1/0 AWG → drop = 2 × 30 × 0.015 km × 0.392 Ω/km = 0.353 V = 2.94% ✓, ampacity 150 A ≥ 30 A.
Recommendation: 1/0 AWG. (Resistance uses 75 °C copper: 5.21 Ω/km at 20 °C × 1.216.)

4

What size wire do I need for 40 amps?

NEC Table 310.16 (copper): 8 AWG = 40 / 50 / 55 A at 60 / 75 / 90 °C, so with standard 75 °C terminations 8 AWG carries 50 A and a 40 A breaker protects it correctly. One size thinner fails: 10 AWG is only 35 A at 75 °C. 8 AWG = 3.264 mm diameter (8.37 mm², 16,510 circular mils).
For aluminum, step up to 6 AWG (40 / 50 / 55 A). For long runs, check voltage drop in the advisor above - drop often forces thicker wire than ampacity alone.

Methodology

The AWG formula

d(mm) = 0.127 × 92((36 − n) / 39)   ·   A(mm²) = π/4 × d²

The AWG scale is geometric: the ratio of diameters of successive gauges is the 39th root of 92 (≈ 1.1229), because 36-gauge wire is defined as 0.0050 in (0.127 mm) and 4/0 as 0.4600 in. Cross-section approximately doubles every 3 gauges (exactly 926/39 ≈ 2.005) and grows ≈ 10× every 10 gauges. Reverse conversion solves for n: n ≈ 36 − 39·log(d/0.127)/log(92), rounded to the nearest integer gauge.

Resistance and temperature

Resistance per km = 17.241 / mm² (from copper resistivity 1.7241×10−8 Ω·m at 20 °C). At operating temperature T: R(T) = R20 × (1 + 0.00393·(T−20)). The advisor corrects resistance to the selected ampacity column temperature (e.g. ×1.216 at 75 °C), matching NEC Chapter 9 Table 8 convention.

AWG vs SWG

AWG (American) and SWG (British Standard Wire Gauge) are different systems: 12 AWG = 2.053 mm, but 12 SWG = 2.64 mm. This tool converts AWG only - always check which system a datasheet uses.

Honest limitations

What this tool is (and isn't)

✅ This tool is

  • Bidirectional AWG ↔ mm / mm² / inch converter
  • Full searchable 0000–40 table with circular mils, resistance and NEC ampacity
  • Wire-size advisor: ampacity + 3% voltage-drop rule

↗ See also

  • Antenna builders: the AWG wire table in antenna-lab covers wire for antenna elements
  • Planned: dedicated wire-resistance and voltage-drop calculators (deeper single-purpose analysis)

Related wire tools

Deeper single-purpose tools from the same wire family:

Frequently asked questions

What is a wire gauge calculator?

A wire gauge calculator converts an AWG (American Wire Gauge) number into physical and electrical properties: diameter in mm and inches, cross-section in mm², circular mils, resistance, and NEC ampacity. This page does exactly that for every gauge from 0000 to 40, in both directions (AWG to mm/mm² and mm/mm² to AWG), and adds a wire-size advisor that picks the thinnest AWG satisfying both ampacity and a 3% voltage-drop limit.

How do I convert AWG to mm?

Use the formula diameter (mm) = 0.127 × 92^((36 − gauge)/39). Example: 12 AWG → 0.127 × 92^(24/39) = 2.053 mm. Enter any AWG (0000–40) in the converter above and it shows diameter in mm and inches, cross-section in mm², circular mils, resistance, and NEC ampacity instantly.

How do I convert AWG to mm²?

First compute the diameter with d = 0.127 × 92^((36 − gauge)/39), then cross-section = π/4 × d². Example: 12 AWG → d = 2.053 mm → π/4 × 2.053² = 3.31 mm². The table above lists mm² for every gauge 0000–40; 10 AWG = 5.26 mm², 4/0 = 107.2 mm², 40 AWG = 0.0050 mm².

What size is 12 AWG in mm?

12 AWG is 2.053 mm in diameter (0.0808 in), with a cross-section of 3.31 mm² (6,530 circular mils). Its NEC ampacity is 20 A at 60 °C, 25 A at 75 °C, 30 A at 90 °C, but the small-conductor rule (NEC 240.4(D)) limits overcurrent protection to 20 A.

How many mm² is 10 AWG?

10 AWG = 5.26 mm² cross-section (diameter 2.588 mm / 0.1019 in, 10,383 circular mils). NEC ampacity: 30 A (60 °C), 35 A (75 °C), 40 A (90 °C); overcurrent protection limited to 30 A by NEC 240.4(D). It is the smallest gauge commonly allowed for 30 A branch circuits.

What AWG is 4 mm²?

The nearest AWG to 4.0 mm² is 11 AWG (4.17 mm², diameter 2.304 mm). If your installation requires at least 4 mm² of copper, use 11 AWG or the next thicker size, 10 AWG (5.26 mm²). Type 4 mm² in the reverse converter to see the exact match distance.

What AWG wire do I need for 30 amps?

At minimum, 10 AWG copper (30 A at 60 °C). For longer runs, voltage drop often forces a thicker wire: the wire-size advisor above combines NEC ampacity with a 3% voltage-drop check. Example: a 30 A, 12 V, 15 m one-way run needs 1/0 AWG because 1 AWG would drop 3.71%, over the 3% limit.

What size wire do I need for 40 amps?

Use 8 AWG copper: NEC Table 310.16 rates it 40 A at 60 °C, 50 A at 75 °C and 55 A at 90 °C, so with standard 75 °C terminations it carries 50 A and a 40 A breaker protects it correctly. One size thinner fails: 10 AWG is only 35 A at 75 °C. 8 AWG = 3.264 mm diameter (8.37 mm², 16,510 circular mils). For aluminum, step up to 6 AWG (40 / 50 / 55 A). For long runs, check voltage drop with the advisor above: drop often forces thicker wire than ampacity alone.

What is the difference between AWG and SWG?

AWG (American Wire Gauge) and SWG (British Standard Wire Gauge) are different systems: the same number means different sizes. 12 AWG = 2.053 mm, while 12 SWG = 2.64 mm. Always confirm which gauge system a datasheet uses; this converter works with AWG only.

Does a smaller AWG number mean a thicker wire?

Yes: the AWG scale is inverted. 4/0 (0000) is the thickest common size at 11.68 mm, and 40 AWG is a hair-thin 0.0799 mm. The wire gets thinner by a fixed ratio: every 3 gauges, the cross-section halves (and the diameter ratio per gauge is the 39th root of 92, ≈1.1229).

How do I convert mm or mm² back to AWG?

For diameter: gauge ≈ 36 − 39 × log(d/0.127)/log(92), rounded to the nearest integer. For mm², first get diameter via d = √(4×mm²/π), then use the same formula. The reverse converter does this and tells you the nearest AWG plus how far your value is from the exact size.

What are circular mils and how do they relate to AWG?

A circular mil is the area of a circle 0.001 inch in diameter. Circular mils = (diameter in mils)². It is the traditional US unit for wire area: 12 AWG = 6,530 circular mils, 4/0 = 211,600 circular mils. The full table shows circular mils for every gauge.

Which AWG size should I use for a 12 V solar or car-audio run?

Low-voltage runs are dominated by voltage drop, not ampacity. Use the wire-size advisor: enter your amps, 12 V (or 24 V), and one-way length. It picks the thinnest AWG that keeps drop ≤ 3% and ampacity ≥ your current, and shows the next two thicker options for comparison.

Is this AWG table the same as the RapidTables AWG chart?

The numbers come from the same AWG definition (0.127 mm × 92^((36−n)/39)) and NEC ampacity columns, so core values agree. This tool goes further: bidirectional conversion (mm/mm² → AWG), a searchable 0000–40 table with resistance and circular mils, and a wire-size advisor combining ampacity and 3% voltage drop.

What is the difference between this tool and the electrical-unit-converter?

The electrical-unit-converter is a broad electrical hub (volts, amps, ohms, Ohm's law, resistor color codes) with a compact AWG ampacity reference. This page is the deep AWG specialist: the full 0000–40 table, mm/mm² reverse conversion, circular mils, per-gauge resistance, and a wire-size advisor. They link to each other instead of duplicating content.

When should I use the voltage-converter instead of the advisor here?

This advisor answers one question: 'which AWG should I buy?', using a fixed 3% drop rule. The voltage-converter has a dedicated voltage-drop tab with DC and 3-phase analysis, 3%/5% verdicts, and max-length calculations. For pure voltage-drop analysis, use that tool; for wire-size selection, use this one.

Are the ampacity values safe to wire a house with?

The table shows NEC Table 310.16 ampacities (copper, 30 °C ambient, ≤3 conductors) as a reference, plus the 240.4(D) small-conductor limits. Real installations must also satisfy derating for ambient temperature, conduit fill, and local code. This tool is an educational reference: final sizing should be confirmed by a licensed electrician and your local electrical code.

Does any data leave my browser when I use this tool?

No. This converter runs 100% client-side in a single HTML file: the AWG formula, the NEC reference table, and the advisor math all execute in your browser. There are no network requests, no analytics, and nothing you type is sent anywhere.

Free tool by NRTechStudio