12 AWG — standard 20 A branch circuit
The workhorse of North American residential wiring. Note how far the free-air and in-conduit ratings diverge.
3.31 mm², 25 A bundled — but 41 A in free air
Diameter, cross-section, resistance and current rating for any AWG size — with separate free-air and in-conduit ampacity, because they differ by a factor of two.
American Wire Gauge runs backwards: the larger the number, the thinner the wire. The diameter is defined geometrically as d = 0.127 × 92^((36 − n)/39) mm, so 12 AWG is 2.05 mm across, giving a cross-section of 3.31 mm² and a resistance of 5.21 Ω/km in copper at 20 °C. Every six gauge numbers roughly halves the diameter and quarters the cross-section. A 12 AWG copper conductor carrying 10 A over a 10 m run drops about 1.04 V and wastes 10.4 W as heat.
The same wire carries very different current depending on how it sheds heat.
Checks against the rating and computes drop for the run below.
Free-air rating assumes a single conductor with room to shed heat. Inside a loom, conduit or a sealed enclosure, derate substantially — switch to the bundled figure.
12 AWG is 3.31 mm², closest to the 3.3 mm² metric size. AWG and metric sizes do not line up exactly, so check both when sourcing.
The workhorse of North American residential wiring. Note how far the free-air and in-conduit ratings diverge.
3.31 mm², 25 A bundled — but 41 A in free air
Typical internal wiring in a piece of equipment, over a short run.
0.82 mm², 16 A free-air rating — drop of 0.84 V over 10 m
The largest common size, used for main service conductors.
107 mm², 230 A bundled — aluminium is standard at this size
Ribbon cable and jumper wire territory. Fine for signals, hopeless for power.
0.205 mm², 3.5 A rating, 84 Ω/km
When to use this: choosing hookup wire for a project, checking whether an existing cable can carry a load, converting between AWG and metric sizes for sourcing, or working out how much voltage a long run will eat.
American Wire Gauge is defined by a formula, not a table. The diameter of gauge n in millimetres is:
d = 0.127 × 92^((36 − n)/39)
The two anchor points are 36 AWG at 0.127 mm and 0000 (4/0) at 11.68 mm, with 39 steps between them spaced geometrically. Everything else follows from that.
The scale runs backwards — a bigger number means a thinner wire. The number originally counted how many times the wire was drawn through a die to reach size, so more passes meant thinner wire. Conductors too thick for a single pass got the 0, 00, 000 and 0000 designations, written 1/0 through 4/0 and pronounced "one aught" through "four aught".
How much current a wire can carry is not a property of the wire. It is a property of the wire, its insulation, its surroundings and how fast heat can escape. The same 12 AWG copper conductor is rated:
| Condition | 12 AWG copper | Why |
|---|---|---|
| Single conductor, free air | 41 A | Heat radiates and convects away freely |
| In conduit with others, 75 °C | 25 A | Conductors heat each other; NEC 310.16 |
| Continuous load (80% rule) | 20 A | Derated for loads running over 3 hours |
That is a factor of two between the free-air figure quoted in electronics tables and the installation figure an electrician uses. Both are correct for their context, and confusing them is how wiring overheats. When in doubt, use the lower number.
Further derating applies for high ambient temperature and for more than three current-carrying conductors in a raceway. Those factors multiply, and in a hot roof space with a full conduit they can take a nominal 25 A down below 15 A.
Copper, at 20 °C. Free-air and bundled ampacity as described above.
| AWG | Diameter (mm) | Area (mm²) | Ω / km | Free air (A) | Bundled (A) |
|---|---|---|---|---|---|
| 4/0 | 11.7 | 107 | 0.161 | 380 | 230 |
| 3/0 | 10.4 | 85.0 | 0.203 | 328 | 200 |
| 2/0 | 9.27 | 67.4 | 0.256 | 283 | 175 |
| 1/0 | 8.25 | 53.5 | 0.322 | 245 | 150 |
| 1 | 7.35 | 42.4 | 0.407 | 211 | 130 |
| 2 | 6.54 | 33.6 | 0.513 | 181 | 115 |
| 3 | 5.83 | 26.7 | 0.646 | 158 | 100 |
| 4 | 5.19 | 21.2 | 0.815 | 135 | 85 |
| 6 | 4.12 | 13.3 | 1.30 | 101 | 65 |
| 8 | 3.26 | 8.37 | 2.06 | 73 | 50 |
| 10 | 2.59 | 5.26 | 3.28 | 55 | 35 |
| 12 | 2.05 | 3.31 | 5.21 | 41 | 25 |
| 14 | 1.63 | 2.08 | 8.29 | 32 | 20 |
| 16 | 1.29 | 1.31 | 13.2 | 22 | 18 |
| 18 | 1.02 | 0.82 | 20.9 | 16 | 14 |
| 20 | 0.812 | 0.52 | 33.3 | 11 | 11 |
| 22 | 0.644 | 0.33 | 53.0 | 7 | 7 |
| 24 | 0.511 | 0.20 | 84.2 | 3.5 | 3.5 |
| 26 | 0.405 | 0.13 | 134 | 2.2 | 2.2 |
| 28 | 0.321 | 0.081 | 213 | 1.4 | 1.4 |
| 30 | 0.255 | 0.051 | 339 | 0.86 | 0.86 |
Metric cable is specified directly by cross-section in mm², in a standard series — 0.5, 0.75, 1, 1.5, 2.5, 4, 6, 10 and so on. AWG sizes fall between these, so conversions are always approximate:
| AWG | Exact mm² | Nearest metric size | Difference |
|---|---|---|---|
| 18 | 0.823 | 0.75 mm² | AWG is 10% larger |
| 16 | 1.31 | 1.5 mm² | AWG is 13% smaller |
| 14 | 2.08 | 2.5 mm² | AWG is 17% smaller |
| 12 | 3.31 | 4 mm² | AWG is 17% smaller |
| 10 | 5.26 | 6 mm² | AWG is 12% smaller |
Note the direction: 14 AWG is meaningfully smaller than 2.5 mm², despite often being listed as equivalent. Substituting one for the other in a design that was close to its limit is not safe. When sourcing internationally, compare the mm² figures rather than trusting an equivalence table.
For the same AWG number, stranded wire has slightly less copper than solid — the strands cannot pack perfectly, so there are air gaps — and a slightly larger overall diameter. The current rating is treated as the same.
The choice is mechanical. Solid holds its shape, sits reliably in screw terminals and push-fit connectors, and is standard for fixed building wiring. Stranded flexes without fatiguing, which matters for anything that moves, gets handled, or is subject to vibration. Stranded wire in a screw terminal should be ferruled rather than tinned — solder cold-flows under pressure and the joint loosens over time.
Sizes run from 32 AWG up to 4/0. Remember the scale is inverted — a larger number means a thinner wire.
Free air is a single conductor with room to cool. Bundled is inside conduit, a loom or a cable, where heat cannot escape. The ratings differ by roughly a factor of two on larger sizes.
The calculator checks the current against the rating and computes the round-trip voltage drop.
A wire can pass its current rating and still be the wrong choice because the voltage drop over a long run is unacceptable.
American Wire Gauge, a standard sizing system for solid round conductors. It is defined geometrically: diameter in mm = 0.127 × 92^((36 − n)/39), where n is the gauge number. The scale is inverted, so a larger number means a thinner wire.
The number originally counted how many times the wire was pulled through a drawing die to reach its final size. More passes meant a thinner wire, so a higher number. The 0, 00, 000 and 0000 sizes exist because some conductors were thicker than a single pass, and they are written 1/0 through 4/0.
It depends almost entirely on how the wire can shed heat. A single 12 AWG conductor in free air handles about 41 A; the same wire in conduit with others is limited to 25 A by NEC 310.16 at 75 °C. Always use the figure for how the wire is actually installed, and derate further for high ambient temperature or many conductors in one raceway.
Compute the diameter with d = 0.127 × 92^((36 − n)/39), then the area with A = πd²/4. Common conversions: 12 AWG is 3.31 mm², 14 AWG is 2.08 mm², 18 AWG is 0.82 mm², and 4/0 is 107 mm². The AWG and metric ranges do not line up exactly, so there is rarely an exact equivalent.
Every 6 AWG steps roughly halves the diameter and quarters the cross-section, and every 3 steps roughly halves the area. So 12 AWG has about four times the copper of 18 AWG, and 10 AWG about twice that of 13 AWG. It is a useful mental shortcut when comparing sizes.
Yes, and significantly. Copper rises about 0.393% per kelvin. A conductor at its 90 °C insulation rating has about 28% more resistance than at the 20 °C reference figure quoted in most tables — which also means 28% more voltage drop and 28% more heat.
For a given AWG number, stranded wire has slightly less copper than solid, because of the air gaps between strands, and a slightly larger overall diameter. The current rating is essentially the same. Stranded is used where the wire must flex; solid where it must hold its shape in a terminal.
Start from the ampacity for how the wire will actually be installed, apply the 80% rule for continuous loads, then check voltage drop over your run length. On short runs the ampacity usually decides; past 20–30 m voltage drop often demands a larger size than ampacity alone would.

Technical reviewer
Electrician · 10+ years of installation work in Bangladesh and the wider South Asian region
He reads the result the way an installer would: are the defaults values people actually meet, does the warning fire where you would stop and think, and is the answer something you could buy and fit? The code figures themselves come from the published standards cited below, not from him — that boundary is set out on his profile.
The full process is written up in the methodology and editorial policy. Results are engineering guidance, not a code sign-off — see the disclaimer. If a result looks wrong, tell us; corrections are answered before anything else.
What size wire you need, from the load, the run length and the conditions — sized against both NEC ampacity and voltage drop, with the terminal temperature rule that stops 90 °C wire giving 90 °C ampacity.
ΔVVoltage drop for DC, single-phase and three-phase runs in copper or aluminium, sized in mm² or AWG, to BS 7671, IEC 60364 or NEC limits — with the BS 7671 Appendix 4 mV/A/m figure shown alongside.
IzDerated current-carrying capacity to BS 7671 and IEC 60364 — Iz = It × Ca × Cg × Ci × Cf, with the ambient, grouping, thermal insulation and BS 3036 factors applied and the Ib ≤ In ≤ Iz condition checked.
EGCEquipment grounding conductor size from the breaker rating — including the 250.122(B) proportional increase almost every other calculator leaves out when a run is upsized for voltage drop.