The rule
The NEC (210.19(A), Informational Note No. 4) recommends keeping the drop on a branch circuit under 3 %. Our sizer holds that line and steps the gauge up until the run stays under it.
The arithmetic
Single phase (a 3-wire cord): drop = 2 × amps × R × feet ÷ 1,000. Three phase (4- and 5-wire): drop = 1.732 × amps × R × feet ÷ 1,000. R is the resistance of the gauge in ohms per 1,000 ft of copper at 75 °C:
| Gauge | 2 current-carrying conductors (3-wire cord) | 3 current-carrying conductors (4- and 5-wire) | Ω per 1,000 ft (copper, 75 °C) |
|---|---|---|---|
| 18 AWG | 10 A | 7 A | 7.770 |
| 16 AWG | 13 A | 10 A | 4.890 |
| 14 AWG | 18 A | 15 A | 3.070 |
| 12 AWG | 25 A | 20 A | 1.930 |
| 10 AWG | 30 A | 25 A | 1.210 |
| 8 AWG | 40 A | 35 A | 0.764 |
| 6 AWG | 55 A | 45 A | 0.491 |
| 4 AWG | 70 A | 60 A | 0.308 |