How it works
Voltage drop
Single-phase: VD = 2 × K × I × L ÷ CM
Three-phase: VD = 1.732 × K × I × L ÷ CM
VD% = VD ÷ system voltage × 100
K is the resistance of a circular-mil-foot of conductor: about 12.9 Ω for copper and 21.2 Ω for aluminum. I is the load in amps, L the one-way length in feet, and CM the conductor area in circular mils from NEC Chapter 9, Table 8 (for example, 12 AWG = 6,530 CM and 10 AWG = 10,380 CM).
The NEC recommends, in an informational note (not a mandatory rule), a maximum of 3% drop on a branch circuit and 5% total for feeder plus branch circuit.
Ampacity
The wire must also carry the current safely. The calculator uses NEC Table 310.16 (not more than three current-carrying conductors, 30°C ambient) in the column you choose, and caps small conductors at the 240.4(D) overcurrent limits: copper 14/12/10 AWG at 15/20/30 A, aluminum 12/10 AWG at 15/25 A.
Worked example
A 20 A, 120 V single-phase load 100 ft away on copper:
12 AWG: VD = 2 × 12.9 × 20 × 100 ÷ 6,530 = 7.90 V = 6.58% (fails)
10 AWG: 51,600 ÷ 10,380 = 4.97 V = 4.14% (fails)
8 AWG: 51,600 ÷ 16,510 = 3.13 V = 2.60% (passes)
12 AWG passes ampacity (20 A) but drops too much voltage, so 8 AWG copper is the smallest size that meets both ampacity and the 3% target. (The breaker still protects the circuit at 20 A.)
Assumptions and limits
- Uses DC resistance at 75°C from Chapter 9 Table 8, which is accurate within a few percent for AC up to about 4/0. Larger conductors and power-factor effects need Table 9.
- No ambient-temperature correction, conduit-fill adjustment, or continuous-load (125%) factors are applied. These can require a larger wire.
- Termination temperature limits (NEC 110.14(C)) often restrict you to the 60°C or 75°C column even when the insulation is rated 90°C.
- Motor, HVAC, EV charger and service conductors have their own NEC rules. Your inspector or a licensed electrician has the final say.