Two constraints, one answer
Wire sizing answers two questions at once. Ampacity asks whether the
conductor can carry the current without overheating — that comes from
NEC Table 310.16 at your terminal temperature rating. Voltage
drop asks whether the wire is big enough that the load still gets usable voltage
over the distance — that uses NEC Chapter 9 Table 8 resistance and the common 3% target.
The right size is the larger of the two, which is exactly what this tool
reports.
Why the bigger one wins
On short runs, ampacity usually governs: a 50 A load needs at least 8 AWG copper at 75 °C,
full stop. On long runs, voltage drop takes over — that same 50 A over 100 ft at 240 V
wants 6 AWG to stay under 3%, even though 8 AWG could carry it. Picking the larger size
satisfies both. The calculator labels which constraint is driving the recommendation so
you can see why.
Ampacity per NEC 310.16; voltage drop per NEC Ch.9 Table 8. Default 75 °C terminations.