50 amps at 200 feet: the short answer
At 240 V single-phase over 200 feet, a
50 amps load needs
copper 4 AWG to stay near 2.57% —
inside the 3% design target used for this comparison.
For comparison, copper 12 AWG would drop about
38.60 V (16.08%)
on the same run.
Before you pull wire
This is a voltage-drop estimate only. The conductor must also meet
ampacity, temperature derating, and overcurrent rules — use the larger
of the voltage-drop size and the ampacity size. Aluminum of the same size drops more, so
it usually needs to go up one or two sizes. Always confirm with a licensed electrician and
your local code (AHJ).
Sized for voltage drop using NEC Ch.9 Table 8 DC resistance. The 3% figure is a
common design target from informational guidance, not a substitute for a code review.