To size wire, multiply your load current by 1.25 for continuous loads, then pick the smallest AWG whose ampacity meets that number. A 50-amp continuous load needs 50 × 1.25 = 62.5 A of ampacity, which at the 75°C column of NEC Table 310.16 is satisfied by 6 AWG copper (65 A). Then confirm the run is not too long: voltage drop should stay under 3% for branch circuits.
This wire size calculator handles both checks at once. It returns the recommended AWG, the required ampacity after the 125% rule, and the voltage drop across your actual one-way run length so you never undersize a conductor or overheat it. Aluminum is supported too — it carries less current per gauge, so a 50-amp aluminum feeder typically steps up to 4 AWG.