A 50 amp breaker takes 6 AWG copper when the circuit runs in NM-B cable, the usual house wiring. NEC 334.80(A) (334.80 in the 2023 edition) holds NM-B to its 60 °C ampacity, and in that column 6 AWG copper carries 55 A, enough for the 50 A breaker with a little to spare. The size below it, 8 AWG, carries only 40 A at 60 °C.
That gap is why 8 gauge is the usual argument at 50 A. Table 310.16 does list 8 AWG copper at exactly 50 A, but that is its 75 °C rating, and it counts only when the whole circuit is rated 75 °C: individual conductors such as THHN in conduit, a breaker with 75 °C terminals, and equipment whose terminals are marked 75 °C too. In NM-B, 8 gauge on a 50 A breaker is 10 A short. If the run is cable, or the terminal ratings can't be confirmed, the size is 6 AWG. Your electrician or inspector can confirm the ratings from the markings on the breaker and the equipment.
Common 50 A circuits in a home are a NEMA 14-50 receptacle and an electric range. The 14-50 is a 50 A, 125/250 V, four-wire grounding receptacle: two hots, a neutral and a ground. It is the 50 A outlet NEC 551.71(A) requires at RV sites (551.71(B) and (C) in 2023), and some plug-in EV chargers are made to plug into one. For ranges, the NEC sets a 40 A minimum branch circuit for a range of 8¾ kW or more (210.19(C)); putting a range on 50 A is common practice rather than a code minimum, and the range's nameplate and installation instructions decide which it needs.
EV charging is where the 125% rule matters. The 2026 NEC treats EV charging as a continuous load (625.41), and a circuit for a continuous load is sized at 125% of it: 210.19(A)(1) for the wire and 210.20(A) for the breaker. In the 2023 edition the same rules were 625.41 and 625.42. Turned around, a 50 A breaker can serve at most 40 A of continuous load. So a charger set to 40 A goes on a 50 A circuit, while a 48 A charger needs a 60 A circuit and 4 AWG copper in NM-B. The same 40 A ceiling holds for any other continuous load on a 50 A circuit.
Distance is the other reason to go up a size. At 240 V and the full 50 A, 6 AWG copper loses 4.80 V over a 100-foot run, 2%, leaving 235.2 V at the load, which is inside the 3% the NEC's informational notes suggest for a branch circuit. At 150 and 200 feet the length table moves copper to 4 AWG in both columns. Length also cancels the 75 °C saving: 8 AWG copper keeps within 3% out to 75 feet, but by 100 feet it has to be 6 AWG. The 3% figure is a recommendation, not a requirement, and a long run out to a detached garage or an RV pad is where it is most likely to decide the size.
Aluminum runs larger for the same breaker: 4 AWG at 60 °C or 6 AWG at 75 °C, rated 55 A and 50 A. Aluminum also needs a breaker and receptacle or appliance terminals marked AL or CU/AL; a terminal marked for copper only can't take it.