The correct minimum size for branch circuits from a 3-pole breaker for a specific motor setup is ___ AWG.

The correct minimum size for branch circuits from a 3-pole breaker for a specific motor setup being 12 AWG is based on the National Electrical Code (NEC) guidelines, which dictate the proper wire gauge depending on the current-carrying capacity required for various applications. The specific size is determined by the motor's horsepower and the corresponding amperage draw.

In general, branch circuit conductors must be sized to ensure they can handle the expected current without overheating, while also taking into account the distance from the power source to the load to prevent voltage drop. For a 3-phase motor, which operates efficiently and often draws a higher current, using 12 AWG is appropriate under typical conditions, particularly for smaller motors that do not exceed certain amp ratings.

It is also essential to consider the continuous load rule and the appropriate adjustment factors if the circuit may serve multiple motors or loads. Although there are options with larger AWG sizes available, these would typically be reserved for higher capacity requirements or specific scenarios where the motor's current exceeds the typical thresholds, making 12 AWG a generally accepted standard for many common setups.

This ensures that the conductors utilized maintain safety and efficiency during operation, preventing potential electrical fires or failures due to under-sizing