For a motor branch circuit, the Equipment Grounding Conductor (EGC) can be:

In the context of a motor branch circuit, the Equipment Grounding Conductor (EGC) is critical for ensuring safety and proper functioning. According to the National Electrical Code (NEC) Table 250.122, certain minimum sizes for EGCs are established based on the rating of overcurrent devices. However, it is permissible to use an EGC that is either smaller than these specified sizes, as long as it meets specific conditions and does not compromise safety, or larger for improved safety or other design considerations.

Using a larger EGC than required can provide additional safety margins and is often considered a best practice, especially in situations with higher risk. Conversely, while it is typically discouraged to use a smaller EGC, there may be scenarios where it could be justified based on particular design choices or code allowances, assuming it does not violate any other code requirements or safety protocols.

This flexibility in sizing allows for the adaptation of grounding requirements to suit specific installations, ensuring that all circuits are both compliant with the NEC and tailored to the safety needs of a given scenario. Therefore, the correct answer encompasses the idea that EGCs for motor branch circuits can be either smaller or larger than what is outlined in NEC Table 250.122.