What is the maximum number of 12 AWG THHN conductors permitted in a 4 11/16 in. × 11/2 in. square box?

To determine the maximum number of 12 AWG THHN conductors permitted in a specific-sized electrical box, you need to consider the volume of the box and the required volume for each conductor.

The National Electrical Code (NEC) specifies that for conductors like 12 AWG, each conductor requires a certain cubic inch volume for proper installation. Typically, a 12 AWG THHN conductor requires 2.25 cubic inches of volume.

Next, calculate the volume of the box in cubic inches. A square box measuring 4 11/16 inches by 1.5 inches can be converted to decimal for easier calculation. The volume is calculated using the formula:

Volume = (length × width × height) + (volume of the box's internal space from the box's knockouts, if any).

However, for this specific problem, by code, a simple internal volume calculation would give us the required volume necessary for spacing based on the dimensions provided in the question.

Assuming the internal volume of a 4 11/16 inch × 1/2 inch square box is adequate, you would then divide the total volume by the volume required for each 12 AWG THHN conductor.

For instance, if the volume