Final answer:
The smallest size current carrying wire that may be run in parallel depends on the amount of current that needs to be carried and the ampacity of the wire.
Step-by-step explanation:
In order to determine the smallest size current carrying wire that may be run in parallel, we need to consider the ampacity or current-carrying capacity of the wire. The ampacity of a wire depends on its gauge or diameter. Generally, smaller gauge wires have a higher ampacity, meaning they can carry more current. Therefore, the smallest size current carrying wire that can be run in parallel would be determined by the amount of current that needs to be carried.
For example, if the desired current is 10 A, a 16-gauge wire with a diameter of 1.291 mm can safely carry this current. However, it's important to consult electrical codes and guidelines to ensure the wire is properly sized for the specific application.
Overall, the smallest size current carrying wire that may be run in parallel depends on the amount of current that needs to be carried and the ampacity of the wire.