What is the relationship between resistance and the number of conductors in parallel?

The relationship between resistance and the number of conductors in parallel is such that resistance decreases as the number of conductors increases. In a parallel configuration, each additional conductor provides an alternative path for current to flow. This results in increased total current flow for a given voltage and effectively decreases the overall resistance of the circuit.

Mathematically, the total resistance in a parallel circuit can be found using the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

As you add more conductors (resistors) in parallel, the sum of the reciprocals increases, which leads to a lower overall resistance. This principle is essential for designing circuits, as parallel configurations can be used to manage current more effectively while minimizing resistance. Thus, the more conductors you include in parallel, the more the total resistance decreases, confirming the correctness of the selected answer.