Which formula represents finding total resistance when all resistors are the same?

To find the total resistance when all resistors are the same and connected in parallel, the correct formula recognizes the relationship between individual resistors and the total resistance in the circuit. In a parallel configuration, the total resistance decreases as more resistors are added.

The correct formula would be expressed as ( R(t) = \frac{R}{n} ), where ( R ) is the resistance of one resistor, and ( n ) is the number of resistors. This indicates that as more resistors are connected in parallel (all having the same resistance), the total resistance is equal to the resistance of one resistor divided by the total number of resistors.

This reflects the fundamental principle that adding resistors in parallel results in a cumulative effect that decreases the overall resistance of the circuit because the paths for current flow increase. As a result, the current can more easily flow through the circuit when multiple paths are available.

In this context, the understanding of parallel resistor configurations is crucial, and the math involved illustrates key concepts of electrical circuits relevant for NICET Level 1 Fire Alarm Systems knowledge, as these principles often apply in fire alarm installations where resistive loads and circuits may be present.