Final answer:
The statement is true, the combined equivalent resistance in a parallel circuit with equal resistances in all branches is the resistance of one branch divided by the number of branches.
Step-by-step explanation:
If resistance is equal in all branches of a parallel circuit, the combined equivalent resistance is indeed the value of one branch resistance divided by the number of branches. This is because the total resistance in a parallel circuit decreases as more resistors are added, as the overall current has more paths to take. When resistors R are added in parallel and all have the same resistance, the equivalent resistance (Req) can be calculated using the formula Req = R/N, where N is the number of equal resistors in parallel.