To determine the equivalent resistance of a single resistor that would draw the same current as a given circuit when connected to the same battery, we need to find the total resistance of the original circuit.Steps to Solve: 1. Find the total resistance (R_{eq}) of the given circuit: • If the resistors are in series, sum them:R_{eq} = R_1 + R_2 + \dots + R_n • If the resistors are in parallel, use the formula:\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots + \frac{1}{R_n} 2. Compare it to a single resistor: • The equivalent resistance R_{eq} is the resistance of a single resistor that, when connected to the same battery, would result in the same current.If you provide the specific resistor values and circuit arrangement, I can calculate the exact resistance for you!