To find the equivalent resistance R_AB for the resistors 250 ohms and 470 ohms in parallel with 940 ohms, the first step is to calculate the combined resistance of the 250 and 470 ohm resistors. The formula for resistors in parallel is 1/R_total = 1/R1 + 1/R2, leading to R_parallel = (250 * 470) / (250 + 470). After finding R_parallel, this value is then combined with the 940 ohm resistor in series to determine the total resistance R_AB. Understanding the current flow when a battery is connected across points A and B is essential for analyzing the circuit behavior. The final resistance encountered in the path from A to B can be calculated using these steps.