To build a circuit that detects a white line on any background, using a simple photocell or light sensor is recommended, as it can measure changes in brightness. The challenge arises when differentiating between various surface colors, particularly if the robot operates on blue or red carpets. A solution involves using a comparator or Schmidt trigger to convert the analog output of the light sensor into a digital signal, allowing the robot to recognize the white line. It's crucial to adjust the reference level to ensure accurate detection of the white line's brightness against the background. Overall, sensitivity to brightness changes is key for effective line detection.