The resistance of real-world resistors can change over time as they conduct current, primarily due to heating effects. When current flows through a resistor, it typically generates heat, which can alter its resistance, especially if the resistor is subjected to high currents or power surges. The discussion highlights that different materials respond differently to temperature changes; for instance, metals generally increase in resistance while carbon decreases. The temperature coefficient indicates how much resistance changes with temperature, and lower coefficients are preferred for stability. Overall, understanding these dynamics is crucial for effective circuit design and resistor selection.