If the voltage applied to two resistors in series is doubled, how much will the total power change?

Power is mathematically related to voltage and resistance by the formula P = E^2 / R (where P is power, E is voltage, and R is resistance). Because the physical resistors do not change, the resistance (R) remains constant. Since voltage (E) is squared in this formula, any change to the voltage has an exponential effect on the power. If you double the voltage (a factor of 2), you must square that factor (2^2 = 4). Therefore, the total power dissipated will increase four times. Distractors suggesting the power will merely 'double' appeal to the incorrect assumption that voltage and power share a direct, linear relationship.