Final answer:
To draw the most power from a battery, a small resistance should be connected to its terminals because power is inversely proportional to resistance, following the formula P = V^2/R.
Step-by-step explanation:
To draw the most power from a battery, you should connect a small resistance across its terminals. The reasoning behind this is based on the power formula P = V2/R, where P is power, V is the terminal voltage, and R is the resistance. With a small resistance, the power output is maximized since power is inversely proportional to resistance.
It's essential, however, not to connect a resistance so small that it essentially shorts the battery, leading to excessive current and potential damage. This principle applies regardless of battery type; however, the actual resistive value for maximum power depends on the specific characteristics of the battery, such as its internal resistance.