When a 12-volt battery is short-circuited, the potential difference between its terminals quickly drops from 12 volts to zero as it discharges. The battery can be modeled as an infinite current source in series with its internal resistance, while the shorting wire also has some resistance. The voltage at the terminals can be calculated using the voltage divider principle based on these resistances. As the battery discharges, its ability to provide current diminishes, leading to a gradual voltage drop until it reaches zero. This scenario is relevant in automotive contexts, particularly regarding standard short circuit battery tests.