The change in potential energy for the battery is negative, since it loses energy. These batteries, like many electrical systems, actually move negative charge-electrons in particular. The batteries repel electrons from their negative terminals (A) through whatever circuitry is involved and attract them to their positive terminals (B), as shown in Figure \(\PageIndex<1>\). The change in potential is \(\Delta V = V_B – V_A = +12 \, V\) and the charge q is negative, so that \(\Delta U = q \Delta V\) is negative, meaning the potential energy of the battery has decreased when q has moved from A to B.
Figure \(\PageIndex<1>\): A battery moves negative charge from its negative terminal through a headlight to its positive terminal. (more…)