When a battery is removed from a circuit of capacitors, the final electric potential each capacitor approaches depends on their configuration. In series, unequal capacitors do not reach the same potential, while in parallel, they do. The discussion highlights that capacitors in parallel will maintain equal voltage across them after the battery is disconnected, regardless of their capacitance values. This distinction is crucial for understanding capacitor behavior in different circuit arrangements. Ultimately, the arrangement of capacitors significantly influences their final electric potential when the power source is removed.