An ideal battery of potential difference \(\varepsilon\), an uncharged capacitor of capacitance \(C\), a resistor of resistance \(R\), and a two-position switch are connected in the circuit shown.

At time \(t = 0\), the switch is closed to position 1, connecting the battery, resistor, and capacitor in series. At time \(t_1\), when the capacitor is fully charged and current has ceased, the switch is instantaneously flipped to position 2, connecting the capacitor directly across the resistor and isolating the battery. Which of the following best describes the graph of the electric power \(P\) dissipated by the resistor as a function of time \(t\) from \(t = 0\) to \(t > t_1\)?