A series circuit consists of an ideal \(24\text{ V}\) battery, an open switch, a \(16\text{ }\Omega\) resistor, and an initially uncharged \(10\text{ }\mu\text{F}\) capacitor. The switch is closed at time \(t = 0\). At the instant when the charge on the capacitor reaches half of its maximum operating value, what is the power dissipated in the resistor?