An inductor of inductance \(L\) is initially carrying a steady current \(I_0\). At time \(t = 0\), the inductor is disconnected from its source and connected across a resistor of resistance \(R_1\) in Trial 1, allowing the current to decay to zero. The experiment is repeated in Trial 2 with the same inductor carrying the same initial current \(I_0\), but connected across a resistor of resistance \(R_2 = 2R_1\). Which of the following correctly compares the total thermal energy dissipated in the resistor in Trial 2 to that in Trial 1 as \(t \to \infty\), and provides the correct physical justification?