In the circuit shown, an ideal battery of potential difference \(\Delta V_0\) is connected to two identical resistors, each of resistance \(R\), an uncharged capacitor of capacitance \(C\), and a switch \(S\). The switch is initially held in position 1 for a long time until the capacitor reaches steady state. The switch is then flipped to position 2, allowing the capacitor to fully discharge through resistor \(R_2\). What is the ratio of the discharging time constant to the charging time constant, \(\dfrac{\tau_{\text{discharge}}}{\tau_{\text{charge}}}\), and what is the total thermal energy dissipated in resistor \(R_2\) during the discharge phase?