R: 5: R2 3. The circuit above contains a capacitor of capacitance C. a power supply of emf a . two resistors of resistances Hi and R2. and two switches, SI and 3;. Initially, the capacitor is uncharged and both switches are open. Switch 31 then gets closed at time t = 0' a Write a differential equation that can be solved to obtain the charge on the capacitor as a function of time t. b. Solve the differential equation in part a. to determine the charge on the capacitor as a function of time t