Consider the shown network. Initially both swiches are open and the capacitor are uncharged. Both the switches are then closed simultaneously at t=0 (a) Obtain the current through switch S_(2) as function of time. (b) If switch S_(2) is opened again after a long time interval, find the total heat that would dissipate in the resistor and the charge that would flow through switch S_(1) after S_(2) is opened?