2) A DC circuit A DC power source charges a 150 uF capacitor to a value of 300 C, and then a switch is thrown which disconnects the power and leads to having just the capacitor and a 20 m.H inductor in a loop. a) Write the charge in the capacitor as a function of time (after the switch is thrown). b) Write the current in this circuit as a function of time. c) Write the energy stored in the inductor as a function of time. d) Show by calculation that energy is conserved in the circuit. e) What is the (time) average energy stored in the inductor?