10 ΚΩ 80 V 125 64 F b 5 ΚΩ t=0 iL(t) 20 ΚΩ 5H + Vc(t) 40 V +

In the circuit in Figure 1 the switch has been in position a for a long time and in t=0 it changes to position b, 
Taking into account the above, it is requested: 
a) Simulate the voltage in the capacitor and the current in the coil for times t<0 when it is in a steady state. b) Simulate the voltage in the capacitor and the current in the coil for times t>0 until it reaches the state 
stable (permanent regime). In addition, obtain the initial voltage of the coil and the initial current of the 
capacitor right after the change. 
c) Obtain the equations of voltage in the capacitor and current in the coil and then elaborate their 
corresponding graphs.