a) What is the importance of application of the Laplace Transform to the analysis of circuits with initial conditions? Give an example. b) What is the procedure to obtain a total solution (transient and steady state) for circuits having more than one switch with different switching times? (2 Points) (2 Points) c) The switch in the circuit shown in Figure has been in the "OFF" position for a long time. At t=0 the switch moves instantaneously ta the "ON" position: i) Using the Laplace transform, find an expression for the voltage acrass the condenser vol) for t 20. i) Calculate the initial and final values of v) using the initial and final value (4 Points) theorems. (3 Points) iii) Sketch your results in volts against time in seconds indicating the time T, at which the voltage v.() is reduced to zero. Insert the results of part e) in a suitable Table and Sketch. (2 Points) 20000 i, 5 KO "ON" "OFF" 40 KO 15 10 Vo 3 mA KO KO 75 Volts 16