(Solved): (50 points): The voltage vR from the circuit below is to be solved in two ways using s-domain ci ...
(50 points): The voltage vR? from the circuit below is to be solved in two ways using s-domain circuit analysis. You may assume that the circuit has reached steady-state prior to moving the switch at t=0. (i) (10 points) Draw the s-domain circuit for t?0. (ii) (15 points) Solve for VR?(s) (the Laplace transform of vR? ) using mesh analysis. Find vR?. (iii) (5 points) Sketch the poles of VR?(s) in an s-plane diagram. (iv) (10 points) Find the Thevénin equivalent s-domain circuit as seen by the 10? resistor marked with ' vR? '. (v) (10 points) From the circuit you found in (iv), use the s-domain voltage divider formula to solve for VR?(s) and finally vR?.