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(50 points): The voltage $v_{R}$ 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 $V_{R}(s)$ (the Laplace transform of $v_{R}$ ) using mesh analysis. Find $v_{R}$. (iii) (5 points) Sketch the poles of $V_{R}(s)$ in an s-plane diagram. (iv) (10 points) Find the Thevénin equivalent $s$-domain circuit as seen by the $10?$ resistor marked with ' $v_{R}$ '. (v) (10 points) From the circuit you found in (iv), use the s-domain voltage divider formula to solve for $V_{R}(s)$ and finally $v_{R}$.

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