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Question 1 40 points] Solve the Problem below in details by providing both the solution and calculation steps Fill the Table below with the final answers. Question 1 Final Answers Table Question Number Provide your final answer here Q1.a. Q1. b. Consider the given circuit below and answer the following questions, where b=0.15: 4 Q 1 H 1 Q + + Vin bVout t 500 mF 4 2 Vout Q1. a. Draw the circuit in s-domain and find the transfer function H(s) = Vout (s) Vin (s) [20 points] Q1. b. Based on the derived transfer function H(s) in Q1. a, identify whether the system is stable, unstable or critically stable by presenting the graph on the S-plane (indicate all the values on the graph). [20 points] Question 2 [30 points : Solve the Problem below in details by providing both the solution and calculation steps Fill the Table below with the final answers. Question 2 Final Answers Table Question Number Provide your final answer here Q2. a. Q2. b. Consider the given circuit below and answer the following questions: + lin(t) 4 20 1H 500 mF Vout(t) - Q2. a. Draw the circuit in s-domain and find the transfer function H(s): [15 points] Q2. b. Find the steady-state response out,ss (t), if Iin(t) = 2cos(4t + 60°) [A]: [15 points] Question 3 [30 points] : Answer the following questions in details: Q3. a. The current passing through an inductor is presented by the following signal il (t) = 8u(t) + [A]. Find both the initial and final values of the inductor current. [10 points] Q3. b. Explain why the initial and final value theorems are used in the circuit analysis? Provide an example of the practical application of these theorems. [20 points]

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