ELE 302 Final: ELE302 – Fall 2013 Final

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Please note your section number, and circle your professor"s name. No aids other than the approved calculators are allowed. 3. laplace table and fourier series equations are provided in the back of this question paper. 4. no questions are to be asked in the examination hall. If needed, make valid assumptions to solve the question, but please state clearly the assumptions used. Second-order circuits: switch closes at time t = 0s after being open for a very long i(t) 20 v (a) derive a second order differential equation, in terms of v(t), to describe the above circuit. Find characteristic equation and natural solution for v(t) Find the forced and total solution to determine: v(t) Q2: laplace transform: switch closes at time t = 0s after being open for a very long time. i(t) 1f (a) write a second order differential equation, in terms of i(t), to describe the above circuit. Derive an expression for i(s) using laplace transforms.