ECE141_2009FALL_EXAM3__[0] - Electrical Engineering...

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Unformatted text preview: Electrical Engineering Department The Cooper Union ECE I413 . Exam 3 Circuits and Electronics I Fall 2009 1. The switch in the circuit shown below has been closed for a long time before it is opened at t = 0. The dependent source defined by vs = 1.25m. so t= i. 0.8H _ so .7 .209 3) Determine the voltage v(O-) and the current i(0-) from the circuit model at t = 0—. 1)) Determine the voltage v(0+) and the current i(0+) from the circuit model at t = 0+. c) Determine the differential equation for the voltage v(t) for t > 0. d) Determine the characteristic equation for the circuit and then classify the response v(t). _ e) Determine the final values for the v(t) and i(t) defined, respectively, by sz= 11mm v(t) and .=1im,_,, i(t), if they exist. (50%) 2. The controlled source in the linear resistive circuit shown or the figure below is defined by 13:= —0. 4vL. _‘ a) Determine the Thevenin equivalent for the circuit with respect to the load RL. 1)) Determine the maximum power Pm(R1) that can be delivered by the circuit to the load R1, and, the condition required to realize this maximum power transfer to the load. (30%} 3 . Use source transformations or, any other valid method, to obtain an appropriate mputloutput ECE 14113 _ Exam 3 Circuits and Electronics I Fall 2009 model for the linear circuit given below. The input and the output ate defined, respectively, by x(t) and y(t). 20!} 489 m) e 609 - y(t) (20%) ...
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