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# Project 4 - ECE 211 Fall 2009 Circuit Analysis I Project...

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ECE 211 Fall 2009 Circuit Analysis I Project 4 (due Wed, 2 Dec 2009, at the beginning of lecture) Objectives To learn how to plot functions in MATLAB and to compute values to compare to Virtual Lab results. Required Output For each problem you should print and submit both your .m file and the Figure window. P7. Consider the following circuit, with vs(t) = 12u(-t) V and R = 2Ω. Assume for this problem that X is a capacitor with C = 25mF. (a) What is the initial energy stored in the capacitor? (b) Plot the voltage v across the capacitor from t = 0 until 10 time constants have passed. (c) Plot the current i through the capacitor for the same time interval. (d) Plot the power delivered by the capacitor for the same time interval. (e) Show that the total energy delivered by the capacitor is equal to the initial energy stored. For part (e), recall that an integral is the sum over an infinite number of infinitesimal terms. We don’t have this situation exactly, but it is close enough if the time step used is sufficiently small.

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