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Due: EE321
HW Monday 3/6/06
(Note: Since this assignment has a relatively quick turn around, it avoids Spice and has only a few Matlab plots.)
1. (20Points) In lecture we completed preliminary work on the following circuit:
Using s-domain techniques and Thevenin equivalents for initial conditions on the inductors, find i1(t) and i2(t). You may use the Matlab roots and residue commands to assist in your work. Plot your results with Matlab. Turn in your hand written analysis, your m-file, and your plots. 2. (10 points) Repeat your s-domain analysis for Problem 1 but this time use the Norton equivalents for initial conditions on the inductors. Confirm that this approach gives the same I1(s) and I2(s) that were found in Problem 1. There is no need to find the time-dependent quantities since they will be identical to Problem 1. Turn in your hand written analysis 3. (30 points) The authors work an interesting problem on pages 591-593 that includes Eqs. 13.30-13.41. Repeat the authors' steps (using Matlab roots and residue commands when helpful) but replace Eq. with:
i 13.30 g = I m cos( t + / 3) . Your final results are an equation for iL(t) and a Matlab plot of this
current for a duration that includes full decay of the transient. Turn in your hand written analysis, your mfile, and your plots. 4. (20 Points) Problem 13.13 page 632. Use s-domain analysis. Use Thevenin equivalents to represent the initial conditions on the capacitor and the inductor. Part (b) should read "Find initial voltage on the capacitor and initial current through the inductor." In Part (c) you are asked to find time-dependent voltage on the capacitor. 5. (10 Points) Repeat your s-domain analysis for Problem4 ...