Pedrow
Due: EE321
HW#3
P. Wednesday February 1
(30 Pts) Problem 1. In lecture and previous homework problems, you have seen the cookbook algorithm applied to first order circuits with and without a forcing function. You need additional experience with a second order circuit with cosinusoidal forcing function. Please use the cookbook algorithm to solve Example 8.12 on page 359 with the following modification: make the voltage source, v g , time-dependent with v g = 48 cos( 2 800t ) volts where v g = 48 volts in the authors original example. If Step 4 in the cookbook algorithm is too cumbersome in the time domain then solve it in the phasor domain and then convert your phasor to the time domain. For more help on Step 4, see the instructors solution set for HW 2 Problem 2. Use Matlab to plot your expression for v C (t ) for 0 < t < 6ms . Use Spice to produce v C (t ) for 0 < t < 6ms . With at least two complete sentences compare your Matlab and Spice results. Hand in hardcopy of your m-file and your .cir file or schematic depending on which Spice simulator you are using. (20 Pts) Problem 2. In lecture we observed how two inductors with mutual coupling can become an ideal transformer. The ideal transformer is a two-port device with well defined properties. Solve the following problem using the ideal transformer model (not the coupled coil model.) Solve the authors problem that appears at the bottom of page 426. It is labeled Assessing Objective 5 and 9.15. Do all of your phasor calculations in a Matlab m-file. See the instructor if you need help getting started with phasors in Matlab (phasors are merely complex numbers and Matlab handles those very easily). In calculations, Matlab always assumes that angles are given as radians. Turn in your handwritten circuit analysis but also hardcopy of your m-file. Give magnitude and phase angle (in degrees NOT radians) for phasor any that you submit as an answer. (20 Pts) Problem 3. In lecture we reviewed 3 phase circuits. Solve Problem 11.16 at the bottom of page 529. Do all of your phasor calculations in a Matlab m-file. Turn in your hand-written circuit analysis but also hardcopy of your m-file. Give magnitude and phase angle (in degrees NOT radians) for any phasor that you submit as an answer. (20 Pts) Problem 4. Consider the lecture on state-space circuit analysis. There was a handout that contained general concepts on one side and an example on the other side. In lecture the state equations were found for this circuit. In Problem 4, you are to make a small adjustment to the worked example and find the state equations for the modified circuit. In class the example showed an inductor, a resistor, and a capacitor all in parallel being driven by a current source. For Problem 4 please remove the resistor from its present location and place it in series with the current source. All other circuit parameters remain the same. To minimize confusion, the new problem is shown on page 2. Note that the output list has been altered for this problem. Your...