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Unformatted text preview: Lecture S13 Muddiest Points General Comments In todays lecture, we began considering circuits with sources. We saw that the state-space equations for such a system generally have the form x = Ax + Bu (32) This is the state equation . In Lecture S14, we will look at the measurement equation, which will complete the description of the relationship between input and output. Responses to Muddiest-Part-of-the-Lecture Cards (46 cards) 1. General confusion about the last PRS question. (5 students) I will try to post a discussion. Im running behind updating the PRS questions. 2. For the PRS question, I got different signs than in your solution. I got ( u ( t ) v 1 ( t )) dv 1 R C dt + i 2 = 0 (33) (1) I think that the only term you got wrong is the capacitor current. You drew it as up it should be down, since the + sign is on top. 3. Given the eigenvalues, I can find eigenvectors. How do I find the eigenvalues? (1) Please see the reading assignment. The short answer is to solve det( sI A ) = 0 (34) 4. When dealing with states, can you just focus on the states and ignore everything else in between. . . ? (1) Not sure what you mean. The notes have a step-by-step procedure which you can follow. 5. Can you go over specific differences in calculating information about a capacitor vs. and inductor? (1) The question is vague enough that Im not sure that I...
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- Fall '05