EL ENG 16B Midterm: ee16B-fa2017-mt2-Lustig_Maharbiz-exam

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Sid#: (after the exam begins, add your sid# in the top right corner of each page) You have 1:20 hours for 5 problems: scan through the exam before you start. Try not to spend too much time on any one part. Some problems are longer than others, take that into consideration: show your work. An answer without explanation is not acceptable and does not guarantee any credit: only the front pages will be scanned and graded. Back pages won"t be scanned; you can use them as scratch paper: do not remove pages, as this disrupts the scanning. If needed, cross out any parts that you don"t want us to grade. Sid#: (30 points: write a state-space model for the system. Use ~x(t) = (cid:20) vc1(t) vc2(t) (cid:21) as state variables. Note, that u (t) is a current source. d~x(t) dt = u(t) Explain the physical meaning of stability or instability for this circuit.