EL ENG 16B Midterm: ee16B-fa2016-mt2-Arcak_Maharbiz-soln
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An answer without explanation is not acceptable and does not guarantee any credit: only the front pages will be scanned and. If you need more space, please ask for extra graded. paper instead of using the back pages: do not remove pages, as this disrupts the scanning. Instead, cross the parts that you don"t want us to grade. 1: (15 points) consider the circuit below that consists of two identical resistors, an inductor, a capacitor, and a voltage source whose voltage at time t is u(t). x1. R: (5 points) write an expression for the current i indicated on the circuit diagram in terms of x1 (the inductor current) and x2 (the capacitor voltage). 2: (10 points) write a state space model using the states x1(t), x2(t), and input u(t). Your nal answer should specify the a and b matrices, with entries that depend on r, l, c.
