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test1-sample1 - of the system to an impulsive input voltage...

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EE 3657 Mid-term I - Feb 27, 2007 Duration: 1 hour 15 minutes 1. Linearize the nonlinear equations ° z 1 z 2 ± = ° xy x 2 + 8 xy + 3 y 2 ± in the region de°ned by 2 ° x ° 4 ; 10 ° y ° 12 . (50) 2. In response to a voltage source v ( t ) applied to a series combination of a capacitor C = 1 F , an inductor L = 1 H , and a resistor R = 2 ° ; a current i ( t ) ±ows in the circuit. Find an expression for the transfer function I ( s ) V ( s ) .
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Unformatted text preview: of the system to an impulsive input voltage would be underdamped, overdamped, or critically damped. You can work in the time domain or in the Laplace domain. (40) 3. Why is it impossible to obtain oscillations in a &rst-order system? Use an example to illustrate your point if you like. (10) 1...
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