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Exam2 V2 with Solutions

# Exam2 V2 with Solutions - Version 2 Student PUID Name IE...

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1 Version 2 IE 474. Industrial Control Systems Exam 2, Fall 2011 Solutions Please contact Mithun or Yu-Ting by 11/22/2011 for regrading requests Student PUID #: Name :

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2 1. Consider the circuit below. a. (33 points) Find the transfer function (assume initial conditions zero). The output is the voltage taken between nodes A and B. b. (extra credit 16 points) Find the state-space model of the system. Tip: Use complex impedances. Solution: Student PUID #: Score: (Leave Score blank) Z 1 Z 2 Z 3 V i Vo I I 1 I 2
3 ( ) ( ) Plug in the impedance value: ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( )( ) ( )( ) ( )( )

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4 2. (34 points) Find the transfer function, G(s)=V o (s)/V i (s) for the operational amplifier circuit. Use complex impedances. Solution: For , let Therefore, ( ) ( ) And for , ( ) Since, the first circuit is a non-inverting op-amp and the second is an inverting amplifier,
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