mt2.pdf - EECS 16B Designing Information Devices and Systems II Fall 2018 Elad Alon and Miki Lustig Midterm 2 Name SID Discussion Section and TA(Monday

# mt2.pdf - EECS 16B Designing Information Devices and...

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EECS 16B Designing Information Devices and Systems II Fall 2018 Elad Alon and Miki Lustig Midterm 2 Name: SID: Discussion Section and TA (Monday): Discussion Section and TA (Wednesday): Lab Section and TA: Name and SID of left neighbor: Name and SID of right neighbor: Instructions • You have 120 minutes to complete this exam. Check that the exam contains 12 pages total. • After the exam begins, write your SID in the top right corner of each page of the exam. • Only the front pages will be scanned and graded; you can use the back pages as scratch paper. • Do not remove any pages from the exam or unstaple the exam as this disrupts scanning. If needed, cross out any work you do not want to be graded. • Provide explanation with every answer. Final answers with no explanation will not be given credit. Problem Points 1 50 2 40 3 30 4 40 5 30 Table of Unit Prefixes Prefix M k m μ n p f Value 10 6 10 3 10 - 3 10 - 6 10 - 9 10 - 12 10 - 15

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SID: 1. Circuit Controls (50 points) Consider the following circuit with ideal op-amps: R R C - + V 2 C - + - + u ( t ) - + + - V 1 (a) Write a state space model d ~ x ( t ) dt = A ~ x ( t )+ Bu ( t ) with ~ x ( t ) = " V 1 ( t ) V 2 ( t ) # .
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