EECS 40 Fall 2009 Bonus Points Quiz Dec 8 2009 Total Time Allotted 60 minutes DO ALL WORK ON EXAM PAGES Exam paper has a total of 8 pages including cover page 1 Closed book exam You are allowed to bring two sheets 8 5 x 11 of notes 2 You can use a calculator NO cell phone or computer 3 If you put down the wrong answer partial credits will be given only if you show the correct steps 4 Points will be taken off for answers without units 5 Bonus points 0 5 Quiz points 120 midterm1 score midterm2 score 120 If your midterm1 midterm2 score is 120 do not take this exam Otherwise negative bonus points will be recorded Last Family Name First Name Student ID Discussion Session or TA Signature Problem 1 10 points Problem 2 20 Points Problem 3 15 Points Problem 4 15 Points Problem 5 20 Points Problem 6 20 points TOTAL 100 points 1 Problem 1 Impedance 10 points Find the Thevenin equivalent impedance at 60Hz for the following circuit across terminals a and b Give numerical answers for both the real and imaginary parts 2 Problem 2 First Order Transient 20 points Consider the circuit shown in figure below Prior to t 0 v1 8V and v2 12 V a 5 points Immediately after the switch is closed what is the value of the current i e i 0 b 5 points Use KCL to write a differential equation for this circuit at t 0 Do not solev this differential equation c 5 points What is the time constant of this circuit d 5 points What value does v2 approach as t becomes very large 3 Problem 3 Op Amp Circuit Transfer Function 15 points total a 10 points Find the complex transfer function Vout Vin of the following op amp circuit Assume the op amp is ideal Watch your units b 5 points Describe in 10 words or less what will happen to the op amp circuit when 0 i e Vin is a DC voltage 4 Problem 4 Bode Plots 15 points A circuit has the following transfer function 1 1 1 2 500 1 20 5000 Sketch the Magnitude Bode Plot Label all corner frequencies and slopes 5 Problem 5 Dependent Source Circuit Analysis 20 points Let VDD 5 V RL 1 k G 7 mS Please give both analytical and numerical answers a Find the current IB so that when vi 0 vo 2 V 10 pts b Find the gain A vo vi of this circuit for IB 0 10 pts 6 Problem 6 Boolean Algebra and Karnaugh Maps 20 points total A A 3 variable Karnaugh map is shown below i 5 points Write down the Boolean expression with sum of products ii 5 points Implement the function with NAND gates only Draw your circuit B The truth table of a logic function F is shown below B T C F 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 i 5 points Simplify the logic function F using the sum of products method 7 ii 5 points Implement your F function using the logic gates AND OR NOT 5 pts 8 9
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