1 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)2 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.3 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?4 Problem 3: Op Amp Circuit Transfer Function (15 points total) (a) (10 points) Find the complex transfer function Vout(ω)/Vin(ω) 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 ω =0 (i.e. Vin is a DC voltage).5 Problem 4 Bode Plots (15 points) A circuit has the following transfer function 1 21 5001 201 5000 Sketch the Magnitude Bode Plot. Label all corner frequencies and slopesProblem 5 Dependent Source Let VDD = 5 V, RL = 1 kΩ, G = 7 mS.Please give both analytical and numerical answers. a) Find the current IB so that when b) Find the gain A = vo/vi of this circuit for Problem 5 Dependent Source Circuit Analysis (20 points) = 7 mS. analytical and numerical answers. so that when vi = 0, vo = 2 V. (10 pts) of this circuit for IB = 0. (10 pts) 67 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.8 (ii)(5 points) Implement your F function using the logic gates AND, OR, NOT. (5
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