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EECS 40 Midterm
Fall 2001
Professor Oldham
Guidelines:
- Closed book and notes except 1 page of formulas.
- You may use a calculator
- Do not unstaple the midterm.
- Show all your work and reasoning on the exam in order to receive full or partial credit.
- This exam contains 6 problems and corresponding worksheets plus the cover page.
- Do not ask questions during the exam. If you believe there is an error, please point it out. If you believe there is an ambiguity, explain your interpretation in your answer.
Problem 1 (15 points)
Hint: Use the easiest possible method to solve these problems.
(a) In the circuit below, find VA, VB, VC.
(b) In the circuit below, find VA, VB, VC.
Problem 2 (21 points)
The switch is to the left (A connected to B) for a very long time prior to t = 0, at which time the switch suddenly swings to the right (connecting B to D).
(a) What are the values of VA, VB, VC, VD, iB at t = 0-?
(b) What are the values of VA, VB, VC, VD, iB at t = 0+?
(c) What are the values of VA, VB, VC, VD, iB at t >> 0?
(d) On the axes, please make a neat sketch of VC(t). Label the axes.
(e) Write an equation for VC(t).
Problem 4 (16 points) - Nodal Analysis
(a) In this problem you are to use nodal analysis to find a set of equations enabling you to find the values of VX, VY, VZ, and VW. First, identify which of the four are really unknown node voltages and secondly, write sufficient equations to find the four values. Hint: If, for example, two of the voltages are known, you first write these two values (known node voltages), then you would need twp nodal equations for the two unknowns.
NOTE: DO NOT solve the equations.
(b) For the circuit below, we are interested in Va, Vb, Vc; first identify which of these are known, and then write sufficient equations to solve for the unknown voltages. DO NOT SOLVE.
(b) Being a smart Cal student, you think it is wise to check out the work of the high-paid Stanford engineer. Can you write down the logic expression for Y and for F? To get full credit you must derive and simplify the logic expression and you must show all of your work.
Problem 6 (15 points)
(a) You find a tremendous bargain on a transmogrifier at a flea market. You do not know what it is, but it's a great big black plastic box with two terminals and it's labeled "type 1 transmogrifier," and most importantly, the price is 50 cents. You take it home and measure its I- V characteristics and plot I versus V, as shown. Now your lab partner connects the device into the circuit shown and you find the box gets warm. How much power is the transmogrifier consuming when connected this way?
