Any calculator that does not have phone/communication/photo capability is allowed. You have 75 minutes from the start of the exam to complete the exam. NOTES: You may assume all numerical quantities given in the exam problems are known to 3 significant figures, and calculate your answers accordingly. You must show all of your work to receive credit.
SEMESTER EXAM 1 EE 302 02 October 2013 PLEASE ATTEMPT ALL PROBLEMS AND SHOW ALL WORK! WRITE ALL EXAM SOLUTIONS IN YOUR BLUE BOOK – WE WILL GRADE ONLY WHAT IS IN YOUR BLUE BOOK. No class notes, books, homework assignments, or other materials are allowed. You may use a calculator for the exam. Any calculator that does not have phone/communication/photo capability is allowed. You have 75 minutes from the start of the exam to complete the exam. NOTES: You may assume all numerical quantities given in the exam problems are known to 3 significant figures, and calculate your answers accordingly. You must show all of your work to receive credit. If you need to make an assumption to answer a question, state it explicitly. 1. [20 points total] Consider the circuit shown at right and answer each of the questions below clearly and concisely. Each part should require a few sentences at most. (a) What type of dependent source is used in this circuit? (b) For what value of the parameter K does this circuit become valid, i.e., physically realizable without violation of a fundamental circuit law? Which fundamental circuit law did you use to determine this? Explain your reasoning. (c) Explain the passive sign convention clearly in words. Find the power associated with the 10V ideal voltage source and the 5 resistor, and indicate whether power is being supplied or dissipated by each. (d) If both current sources dissipate (absorb) the same amount of power, find the power dissipated by each. Which fundamental conservation law did you use to determine this? Explain your reasoning. 2. [20 points total] Consider the circuit shown immediately below. (a) Calculate the current ix that flows through the 2 resistor and the voltage vo across the 4 resistor. (b) Calculate the voltage v1 across the dependent current source, and the current i2 flowing through the dependent voltage source. From these, calculate the power supplied or dissipated (indicate which) by each of the two dependent sources. 3. [20 points total] Consider the circuit shown at right. (a) With the switch in the open position as shown, calculate the currents Ix, Iy, and Iz in the 50, 25, and 30 resistors, respectively. (b) With the switch in the open position as shown, calculate the power supplied by the current source. (c) Repeat parts (a) and (b), but now with the switch in the closed position. 4. [20 points total] Consider the circuit shown at right. (a) Calculate the value of the current I1 through the 2 resistor. (b) Calculate the power supplied or dissipated by each of the four sources in the circuit. Be sure to indicate, for each source, whether that source is supplying or dissipating power. (c) Show explicitly that power is conserved in this circuit, i.e., that total power supplied is equal to total power dissipated. 5. [20 points total] Consider the circuit shown below. (a) Calculate the equivalent resistance of this circuit between the terminals labeled a and b with the switch in the open position (as shown). (b) With the switch open and a 12V ideal voltage source connected between terminals a and b, calculate the power dissipated in the 5 and 8 resistors in the grey dashed circles. (c) With the switch closed, calculate the equivalent resistance between terminals a and b. (d) With the switch closed and a 6A ideal current source connected between terminals a and b, calculate the power dissipated in the 4, 5, and 8 resistors in the dashed circles. 0 2 4 6 8 10 12 14 16 18 20 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96 100 Number of Students Score EE 302 Semester Exam 1 Results ‐ Fall 2013 All sections Mean = 46.3 Median = 47 Standard Deviation = 21.6 Range = 0‐96