Test2 - Last Name ECE 3054 Electrical Theory Term Test#2 1...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Last Name: ECE 3054 Electrical Theory Term Test #2 October 29, 2007 1. Read all of these instructions and follow them carefully or 5 points will be deducted from your grade for each time you do not comply. 2. Your test consists of 2 problems that were selected from a set of 8 problems that cover material since Test # 1. Different students will have different problem numbers. Each problem is worth 50 points. Work the problems on the paper provided. Do not write small or crowd your work and do not write on the back of any paper. 3. You may use one 8 1/2 by 11" sheet of paper with equations and other information. It may not have sample problems worked out in any form and it may not have any circuits drawn on it. It may be written on front and back. Put your name on this and hand it in with your test. 4. All work on this test is to be your own. You will neither give nor accept help from any other person. 5. Show all of your work ! Sign the following pledge before turning in your paper. I pledge that the work on this test is totally my own and that I have neither given nor received help. I pledge that I will not pass information, in any form, concerning this test to anyone who has not already taken the test. Print Name Signature Problem # 1 Use mesh-current analysis to solve for the mesh—currents in the circuit shown below. You must use the mesh-currents as defined in the circuit diagram. B. Use the mesh currents to determine the voltage across and current through the dependent source. Problem # 2 A. Determine the Thevenin and Norton equivalent circuits for the following circuit with respect to the load resistor, RL. Determine the values of Voc, Isc, and R... for the terminals of RL (without using the relationship, R“. = Voc/Ise except to check your results.) You must calculate each value independent of the other two. Draw both the Thevenin and the Norton equivalent circuits 15-9- /0-0- ,0” 0 303- 20-“. Elva“; B. Determine the maximum possible power in watts that can be delivered to the load resistor and the value of RL that will cause maximum power to be delivered. Set the value of the load resistor equal to 1/z the value that you determined will result in maximum power transfer and calculate the power to the load resistor at that value. Problem # 3 A. The linear circuit shown below has a non-linear element that will be connected to terminals “A” and “B”. The characteristic curve for the non-linear element was provided by the manufacturer and is attached. Graphically determine the voltage across and current through the non- linear clement when connected to this circuit. I511- Ion. 20a. B. What value of resistance connected to terminals “A” and “B” would result in maximum power transfer and what is the value of Pmax in watts? s 3. 2%, >9» son, . $3“ , >3 0 :. «MG 65x. , ~ m m .. $5.”. It: :4”.- M w “ iitiiimtlxizttas Q Qn\ m _ m w m m _ M m m m m . W H — Okmfiukuqfifflv Con 2249;” Problem # 4 (This is not a transient problem) The switch in the circuit below closes at t = 0 and remains closed. 1. Determine the following voltages and currents: 1. At the instant the switch closes, determine the values of V1, VL, Is and lo. 2. After the switch has been closed long enough to reach steady state, determine 15, IL, and Vc. You must show all of your work. Prior to the switch closing, the current through the inductor is -5 amps and the voltage across the capacitor is —80 volts with directions and polarities shown. I 3. Calculate the energy stored in the inductor and the capacitor at steady state conditions. \/ + l 5-“- 10-9- Problem # 5 In the following circuit, the switch closes at t = 0. Prior to t = 0, the current through the inductor is —- 50 ma. +70 500 IL /Ov 11109 = “ 50m? 1. Write the differential equation needed to solve for IL(t). (You will need a differential equation in current) 2. Using that differential equation, solve for IL(t)pm, IL(t)mmp, and IL(t)complcte 3. Determine the time constant and how long it will take to reach steady—state conditions. 4. At what time will IL(t) = -20ma? Problem # 6 In the following circuit, the switch opens at t = 0. Prior to t = 0, the voltage across the capacitor is —— 5 volts. 1. Write the differential equation needed to solve for Vc(t). (Y on will need a differential equation in voltage) 2. Using that differential equation, solve for Vc(t)pm, Vc(t)mp, and Vc(t)eompmeM 3. Determine the time constant and how long it will take to reach steady-state conditions. 4. At what time will Vc (t) = -1v? Problem # 7 Use the superposition theorem to determine the value of IR. 15‘- if; /0v 9 6"" 9 W)" 1. Solve for the current due to each source acting alone and use those values to determine the total current IR. 2. Verify you answer by solving for In with all sources active. Problem # 8 Part A. In the circuit shown below, the voltage source is sinusoidal. Write the differential equation needed to solve for the current through the inductor. Solve for the particular part of the solution only. This includes determining the values of all constants. 50-9— L= /OOMH Part B. For the R, L, C, circuit shown below, determine the damping ratio and from that determine whether the transient part of the solution for vc(t) will be over-damped, critically damped, or under-damped. Show all of your work. Write the correct form for the complementary part of vc(t). You do not need to solve for any of the constants. 4w) 2 3 C05 (37%) ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern