Test2S06 - Last Name Recitation Sect ECE 3054 Electrical...

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Unformatted text preview: Last Name: Recitation Sect. # : ECE 3054 Electrical Theory Term Test #2 March 31, 20406 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 6 problems that cover material since Test # 1. Different students will have different problem numbers. Each problem is worth 50 points. Work the problems on your paper. Do not write small or crowd your work and do not write on the back of your paper. 3. You may use one 8 1/2 by 11" sheet of paper with equations and other information. It may not have problems worked out in any form. It may be written on front and back. Put your name on thisaand 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 shown below. \/x n 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, lsc, and Rth for the terminals of RL and draw both the Thevenin and the Norton equivalent circuits 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 1/2 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 (a diode) that will be connected to terminals “A” and “B”. The characteristic curve for the diode is attached. Graphically determine the voltage across and current through the diode when connected to this circuit. 51- . 1K .Zh’n' A 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? Problem # 4 g This is not a transient problem) The switch in the circuit below closes at t = 0 and remains closed. 1. Determine the current through and the voltage across each element in the circuit, including the source, at: 1. The instant the switch closes. 2. After the switch has been closed long enough to reach steady state. You must give an explanation of how you determined the values. Prior to the switch closing, the current through the inductor is 5 amps and the voltage across the capacitor is 70 volts with directions and polarities shown. 3. Calculate the energy stored in the inductor and the capacitor at steady state conditions. _ IL (0 -> ‘- 5A. Problem # 5-1 In the following circuit, the switch closes at t = 0. Prior to t = 0, the current through the inductor is - 10 amps. t=0 _/ofl- /00v I]. (O ‘) = fl /0 A. 1. Write the differential equation needed to solve for IL(t). 2. Using that differential equation, solve for IL(t)pm, IL(t)comp, and IL(t)complete 3. Determine the time constant and how long it will take to reach steady-state conditions. 4. At what time will IL(t) = 5.0a? Problem # 5-2 In the following circuit, the switch opens at t = 0. Prior to t = 0, the voltage across the capacitor is — 20 volts. v. <o->= -20. 1. Write the differential equation needed to solve for Vc(t). 2. Using that differential equation, solve for Vc(t)p...t, Vc(t)comp, and Vc(t)complete 3. Determine the time constant and how long it will take to reach steady—state conditions. 4. At what time will Vc(t) =20.0v ? Problem # 6 Solve for the current due to each source acting alone and use those values to determine the total current IR . Verify you answer by solving for IR with all sources active. ...
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