Lab Experiment #4- Thevenin’s Theorem & Max Power Transfer.docx

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Carleton University *

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1043

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Electrical Engineering

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Feb 20, 2024

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Lab Experiment #4: Thevenin’s Theorem & Max Power Transfer ECOR1043: Circuits Lab Group No: 1043C4-G-18 Group Member 1: 101297039 Numan Kadir Celik Group Member 2: 101326327 Mason Hassan Performed on: 06/01/2024. Submitted on: 09/02/2024.
7.1 Verification of Thevenin Theorem 3. Answer: I L = 3.20 mA Answer: V L = 472mV 4.c) Answer: V T H = 689mV Answer: R T H = 432Ω Answer: I SC = 1.595mA 6. Answer: I L = 1.45mA Answer: V L =325mV 7.2 Verification of Maximum Power Transfer Resistance R L Voltage V L Power P L 0Ω 0V 0 100Ω 222mV 542µW 150Ω 285mV 542µW 220Ω 352mV 563µW 470Ω 474mV 478µW 0V 0 W 8.1 Verification of Thevenin Theorem 1.C) Answer: I L = 1.021mA
e) Take a clear screenshot/photo of the circuit showing all the three currents. g) Answer: V L= 480.04mV
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(i) Take a clear screenshot of the circuit showing all the four node voltages 2.d) Answer: V T H =687.5mV
(f) Take a clear screenshots of the circuit showing all the four node voltages . 3. e) Answer: I SC = 3.3846mA Answer: R T H = 203.126 Ω (f) Answer: P max = 582 µW
(i) Take a clear screenshot of the circuit showing all the three currents. 8.2 Verification of Maximum Power Transfer Resistance Voltage Current Power 0Ω 0 I 0W 50Ω 135.8mV 2.716mA 369µW 100Ω 226.8mV 2.268mA 514µW 150Ω 292.04mV 1.9469mA 569µW 220Ω 357.46mV 1.6248mA 581µW 470Ω 480.04mV 1.0214mA 490µW 1000Ω 571.43mV 571.43uA 327µW V 0 0W
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8.3 Complete Analysis of a Circuit 1. V T H = 4.5056V I SC = 2.5746mA R T H =1750 2. Answer: P max =9.137mW 3.Draw Thevenin and Norton equivalents of the circuit depicting values of vT H , RRH and unknown load RL.
5. Take a clear screenshot of the circuit for the last (maximum) value of the load, R L clearly shows load current I L and load voltage V L . 6. Resistance Voltage Current Power 0 0 I 0 300 1.7212V 5.7373mA 9.88mW 500 2.453V 4.9061mA 12.03mW 700 2.9996V 4.2852mA 12.85mW 900 3.4234V 3.8038mA 13.02mW 1500 4.2676V 2.8450mA 12.14mW 3000 5.2358V 1.7453mA 9.14mW V 0 0
9 Discussion Questions 1. The advantage is that thevenin theorem can be used to simplify circuits, therefore making circuits easier to beehive under other conditions. Using thevenin's theorem with iL and vL we can find v_th and R_th a lot easier and then can be used to simplify further analysis of the circuit 2. a) b) At the peak of each graph the maximum is 581µW for the first graph and then 13.02mW for the second graph 3. a ) Rth = Vth / Isc = 4.5056V / 2.5746mA = 1750Ω Pmax = (Vth)^2 / 4Rth = (4.5056V)^2 / 4 x 1750 = 5.755mW b) Many factors can be taken from the difference between numbers obviously Measurement errors or human errors can have a huge error in the work done compared to measurements which is exact numbers in a formula
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