Solution Chapter 4.docx

# A would you use the node voltage or mesh current

• 17

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a) Would you use the node-voltage or mesh-current method to find v dc ? Explain your choice. b) Find the value of v dc using the method selected in (a). c) Check your solution by showing the power developed equals the power dissipated. Fig. (16). 18) a) Use source transformations to find the current i o in the circuit in Fig. (17).

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b) Verify your solution by using the mesh-current method to find i o . Fig. (17). 19) a) Use a series of source transformations to find i o in the circuit in Fig. (18). b) Verify your solution by using the node-voltage method to find i o . 20) Find the Norton equivalent with respect to the terminals a and b for the circuit in Fig. (19). Fig. (19). Fig. (18). 21) Find the Thevenin equivalent with respect to the terminals a and b for the circuit in Fig. (20). 22) A Thévenin equivalent can also be determined from measurements made at the pair of terminals of interest. Assume the following measurements were made at the terminals a,b in the circuit in Fig. (21). When a 20 Ω resistor is connected to the terminals a,b, the voltage v ab is measured and found to be 100 V. When a 50 Ω resistor is connected to the terminals a,b, the voltage v ab is measured and found to be 200 V. Find the Thévenin equivalent of the network with respect to the terminals a,b.
Fig. (21). Fig. (20).

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23) An automobile battery, when connected to a car radio, provides 12.5 V to the radio. When connected to a set of headlights, it provides 11.7 V to the headlights. Assume the radio can be modeled as a 6.25 Ω resistor and the headlights can be modeled as a 0.65 Ω resistor. What are the Thévenin and Norton equivalents for the battery? 24) A voltmeter with a resistance of 85.5k ohm is used to measure the voltage v ab in the circuit in Fig. (22). a) What is the voltmeter reading? b) What is the percentage of error in the voltmeter reading if the percentage of error is defined as [(measured - actual) /actual] * 100.
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• Spring '16
• Nesma
• Fig., Thévenin's theorem, Voltage source, Norton's theorem, Current Source

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