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1 Chapter 4 Methods of Analysis of Resistive Circuits.

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Presentation on theme: "1 Chapter 4 Methods of Analysis of Resistive Circuits."— Presentation transcript:

1 1 Chapter 4 Methods of Analysis of Resistive Circuits

2 2 Node voltage analysis - with independent source current source voltage source - with dependent source Mesh current analysis - with independent source voltage source current source - with dependent source Resistive Circuit Analysis

3 3 Figure 4.2-1 (a) a circuit with three nodes. (b) The circuit after the nodes have been labeled and a reference node has been selected and marked. (c) Using voltmeters to measure the node voltages. Node Voltage Analysis – with current sources

4 4 Figure 4.2-2 Node voltages, v1 and v2, and element voltage, va, of a circuit element. Figure 4.2-3 Node voltages, v 1 and v 2, and element voltage, v 1- v 2, of a (a) generic circuit element, (b) voltage source, and (c) resistor. Node Voltage Analysis – with current sources

5 5 Figure 4.2-4 (a) A circuit with three resistors. (b) The resistor voltages expressed as functions of the node voltages. (c) The resistor currents expressed as functions of the node voltages. Node Voltage Analysis – with current sources

6 6 Example 4.2-1 Example 4.2-2 Example 4.2-3 Node Voltage Analysis – with current sources

7 7 Exercise 4.2-1 Exercise 4.2-2 Node Voltage Analysis – with current sources

8 8 Figure 4.3-1 Circuit with an independent voltage source and an independent current sources. Figure 4.3-2 Circuit with a supernode that incorporate v a and v b. Node Voltage Analysis – with current & voltage sources

9 9 Example 4.3-1 Example 4.3-2 Node Voltage Analysis – with current & voltage sources

10 10 Example 4.3-3 Node Voltage Analysis – with current & voltage sources Exercise 4.3-1Exercise 4.3-2

11 11 Example 4.4-1 Example 4.4-2 Example 4.4-3 Node Voltage Analysis – with dependent sources

12 12 Exercise 4.4-1 Exercise 4.4-2 Node Voltage Analysis – with dependent sources

13 13 Figure 4.5-1 Nonplanar circuit with a crossover. Mesh Current Analysis – with independent voltage source Figure 4.5-2 Circuit with four meshes. Each mesh is identified by dashed lines. - Loop - Mesh : 다른 loop를 포함하고 있지 않은 loop

14 14 Figure 4.5-3 (a) A circuit with two meshes, (b) Inserting ammeters to measure the mesh currents. Mesh Current Analysis – with independent voltage source Figure 4.5-4 Mesh currents, i1 and i2, and element current, i1 – i2, of a (a) generic circuit element, (b) current source, and (c) resistor.

15 15 Figure 4.5-5 (a) A circuit. (b) The resistor currents expressed as functions of the mesh currents. (c) The resistor voltages expressed as functions of the mesh currents. Mesh Current Analysis – with independent voltage source

16 16 Figure 4.5-6 Circuit with three mesh currents and two voltage sources. Mesh Current Analysis – with two independent voltage sources Exercise 4.5-1

17 17 Figure 4.6-2 Circuit with an independent current source common to both meshes. Figure 4.6-1 Circuit with an independent voltage source and an independent current source. Mesh Current Analysis – with current and voltage source

18 18 Example 4.6-1 Example 4.6-2 Mesh Current Analysis – with current and voltage source Figure 4.6-4 Circuit with a supermesh that incorporates mesh 1 and mesh 2. The supermesh is indicated by the dashed line.

19 19 Exercise 4.6-1 Exercise 4.6-2 Mesh Current Analysis – with current and voltage source

20 20 Example 4.7-1 Mesh Current Analysis – with dependent source

21 21 Example 4.7-2 Mesh Current Analysis – with dependent source

22 22 Example 4.8-1 Figure 4.8-2 (a) The circuit from Figure 4.8-1 after replacing the ammeter by a short circuit. (b) The circuit after labeling the meshes. Node Voltage & Mesh Current Analysis - comparison

23 23 Example 4.8-2 Figure 4.8-4 (a) The circuit from Figure 4.8-3 after replacing the voltmeter by an open circuit. (b) The circuit after labeling the nodes. Node Voltage & Mesh Current Analysis - comparison

24 24 Figure 4.11-1 Proposed circuit for measuring and displaying the angular position of the potentiometer shaft. Figure 4.11-2 Circuit diagram containing models of the power supplies, voltmeter, and potentiometer. Potentiometer Angle Display

25 25 Figure 4.11-4 The final designed circuit. Figure 4.11-3 The redrawn circuit showing the mode v 1. Potentiometer Angle Display

26 26 Problems 4.2 – 2, 4, 6 4.3 – 3, 6, 9, 12 4.4 – 2, 4, 8, 10, 16 4.5 – 1, 3, 5 4.6 – 2, 6, 8, 12 4.7 – 2, 4, 8, 12, 14 4.8 – 2, 3 Homework #3


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