1 Chapter 4 Methods of Analysis of Resistive Circuits

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 Figure (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 Figure Node voltages, v1 and v2, and element voltage, va, of a circuit element. Figure 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 Figure (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 Example Example Example Node Voltage Analysis – with current sources

7 Exercise Exercise Node Voltage Analysis – with current sources

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

9 Example Example Node Voltage Analysis – with current & voltage sources

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

11 Example Example Example Node Voltage Analysis – with dependent sources

12 Exercise Exercise Node Voltage Analysis – with dependent sources

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

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

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

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

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

19 Exercise Exercise Mesh Current Analysis – with current and voltage source

20 Example Mesh Current Analysis – with dependent source

21 Example Mesh Current Analysis – with dependent source

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

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

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

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

26 Problems 4.2 – 2, 4, – 3, 6, 9, – 2, 4, 8, 10, – 1, 3, – 2, 6, 8, – 2, 4, 8, 12, – 2, 3 Homework #3