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Chapter 4 Methods of Analysis of Resistive Circuits

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Title: Chapter 4 Methods of Analysis of Resistive Circuits


1
Chapter 4Methods of Analysis of Resistive
Circuits
2
Node voltage analysis - with independent
source current source voltage source -
with dependent sourceMesh current analysis
- with independent source voltage
source current source - with dependent source
Resistive Circuit Analysis
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
Figure 4.2-2Node voltages, v1 and v2, and
element voltage, va, of a circuit element.
Node Voltage Analysis with current sources
Figure 4.2-3 Node voltages, v1 and v2, and
element voltage, v1-v2, of a(a) generic circuit
element, (b) voltage source, and (c) resistor.
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
Node Voltage Analysis with current sources
Example 4.2-1
Example 4.2-2
Example 4.2-3
7
Node Voltage Analysis with current sources
Exercise 4.2-1
Exercise 4.2-2
8
Figure 4.3-1Circuit with an independent voltage
source and an independent current sources.
Node Voltage Analysis with current voltage
sources
Figure 4.3-2Circuit with a supernode that
incorporate va and vb.
9
Node Voltage Analysis with current voltage
sources
Example 4.3-1
Example 4.3-2
10
Node Voltage Analysis with current voltage
sources
Example 4.3-3
Exercise 4.3-1
Exercise 4.3-2
11
Node Voltage Analysis with dependent sources
Example 4.4-1
Example 4.4-2
Example 4.4-3
12
Node Voltage Analysis with dependent sources
Exercise 4.4-1
Exercise 4.4-2
13
Figure 4.5-1Nonplanar circuit with a crossover.
Mesh Current Analysis with independent
voltage source
- Loop- Mesh ?? loop? ???? ?? ?? loop
Figure 4.5-2Circuit with four meshes. Each mesh
is identified by dashed lines.
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
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
Figure 4.5-6Circuit with three mesh currents and
two voltage sources.
Mesh Current Analysis with two independent
voltage sources
Exercise 4.5-1
17
Figure 4.6-2Circuit with an independent current
source common to both meshes.
Mesh Current Analysis with current and
voltage source
Figure 4.6-1 Circuit with an independent voltage
source and an independent current source.
18
Figure 4.6-4 Circuit with a supermesh that
incorporates mesh 1 and mesh 2. The supermesh is
indicated by the dashed line.
Mesh Current Analysis with current and
voltage source
Example 4.6-1
Example 4.6-2
19
Mesh Current Analysis with current and
voltage source
Exercise 4.6-1
Exercise 4.6-2
20
Mesh Current Analysis with dependent source
Example 4.7-1
21
Mesh Current Analysis with dependent source
Example 4.7-2
22
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
Example 4.8-1
23
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
Example 4.8-2
24
Figure 4.11-1Proposed circuit for measuring and
displaying the angular position of the
potentiometer shaft.
Potentiometer Angle Display
Figure 4.11-2Circuit diagram containing models
of the power supplies, voltmeter, and
potentiometer.
25
Figure 4.11-4 The final designed circuit.
Potentiometer Angle Display
Figure 4.11-3 The redrawn circuit showing the
mode v1.
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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