Table of Contents - Solving DC and AC Circuits by Example Using Matlab

Solving DC and AC Circuits by Example Using Matlab

TABLE OF CONTENTS

1. History and Basic Concepts
	1.1 Early History – Charge and Voltage
	1.2 Current – Oersted, Ampere, Faraday, and Henry
		A Note on Units
		The First Electric Motor
		Electromagnetic Induction
	1.3 Electric Circuits – Ohm and Kirchhoff
		Kirchhoff’s Current and Voltage Laws
	1.4 Electric and Magnetic Fields – Maxwell, Hertz, and Einstein
		The Discovery of Electromagnetic Waves
		Electromagnetism and Relativity
	1.5 Electrical Engineering in the Twentieth Century
	Further Reading
	Problems

2. Circuit Elements
	2.1 Resistors and Ohm’s Law
		Example 1 – Ohm’s law: voltage sources
		Example 2 – Ohm’s law: current sources
	2.2 Series and Parallel Resistors
		Example 3 – Equivalent Resistances
	2.3 Capacitors
		Example 4 – Sinusoidal Voltage on a Capacitor
	2.4 Capacitors in Series and Parallel
		Example 5 – Capacitors in Series and Parallel
	2.5 Inductors
		Example 6 – Sinusoidal Voltage on an Inductor
	2.6 Inductors in Series and Parallel
		Example 7 – Inductors in Series and Parallel
	Problems

3. Kirchhoff's Laws
	3.1 Circuit Topology
	3.2 Kirchhoff's Current Law
		Example 8 – Kirchhoff's Current Law
	3.3 Kirchhoff's Voltage Law
		Example 9 – Kirchhoff's Voltage Law
	3.4 D/A Converter
		Example 10 – D/A Converter
	Problems

4. Sinusoidal Signals and Phasors
	4.1 Sinusoidal Signals
		Example 11 – Sinusoidal Signals
	4.2 Root-Mean-Square (RMS) Values
		Example 12 – RMS Voltage
		Example 13 – RMS Current
	4.3 Complex Numbers and Phasors
		Example 14 – Complex Numbers
		Example 15 – Complex Number Arithmetic
	4.4 Impedance and Admittance
		Capacitor
		Inductor
		Example 16 – R-L Series Circuit
		Example 17 – R-C Parallel Circuit
	Problems

5. Basic Circuit Analysis
	5.1 Voltage Divider
		Example 18 – Voltage Divider
		Example 19 – R-L Series Circuit
		Example 20 – R-C Series Circuit
		Example 21 – RLC Circuit
	5.2 Wheatstone Bridge
		Example 22 – Wheatstone Bridge
	5.3 Current Division
		Example 23 – Current Division
		Example 24 – R-C Parallel Circuit
		Example 25 – R-L Parallel Circuit
	5.4 Source Transformation
		Example 26 – DC Source Transformation
		Example 27 – Source Transformation
		Example 28 – AC Source Transformation
	Problems

6. Operational Amplifiers (Op Amps)
	6.1 Ideal Op Amp
	6.2 Non-inverting Amplifier
		Example 29 – Non-inverting Amplifier
	6.3 Inverting Amplifier
		Example 30 – Inverting Amplifier
	6.4 Differential Amplifier
		Example 31 – Differential Amplifier
		Example 32 – Instrumentation Amplifier
	6.5 Active Filters
		Example 33 – Low-pass Filter
		Example 34 – High-pass Filter
	6.6 Current-to-Voltage Converter
		Example 35 – Photodiode Circuit
	Problems

7. Mesh and Nodal Analysis
	7.1 Mesh Analysis
		Example 36 – Mesh Analysis
	7.2 Mesh Analysis by Inspection
		Example 37 – Mesh Analysis by Inspection
		Example 38 – AC Mesh Analysis by Inspection
	7.3 Nodal Analysis
		Example 39 – Nodal Analysis
	7.4 Nodal Analysis by Inspection
		Example 40 – Nodal Analysis by Inspection
		Example 41 – AC Nodal Analysis by Inspection
	7.5 Mesh Analysis with Voltage and Current Sources
		Example 42 – Mesh Analysis with Voltage and Current Sources
		Example 43 – AC Mesh with Voltage and Current Sources
	7.6 Nodal Analysis with Current and Voltage Sources
		Example 44 – Nodal Analysis with Voltage and Current Sources
		Example 45 – AC Nodal with Voltage and Current Sources
	Problems

8. Circuit Theorems
	8.1 Superposition
		Example 46 – Superposition
		Example 47 – AC Superposition
	8.2 Thevenin’s and Norton’s Theorems
		Example 48 – Thevenin’s Theorem
		Example 49 – Norton’s Theorem
		Example 50 – AC Thevenin’s Theorem
	8.3 Maximum Power Transfer
		Example 51 – Maximum Power Transfer
	Problems

9. Power and Transformers
	9.1 Instantaneous and Average Power
		Example 52 – Instantaneous and Average Power
		Example 53 – Voltages and Average Power in Resonant Circuits
	9.2 Ideal Transformer
		Example 54 – Transformer Network
	9.3 Complex Power
		Power Factor Correction
		Example 55 – Power Factor Correction
	Problems

10. DC Motors
	10.1 Operation of a DC Motor
		Back Emf
	10.2 Motor Equations
		Power and Torque
		Example 56 – Motor Speed
		Example 57 – Armature Current and Power
	Problems

Appendix A –Addition and Subtraction of Vectors
	A.1 Scalars and Vectors
	A.2 Addition of Vectors
	A.3 Subtraction of Vectors
	A.4 Unit Vectors and Coordinate Systems
	A.5 Addition of Vectors by Components
	A.6 3-Diminsional Vectors
	A.7 Direction Cosines
	Examples
	Problems
Appendix B – The Scalar or Dot Product
	B.1 Definition of the Dot Product
	B.2 Dot Product and Vector Components
	B.3 Dot Product Properties
	Examples
	Problems
Appendix C – The Vector or Cross Product
	C.1 Definition of the Cross Product
	C.2 Distributive Law for the Cross Product
	C.3 Cross Product and Vector Components
	C.4 Associative Law
	C.5 Cross Product Geometric Properties
	C.6 Scalar Triple Product
	Examples
	Problems
Appendix D – Matrices
	D.1 Solving Linear Equations
		Matrices
		Matrix Inverse
	Examples
	Problems