Page 10 - Engineering Electromagnetics, 8th Edition
P. 10
CONTENTS
Preface xii Chapter 3
Electric Flux Density, Gauss’s Law,
and Divergence 48
Chapter 1
Vector Analysis 1 3.1 Electric Flux Density 48
3.2 Gauss’s Law 52
1.1 Scalars and Vectors 1 3.3 Application of Gauss’s Law: Some
1.2 Vector Algebra 2 Symmetrical Charge Distributions 56
1.3 The Rectangular Coordinate System 3 3.4 Application of Gauss’s Law: Differential
1.4 Vector Components and Unit Vectors 5 Volume Element 61
1.5 The Vector Field 8 3.5 Divergence and Maxwell’s First Equation 64
1.6 The Dot Product 9 3.6 The Vector Operator ∇ and the Divergence
1.7 The Cross Product 11 Theorem 67
1.8 Other Coordinate Systems: Circular References 70
Cylindrical Coordinates 13 Chapter 3 Problems 71
1.9 The Spherical Coordinate System 18
References 22 Chapter 4
Chapter 1 Problems 22 Energy and Potential 75
4.1 Energy Expended in Moving a Point Charge in
an Electric Field 76
Chapter 2
4.2 The Line Integral 77
Coulomb’s Law and Electric 4.3 Definition of Potential Difference
Field Intensity 26
and Potential 82
2.1 The Experimental Law of Coulomb 26 4.4 The Potential Field of a Point Charge 84
2.2 Electric Field Intensity 29 4.5 The Potential Field of a System of Charges:
2.3 Field Arising from a Continuous Volume Conservative Property 86
Charge Distribution 33 4.6 Potential Gradient 90
2.4 Field of a Line Charge 35 4.7 The Electric Dipole 95
2.5 Field of a Sheet of Charge 39 4.8 Energy Density in the Electrostatic
2.6 Streamlines and Sketches of Fields 41 Field 100
References 44 References 104
Chapter 2 Problems 44 Chapter 4 Problems 105
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