Engineering Electromagnetics

Preface
1 Vector Algebra
1.1 Introduction
1.2 Scalars and Vectors
1.2.1 Magnitude and Direction of Vectors: The Unit Vector and Components of a Vector
1.2.2 Vector Addition and Subtraction
1.2.3 Vector Scaling
1.3 Products of Vectors
1.3.1 The Scalar Product
1.3.2 The Vector Product
1.3.3 Multiple Vector and Scalar Products
1.4 Definition of Fields
1.4.1 Scalar Fields
1.4.2 Vector Fields
1.5 Systems of Coordinates
1.5.1 The Cartesian Coordinate System
1.5.2 The Cylindrical Coordinate System
1.5.3 The Spherical Coordinate System
1.5.4 Transformation from Cylindrical to Spherical\penalty \@M \ Coordinates
1.6 Position Vectors
2 Vector Calculus
2.1 Introduction
2.2 Integration of Scalar and Vector\penalty \@M \ Functions
2.2.1 Line Integrals
2.2.2 Surface Integrals
2.2.3 Volume Integrals
2.3 Differentiation of Scalar and Vector\penalty \@M \ Functions
2.3.1 The Gradient of a Scalar Function
2.3.1.1 Gradient in Cylindrical Coordinates
2.3.1.2 Gradient in Spherical Coordinates
2.3.2 The Divergence of a Vector Field
2.3.2.1 Divergence in Cartesian Coordinates
2.3.2.2 Divergence in Cylindrical and Spherical Coordinates
2.3.3 The Divergence Theorem
2.3.4 Circulation of a Vector and the Curl
2.3.4.1 Circulation of a Vector Field
2.3.5 Stokes'Theorem
2.4 Conservative and Nonconservative\penalty \@M \ Fields
2.5 Null Vector Identities and Classification of Vector Fields
2.5.1 The Helmholtz Theorem
2.5.2 Second-Order Operators
2.5.3 Other Vector Identities
3 Coulomb's\penalty \@M \ Law and the Electric Field
3.1 Introduction
3.2 Charge and Charge Density
3.3 Coulomb's Law
3.4 The Electric Field Intensity
3.4.1 Electric Fields of Point Charges
3.4.1.1 Superposition of Electric Fields
3.4.1.2 Electric Field Lines
3.4.2 Electric Fields of Charge Distributions
3.4.2.1 LineCharge Distributions
3.4.2.2 Surface Charge Distributions
3.4.2.3 Volume Charge Distributions
3.5 The Electric Flux Density: An\penalty \@M \ Initial\penalty \@M \ Definition
3.6 Applications
3.7 Experiments
4 Gauss's\penalty \@M \ Law and the Electric\penalty \@M \ Potential
4.1 Introduction
4.2 The Electrostatic Field: Postulates
4.3 Gauss's Law
4.3.1 Applications of Gauss's Law
4.3.1.1 Calculation of the Electric Field Intensity
4.3.1.2 Calculation of Equivalent Charges
4.4 The Electric Potential
4.4.1 Electric Potential due to Point Charges
4.4.2 Electric Potential due to Distributed Charges
4.4.3 Calculation of Electric Field Intensity from Potential
4.5 Materials in the Electric Field
4.5.1 Conductors
4.5.1.1 Electric Field at the Surface of a Conductor
4.5.2 Dielectric Materials
4.5.3 Polarization and the Polarization Vector
4.5.4 Electric Flux Density and Permittivity
4.5.4.1 Linearity, Homogeneity, and Isotropy
4.5.5 Dielectric Strength
4.6 Interface Conditions
4.6.1 Interface Conditions Between Two Dielectrics
4.6.2 Interface Conditions Between Dielectrics and\penalty \@M \ Conductors
4.7 Capacitance
4.7.1 The Parallel Plate Capacitor
4.7.2 Capacitance of Infinite Structures
4.7.3 Connection of Capacitors
4.8 Energy in the Electrostatic Field: Point\penalty \@M \ and\penalty \@M \ Distributed Charges
4.8.1 Energy in the Electrostatic Field: Field Variables
4.8.2 Forces in the Electrostatic Field: An Energy Approach
4.9 Applications
4.1 Experiments
5 Boundary\penalty \@M \ Value Problems: Analytic Methods of Solution
5.1 Introduction
5.2 Poisson's Equation for the Electrostatic Field
5.3 Laplace's Equation for the Electrostatic Field
5.4 Solution Methods
5.4.1 Uniqueness of Solution
5.4.2 Solution by Direct Integration
5.4.3 The Method of Images
5.4.3.1 Point and Line Charges