Preface | |
A Note to the Student | |
Vector Analysis | |
Vector Algebra | |
Introduction | |
A Preview of the Book | |
Scalars and Vectors | |
Unit Vectors | |
Vector Addition and Subtraction | |
Position and Distance Vectors | |
Vector Multiplication | |
Components of a Vector | |
Coordinate Systems and Transformation | |
Introduction | |
Cartesian Coordinates (x, y, z) | |
Circular Cylindrical Coordinates (p, o, z) | |
Spherical Coordinates (r, O, z) | |
Constant-Coordinate Surfaces | |
Vector Calculus | |
Introduction | |
Differential Length, Area, and Volume | |
Line, Surface, and Volume Integrals | |
Del Operator | |
Gradient of a Scalar | |
Divergence of a Vector and Divergence Theorem | |
Curl of a Vector and Stokes's Theorem | |
Laplacian of a Scalar | |
Classification of Vector Fields | |
Electrostatics | |
Electrostatic Fields | |
Introduction | |
Coulomb's Law and Field Intensity | |
Electric Fields due to Continuous Charge Distributions | |
Electric Flux Density | |
Gauss's Law--Maxwell's Equation | |
Applications of Gauss's Law | |
Electric Potential | |
Relationship between E and V--Maxwell's Equation | |
An Electric Dipole and Flux Lines | |
Energy Density in Electrostatic Fields | |
Electric Fields in Material Space | |
Introduction | |
Properties of Materials | |
Convection and Conduction Currents | |
Conductors | |
Polarization in Dielectrics | |
Dielectric Constant and Strength | |
Linear, Isotropic, and Homogeneous Dielectrics | |
Continuity Equation and Relaxation Time | |
Boundary Conditions | |
Electrostatic Boundary-Value Problems | |
Introduction | |
Poisson's and Laplace's Equations | |
Uniqueness Theorem | |
General Procedure for Solving Poisson's or Laplace's Equation | |
Resistance and Capacitance | |
Method of Images | |
Magnetostatics | |
Magnetostatic Fields | |
Introduction | |
Biot-Savart's Law | |
Ampere's Circuit Law--Maxwell's Equation | |
Applications of Ampere's Law | |
Magnetic Flux Density--Maxwell's Equation | |
Maxwell's Equations for Static EM Fields | |
Magnetic Scalar and Vector Potentials | |
Derivation of Biot-Savart's Law and Ampere's Law | |
Magnetic Forces, Materials, and Devices | |
Introduction | |
Forces due to Magnetic Fields | |
Magnetic Torque and Moment | |
A Magnetic Dipole | |
Magnetization in Materials | |
Classification of Magnetic Materials | |
Magnetic Boundary Conditions | |
Inductors and Inductances | |
Magnetic Energy | |
Magnetic Circuits | |
Force on Magnetic Materials | |
Waves and Applications | |
Maxwell's Equations | |
Introduction | |
Faraday's Law | |
Transformer and Motional EMFs | |
Displacement Current | |
Maxwell's Equations in Final Forms | |
Time-Varying Potentials | |
Time-Harmonic Fields | |
Electromagnetic Wave Propagation | |
Introduction | |
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