| |
| |
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 | |