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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