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Back To: Rao's Faculty Bio

Basic Electromagnetics
With Applications
Prentice Hall, 1972

By N. Narayana Rao


Table of Contents

PREFACE

1 - VECTOR ANALYSIS

1.1 - Some Simple Rules
1.2 - Coordinate Systems
1.3 - Components of Vectors
1.4 - Scalar and Vector Fields
1.5 - Differentiation of Vectors
1.6 - The Gradient
1.7 - Volume, Surface, and Line Integrals
1.8 - Divergence and the Divergence Theorem
1.9 - Curl and Stokes' Theorem
1.10 - The Laplacian
1.11 - Some Useful Vector Relations
- Problems

 2 - THE STATIC ELECTRIC FIELD 2.1 - The Electric Field Concept
2.2 - Coulomb's Law
2.3 - The Electric Field of Point Charges
2.4 - The Electric Field of Continuous Charge Distributions
2.5 - Direction Lines
2.6 - Gauss' Law in Integral Form
2.7 - Gauss' Law in Differential Form (Maxwell's Divergence Equation for the Electric Field)
2.8 - Potential Difference
2.9 - The Potential Field of Point Charges
2.10 - The Potential Field of Continuous Charge Distributions
2.11 - Maxwell's Curl Equation for the Static Electric Field
2.12 - The Relationship Between Electric Field Intensity and Potential
- Problems

 3 - THE STATIC MAGNETIC FIELD 3.1 - The Magnetic Field Concept
3.2 - Force on a Current Element
3.3 - Ampere's Law of Force
3.4 - The Magnetic Field of Filamentary Currents
3.5 - The Magnetic Field of Current Distributions
3.6 - Ampere's Circuital Law in Integral Form
3.7 - Ampere's Circuital Law in Differential Form (Maxwell's Curl Equation for the Static Magnetic Field)
3.8 - Magnetic Vector Potential
3.9 - Maxwell's Divergence Equation for the Magnetic Field
3.10 - Summary and Further Discussion of Static Electric and Magnetic Field Laws and Formulas
- Problems

 4 - THE ELECTROMAGNETIC FIELD 4.1 - The Lorentz Force Equation
4.2 - Faraday's Law in Integral Form
4.3 - Faraday's Law in Differential Form (Maxwell's First Curl Equation for the Electromagnetic Field)
4.4 - The Dilemma of Ampere's Circuital Law and the Displacement Current Concept; Modified Ampere's Circuital Law in Integral Form
4.5 - Modified Ampere's Circuital Law in Differential Form (Maxwell's Second Curl Equation for the Electromagnetic Field) and the Continuity Equation
4.6 - Energy Storage in an Electric Field
4.7 - Energy Storage in a Magnetic Field
4.8 - Power Flow in an Electromagnetic Field; the Poynting Vector
4.9 - The Phasor Concept and the Phasor Representation of Sinusoidally Time-Varying Fields and Maxwell's Equations for Sinusoidally Time-Varying Fields
4.10 - Power and Energy Considerations for Sinusoidally Time-Varying Electromagnetic Fields 4.11 - Summary of Electromagnetic Field Laws and Formulas
- Problems

 5 - MATERIALS AND FIELDS 5.1 - Conduction and Nonmagnetic Materials
5.2 - Conduction Current Density, Conductivity, and Ohm's Law
5.3 - Conductors in Electric Fields
5.4 - Polarization in Dielectric Materials
5.5 - Dielectrics in Electric Fields; Polarization Charge and Current
5.6 - Displacement Flux Density and Relative Permittivity
5.7 - Magnetization and Magnetic Materials
5.8 - Magnetic Materials in Magnetic Fields; Magnetization Current
5.9 - Magnetic Field Intensity, Relative Permeability, and Hysteresis
5.10 - Summary of Maxwell's Equations and Constitutive Relations
5.11 - Power and Energy Considerations for Material Media
5.12 - Boundary Conditions
- Problems

 6 - APPLIED ELECTROMAGNETICS Part 1. Statics, Quasistatics, and Distributed Circuits
6.1 - Poisson's Equation
6.2 - Laplace's Equation
6.3 - The Method of Images
6.4 - Conductance, Capacitance, and Inductance
6.5 - Magnetic Circuits
6.6 - Quasistatics; The Field Basis of Low-Frequency Circuit Theory
6.7 - Transmission-Line Equations; The Distributed Circuit Concept

Part 2. Electromagnetic Waves
6.8 - The Wave Equation; Uniform Plane Waves and Transmission-Line Waves
6.9 - Traveling Waves in Time Domain
6.10 - Traveling Waves in Sinusoidal Steady State; Standing Waves
6.11 - Transmission-Line Matching; The Smith Chart
6.12 - Waveguides; Dispersion and Group Velocity
6.13 - Waves in Imperfect Dielectrics and Conductors; Attenuation and the Skin Effect
6.14 - Resonators; Laser Oscillation
6.15 - Waves in Plasma; Ionospheric Propagation
6.16 - Radiation of Electromagnetic Waves
- Problems

 APPENDIX: UNITS AND DIMENSIONS

BIBLIOGRAPHY

ANSWERS TO ODD-NUMBERED PROBLEMS

INDEX

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University of Illinois at Urbana-Champaign
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Electrical & Computer Engineering

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