2008+ Solved Problems in Electromagnetics

444 Pages·2007·16.103 MB·English

by  Syed A. Nasar

2008+ Solved Problems Also of interest from sCiteCh Publishing: 2 2008+
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in Electromagnetics › Fundamentals of Electromagnetics with MATLAB®, 0
2nd Edition, by Karl Lonngren, Sava Savov, Randy Jost 8
by Syed A. Nasar +
Employing the power of MATLAB as both a

visualization and a problem-solving tool, this book
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teaches electromagnetics in a much more engaging Solved Problems in
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About the book
manner than traditional textbooks.
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SciTech Publishing is reissuing this extremely (ISBN13: 9781891121588) v
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valuable learning resource, originally published
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in 1992 in the Schaum’s Problem-Solving Series › Antenna Design and Visualization Using MATLAB®,
Electromagnetics
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for students of electromagnetics and those who by Atef Elsherbeni and Matthew Inman
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wish to refresh and solidify their understanding
This software program comes with a 110-page User o
of its challenging applications. Problem-solving Guide in a PDF file. It helps students and engineers b
drills help develop confidence, but few in antenna design see the changes resulting from l
e
textbooks offer the answers – never mind the alterations to the parameters of design specifications.
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complete solutions – to their chapter exercises. The authors’ website provides free upgrades and help
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Here, noted author Professor Syed Nasar has to all who purchase and register the product.

divided the book’s problems into topic areas (ISBN13: 9781891121395) i
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similar to a textbook and presented a wide

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array of problems, followed immediately by › Electronic Applications of the Smith Chart,
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their solutions. by Phillip Smith
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The legendary Smith chart inventor’s classic reference
– Learn the best strategies for solving tough t
book describes how the chart is used for designing r
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lumped element and transmission line circuits. It
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provides tutorial material on transmission line
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Contents

Vector Analysis, Electrostatics, Magnetostatics,

Maxwell’s Equations, Plane Waves, Transmission S
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Lines, Waveguides, Cavity Resonators, e
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Antennas, Review Problems

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ISBN 13: 9781891121463 a
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ISBN 189112146-4
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SciTech Publishing, Inc. www.scitechpub.com
Syed A. Nasar
Raleigh, NC
9 781891 121463
2008
+

Solved Problems in
ELECTROMAGNETICS
Syed A. Nasar, Ph.D.
Raleigh, North Carolina
www.scitechpub.com
SciTech Publishing, Inc.
911 Paverstone Drive, Suite B
Raleigh, NC 27615
Phone: [phone] Fax: [phone]
www.scitechpub.com
Editor: Dudley R. Kay
Production Director: Susan Manning
Production Assistant: Robert Lawless
Cover design by Kathy Gagne
Cover image courtesy of Greg Shirah of NASA,
http://pwg.gsfc.nasa.gov/istp/outreach/images/Aurora/71300.jpg
Copyright 2008 by SciTech Publishing, Inc.
All rights reserved. No part of this book may be reproduced in any
form or by any means without prior written permission of the publisher.
First edition published as 2000 Solved Problems in Electromagnetics
copyright 1992 by McGraw-Hill.
Printed in the United States of America.
ISBN: 1891121464
ISBN 13: 9781891121463
CONTENTS
Chapter 1 VECTOR ANALYSIS
Vectors and Scalars / Unit Vectors / Scalar Components and Vector
Components / Vectorial Areas / Dot Product / Cross Product / Vector Fields and
Scalar Fields / The Gradient Vector / Line Integrals / Divergence and the Divergence
Theorem / Curl and Stokes’ Theorem / Potential Functions and Conservative Fields
Chapter 2 ELECTROSTATICS
Charge Distributions / Coulomb’s Law / The E-Field / Superposition
Principle / Electric Flux and Gauss’ Law / Induced Charge / Voltage / Electric
Dipoles / Dielectrics and Polarization / Permittivity / Conditions at an
Interface / Potential Energy of a Charge Configuration / Equipotentials and Field
Lines / Capacitance / Poisson’s and Laplace’s Equations / Solutions by Separation of
Variables / Method of Images
Chapter 3 M AGNETOST ATICS
Ampère’s Force Law / Biot-Savart Law / Magnetic Induction / Magnetic Field
Intensity / Ampère’s Circuital Law / Magnetic Flux / Magnetic Dipole
Moments / Torque on a Current Loop / Magnetic Vector and Scalar
Potentials / Conditions at an Interface / Bound Currents and Magnetization / The
Lorentz Force / Magnetic Circuits / Mutual Inductance / Internal
Inductance / Magnetostatic Force
Chapter 4 MAXWELL’S EQUATIONS
Faraday’s Law of Induced EMF / Lenz’s Law / Displacement Current / Point and
Integral Forms of Maxwell’s Equations / Phasor Notation / The Poynting Vector and
Radiated Power / Derivation of Wave Equations and Diffusion Equations / Special
Solutions in Conductors; Definitions of Skin Depth and Internal Impedance
Chapter 5 PLANE WAVES
The Helmholtz Equation and Its Plane Wave Solutions / Propagation Constant,
Wavelength, Phase Velocity, Intrinsic Impedance / Time-Average Poynting
Vector / The Loss Tangent / Approximations for the Propagation Constant and Intrinsic
Impedance / Wave Polarization / Group Velocity and Dispersion / Reflection and
Transmission at an Interface / Crank Diagram / Standing Waves / Perpendicular and
Parallel Polarizations / Laws of Reflection and Refraction / Fresnel Equations / The
Brewster Angle
Chapter 6 TRANSMISSION LINES
TEM Field Structure / The (Lossless) Transmission-Line Equations / Propagation
Velocity and Characteristic Resistance / Voltage and Current Reflection / Steady-State
Analysis / Complex Voltage Reflection Coefficient; Input Impedance; Electrical
Length / Crank Diagram / VSWR / Electrically Short Lines / The (Lossy)
Transmission-Line Equations / Propagation Constant and Characteristic
Impedance / Per-Unit-Length-Parameters / Normalized Impedance and the Smith Chart
Chapter 7 WAVEGUIDES
Lossless Rectangular Guides: the Wave Equation / TE and TM Solutions / Cutoff
Frequencies / Field Lines / Dominant Mode / Average Power Flow / Lossy Guides:
Core and Wall Losses / Cylindrical Waveguides: Maxwell’s Equations / Bessel Function
Solutions for TM and TE Modes / Dielectric-Slab Waveguides / Optical Fibers
a
iv CONTENTS
Chapter 8 CAVITY RESONATORS 307
Field Equations for Rectangular Cavities / Resonant Frequencies / Energy Storage,
Losses, and the Quality Factor / Coaxial Cavities / Equivalent-Circuit
Parameters / Cylindrical Cavities / Spherical Cavities
Chapter 9 ANTENNAS 327
The Hertzian Dipole / Properties of the Far Field / Power or Radiation
Pattern / Radiation Resistance / The Magnetic Dipole / Finite (Lossless) Dipole
Antennas / The Angle Factor / Input Impedance / Lossy Dipole Antennas / Radiative
Efficiency / Antenna Arrays / Principle of Pattern Multiplication / Radiation Intensity,
Directive Gain, and Directivity / Coupled Antennas: Equivalent Circuits and the
Reciprocity Theorem / Effective Aperture of an Antenna / (Power) Gain / The Friis
Transmission Equation / Effects of a Ground Plane / Beam Solid Angle / Effective
Antenna Length / Diffraction Patterns / Polarization Loss Factor (PLF) / HPBW and
BWFN / Hansen-Woodyard Criteria
Chapter 10 REVIEW PROBLEMS 376
INDEX 437