-
2008+ Solved Problems in Electromagnetics
Syed A. Nasar9 7 8 1 8 9 1 1 2 1 4 6 3
ISBN 189112146-4ISBN 13: 9781891121463
SciTech Publishing, Inc.Raleigh, NC
www.scitechpub.com
2008+ Solved Problems in Electromagnetics by Syed A. Nasar
About the book
SciTech Publishing is reissuing this extremely valuable learning
resource, originally published in 1992 in the Schaums
Problem-Solving Series for students of electromagnetics and those
who wish to refresh and solidify their understanding of its
challenging applications. Problem-solving drills help develop
confidence, but few textbooks offer the answers never mind the
complete solutions to their chapter exercises. Here, noted author
Professor Syed Nasar has divided the books problems into topic
areas similar to a textbook and presented a wide array of problems,
followed immediately by their solutions.
Learn the best strategies for solving tough problems in
step-by-step detail
Prepare effectively for exams Use the Index to quickly locate
the type of
problems you need to review Save and use again for refresher
Instructors: this is a great source for extra
homework, quizzes, and exams!
Contents
Vector Analysis, Electrostatics, Magnetostatics, Maxwells
Equations, Plane Waves, Transmission Lines, Waveguides, Cavity
Resonators, Antennas, Review Problems
Also of interest from sCiteCh Publishing:
FundamentalsofElectromagneticswithMATLAB,2ndEdition,by Karl
Lonngren, Sava Savov, Randy Jost
Employing the power of MATLAB as both a visualization and a
problem-solving tool, this book teaches electromagnetics in a much
more engaging manner than traditional textbooks. (ISBN13:
9781891121588)
AntennaDesignandVisualizationUsingMATLAB,by Atef Elsherbeni and
Matthew Inman
This software program comes with a 110-page User Guide in a PDF
file. It helps students and engineers in antenna design see the
changes resulting from alterations to the parameters of design
specifications. The authors website provides free upgrades and help
to all who purchase and register the product. (ISBN13:
9781891121395)
ElectronicApplicationsoftheSmithChart,by Phillip Smith
The legendary Smith chart inventors classic reference book
describes how the chart is used for designing lumped element and
transmission line circuits. It provides tutorial material on
transmission line theory and behavior, circuit representation on
the chart, matching networks, network transformations and broadband
matching. It also includes a new chapter with examples designs and
description of the winSMITH software accessory. (ISBN13:
9781884932397)
2008+ Solved Problems in Electrom
agnetics Syed A. N
asar
-
2008+ Solved Problems in
ELECTROMAGNETICSSyed A. Nasar, Ph.D.
Raleigh, North Carolinawww.scitechpub.com
-
SciTech Publishing, Inc.911 Paverstone Drive, Suite BRaleigh, NC
27615Phone: 919-847-2434 Fax: 919-847-2568www.scitechpub.com
Editor: Dudley R. KayProduction Director: Susan
ManningProduction Assistant: Robert LawlessCover 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: 1891121464ISBN 13: 9781891121463
-
CONTENTS
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
VECTOR ANALYSISVectors 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
ELECTROSTATICSCharge Distributions / Coulombs Law / The E-Field
/ SuperpositionPrinciple / Electric Flux and Gauss Law / Induced
Charge / Voltage / ElectricDipoles / Dielectrics and Polarization /
Permittivity / Conditions at an Interface / Potential Energy of a
Charge Configuration / Equipotentials and Field Lines / Capacitance
/ Poissons and Laplaces Equations / Solutions by Separation of
Variables / Method of Images
M AGNETOST ATICSAmpres Force Law / Biot-Savart Law / Magnetic
Induction / Magnetic Field Intensity / Ampres Circuital Law /
Magnetic Flux / Magnetic Dipole Moments / Torque on a Current Loop
/ Magnetic Vector and ScalarPotentials / Conditions at an Interface
/ Bound Currents and Magnetization / TheLorentz Force / Magnetic
Circuits / Mutual Inductance / Internal Inductance / Magnetostatic
Force
MAXWELLS EQUATIONSFaradays Law of Induced EMF / Lenzs Law /
Displacement Current / Point and Integral Forms of Maxwells
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
PLANE WAVESThe 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
TRANSMISSION LINESTEM 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
WAVEGUIDESLossless 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: Maxwells Equations / Bessel Function
Solutions for TM and TE Modes / Dielectric-Slab Waveguides /
Optical Fibers
-
iv a CONTENTSChapter 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
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 9 ANTENNAS 327
Chapter 10 REVIEW PROBLEMS 376
INDEX 437
-
2008+ Solved Problems in Electromagnetics
Syed A. Nasar9 7 8 1 8 9 1 1 2 1 4 6 3
ISBN 189112146-4ISBN 13: 9781891121463
SciTech Publishing, Inc.Raleigh, NC
www.scitechpub.com
2008+ Solved Problems in Electromagnetics by Syed A. Nasar
About the book
SciTech Publishing is reissuing this extremely valuable learning
resource, originally published in 1992 in the Schaums
Problem-Solving Series for students of electromagnetics and those
who wish to refresh and solidify their understanding of its
challenging applications. Problem-solving drills help develop
confidence, but few textbooks offer the answers never mind the
complete solutions to their chapter exercises. Here, noted author
Professor Syed Nasar has divided the books problems into topic
areas similar to a textbook and presented a wide array of problems,
followed immediately by their solutions.
Learn the best strategies for solving tough problems in
step-by-step detail
Prepare effectively for exams Use the Index to quickly locate
the type of
problems you need to review Save and use again for refresher
Instructors: this is a great source for extra
homework, quizzes, and exams!
Contents
Vector Analysis, Electrostatics, Magnetostatics, Maxwells
Equations, Plane Waves, Transmission Lines, Waveguides, Cavity
Resonators, Antennas, Review Problems
Also of interest from sCiteCh Publishing:
FundamentalsofElectromagneticswithMATLAB,2ndEdition,by Karl
Lonngren, Sava Savov, Randy Jost
Employing the power of MATLAB as both a visualization and a
problem-solving tool, this book teaches electromagnetics in a much
more engaging manner than traditional textbooks. (ISBN13:
9781891121588)
AntennaDesignandVisualizationUsingMATLAB,by Atef Elsherbeni and
Matthew Inman
This software program comes with a 110-page User Guide in a PDF
file. It helps students and engineers in antenna design see the
changes resulting from alterations to the parameters of design
specifications. The authors website provides free upgrades and help
to all who purchase and register the product. (ISBN13:
9781891121395)
ElectronicApplicationsoftheSmithChart,by Phillip Smith
The legendary Smith chart inventors classic reference book
describes how the chart is used for designing lumped element and
transmission line circuits. It provides tutorial material on
transmission line theory and behavior, circuit representation on
the chart, matching networks, network transformations and broadband
matching. It also includes a new chapter with examples designs and
description of the winSMITH software accessory. (ISBN13:
9781884932397)
2008+ Solved Problems in Electrom
agnetics Syed A. N
asar
2008+ Solved Problems in ElectromagneticsTable of Contents1
Vector AnalysisVectors and ScalarsUnit VectorsScalar Components and
Vector ComponentsVectorial AreasDot ProductCross ProductVector
Fields and Scalar FieldsThe Gradient VectorLine IntegralsDivergence
and the Divergence TheoremCurl and Stokes TheoremPotential
Functions and Conservative Fields
2 ElectrostaticsCharge DistributionsCoulombs LawThe
E-FieldSuperposition PrincipleElectric Flux and Gauss LawInduced
ChargeVoltageElectric DipolesDielectrics and
PolarizationPermittivityConditions at an InterfacePotential Energy
of a Charge ConfigurationEquipotentials and Field
LinesCapacitancePoissons and Laplaces EquationsSolutions by
Separation of VariablesMethod of Images
3 MagnetostaticsAmpres Force LawBiot-Savart LawMagnetic
InductionMagnetic Field IntensityAmpres Circuital LawMagnetic
FluxMagnetic Dipole MomentsTorque on a Current LoopMagnetic Vector
and Scalar PotentialsConditions at an InterfaceBound Currents and
MagnetizationThe Lorentz ForceMagnetic CircuitsMutual
InductanceInternal InductanceMagnetostatic Force
4 Maxwell's EquationsFaradays Law of Induced EMFLenzs
LawDisplacement CurrentPoint and Integral Forms of Maxwells
EquationsPhasor NotationThe Poynting Vector and Radiated
PowerDerivation of Wave Equations and Diffusion EquationsSpecial
Solutions in Conductors; Definitions of Skin Depth and Internal
Impedance
5 Plane WavesThe Helmholtz Equation and Its Plane Wave
SolutionsPropagation Constant, Wavelength, Phase Velocity,
Intrinsic ImpedanceTime-Average Poynting VectorThe Loss
TangentApproximations for the Propagation Constant and Intrinsic
ImpedanceWave PolarizationGroup Velocity and DispersionReflection
and Transmission at an InterfaceCrank DiagramStanding
WavesPerpendicular and Parallel PolarizationsLaws of Reflection and
RefractionFresnel EquationsThe Brewster Angle
6 Transmission LinesTEM Field StructureThe (Lossless)
Transmission-Line EquationsPropagation Velocity and Characteristic
ResistanceVoltage and Current ReflectionSteady-State
AnalysisComplex Voltage Reflection Coefficient; Input Impedance;
Electrical LengthCrank DiagramVSWRElectrically Short LinesThe
(Lossy) Transmission-Line EquationsPropagation Constant and
Characteristic ImpedancePer-Unit-Length-ParametersNormalized
Impedance and the Smith Chart
7 WaveguidesLossless Rectangular Guides: the Wave EquationTE and
TM SolutionsCutoff FrequenciesField LinesDominant ModeAverage Power
FlowLossy Guides: Core and Wall LossesCylindrical Waveguides:
Maxwells EquationsBessel Function Solutions for TM and TE
ModesDielectric-Slab WaveguidesOptical Fibers
8 Cavity ResonatorsField Equations for Rectangular
CavitiesResonant FrequenciesEnergy Storage, Losses, and the Quality
FactorCoaxial CavitiesEquivalent-Circuit ParametersCylindrical
CavitiesSpherical Cavities
9 AntennasThe Hertzian DipoleProperties of the Far FieldPower or
Radiation PatternRadiation ResistanceThe Magnetic DipoleFinite
(Lossless) Dipole AntennasThe Angle FactorInput ImpedanceLossy
Dipole AntennasRadiative EfficiencyAntenna ArraysPrinciple of
Pattern MultiplicationRadiation Intensity, Directive Gain, and
DirectivityCoupled Antennas: Equivalent Circuits and the
Reciprocity TheoremEffective Aperture of an Antenna(Power) GainThe
Friis Transmission EquationEffects of a Ground PlaneBeam Solid
AngleEffective Antenna LengthDiffraction PatternsPolarization Loss
Factor (PLF)HPBW and BWFNHansen-Woodyard Criteria
10 Review ProblemsIndex
