Fundamentals of Engineering Electromagnetics

Paperback | July 11, 2012

bySunil Bhooshan

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Beginning with the very basics such as scalars and vectors, coordinate systems, and vector calculus, the book aims to teach the subject starting from the fundamentals in a simple and direct manner. After the introductory part, the content is divided into three logical parts, namely,electrostatics, magnetostatics, and time varying fields, radiation and propagation. The text has been supported throughout with self explanatory illustrations and numerous graded solved examples. Many of the illustrations also provide a three-dimensional view of the patterns presented.With an aim to provide sufficient practice to students and reinforce important concepts, the end chapter exercises include review questions, numerical problems with answers, short answers questions with answers, MCQs with answers and open book exam questions as well with hints. The appendices at theend of the book equip the students with all the important tables and information they would require for this course.

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Beginning with the very basics such as scalars and vectors, coordinate systems, and vector calculus, the book aims to teach the subject starting from the fundamentals in a simple and direct manner. After the introductory part, the content is divided into three logical parts, namely,electrostatics, magnetostatics, and time varying field...

Sunil Bhooshan is currently Professor and Head of Department in Jaypee University of Information Technology (JUIT) at Waknaghat near Shimla which is a part of the group of educational institutions of the Jaypee group of industries. The author graduated from IIT Delhi, and completed his MS and Ph D degrees from the University of Illino...
Format:PaperbackDimensions:688 pages, 9.84 × 5.91 × 0.68 inPublished:July 11, 2012Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198077947

ISBN - 13:9780198077947

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Table of Contents

Frequently Used Reference Material0.1. Table of Fundamental Constants0.2. Units0.3. The Greek Alphabet0.4. SI Prefixes0.5. Dielectric Constants of Materials0.6. Relative Permeabilities of MaterialsI. Introductory Material1. Scalars and Vectors1.1. Introduction1.2. Scalars1.2.1. Rules to Manipulate Scalars1.2.2. Keeping Track of Calculations1.2.3. Order of Magnitude of Calculations1.2.4. Approximations1.3. Vectors1.3.1. The Unit Vector1.3.2. Vector Addition1.3.2.1. A Handy Technique1.3.2.2. Calculations with Vector Addition1.3.3. Dot Product or Scalar Product1.3.3.1. Work and Scalar Product1.3.3.2. Scalar Products of Orthogonal Unit Vectors1.3.4. Cross Product or Vector Product1.3.4.1. Cross Products of Orthogonal Unit Vectors1.3.4.2. Cross Product in Rectangular Coordinates1.3.4.3. Memorizing Cross-Product Calculations1.3.4.4. Scalar Triple Product1.4. Units and Dimensions1.5. Points to Remember1.6. Practice Problems and Self Assessment2. Coordinate Systems and Fields2.1. Introduction2.2. Scalar and Vector Fields2.2.1. Scalar Fields2.2.2. Vector Fields2.3. The Rectangular Coordinate System2.3.1. Distance Between Two Points2.3.2. Direction Cosines2.3.3. Vector Equation of a Straight Line2.3.4. Equation of a Plane2.4. Cylindrical Coordinate System2.4.1. Equations of Surfaces and Lines in Cylindrical Coordinates2.5. The Spherical Coordinate System2.6. Points to Remember2.7. Practice Problems and Self Assessment3. Vector Calculus3.1. Chapter Goals3.2. Basic 3-Dimensional Calculus3.2.1. Differential Element of a Line3.2.2. Line Integral3.2.3. Differential Element of a Surface3.2.4. Surface Integral3.2.5. The Volume Integral3.3. Differential Calculus Concepts3.3.1. The Del or Nabla Operator3.3.2. Gradient3.3.3. The Curl3.3.4. Divergence3.4. Maxwell's Equations3.5. Units and Dimensions of EM Fields3.6. List of Formulae3.7. Practice Problems and Self AssessmentII. Electrostatics4. The Electric Field and Gauss's Law4.1. Chapter Goals4.2. Electrostatics: An Introduction4.3. Charge4.3.1. The Dirac Delta Function4.4. Coulomb's Law and the Electric Field4.5. The Electric Field due to a System of Point Charges4.5.1. Electric Dipole4.5.2. Electric Field Due to Any Number of Point Charges4.6. Electric Field due to Continuous Charge Distributions4.6.1. Infinite Line Charge4.6.2. Infinite Sheet Charge4.7. Electric Displacement ? and Flux Density D4.8. Gauss's Law4.9. Gauss's LawApplied to Cases of Spherical Symmetry4.9.1. Gauss's Law Applied to a Point Charge4.9.2. Gauss's Law Applied to a Charged Sphere4.10. Gauss's Law Applied to Cases of Cylindrical Symmetry4.11. Gauss's Law Applied to Cases of Rectangular Symmetry4.12. List of Formulae4.13. Practice problems and Self Assessment5. Energy and Potential5.1. Chapter Goals5.2. Potential Due to a Point Charge5.3. Equipotential Surfaces5.4. Potential Energy5.5. Potential Due to a System of Point Charges5.5.1. Far Fields for an Electric Dipole5.6. Potential Due Any Continuous Charge Distribution5.7. List of Formulae5.8. Practice Problems and Self Assessment6. The Electric Field and Material Media6.1. Chapter Goals6.2. Current and Current Density6.3. Continuity Equation6.4. Conductors, Semiconductors and Dielectrics .6.4.1. Conductors and Resistance6.4.2. Relaxation Time for Conductors6.4.3. The Method of Images6.4.4. Semiconductors6.4.5. Dielectrics6.5. Capacitance6.5.1. Parallel Plate Capacitor6.5.2. Coaxial Line6.5.3. Two Conductor Line6.6. Relation Between Capacitance and Resistance6.7. Boundary Conditions for Electrostatic Fields6.8. Energy Stored in the Electric Field6.9. List of Formulae6.10. Practice Problems and Self Assessment7. Laplace's and Poisson's Equations7.1. Chapter Goals7.2. Introduction7.3. Uniqueness Theorem7.4. Laplace's Equation7.4.1. Some One Dimensional Solutions7.4.1.1. Laplace's Equation, Applied to Infinite Parallel Planes7.4.1.2. Laplace'sEquation,AppliedtoConcentric Cylinders7.4.1.3. Laplace'sEquation,AppliedtoConcentric Spheres7.4.1.4. Laplace'sEquationAppliedtoTwo Coaxial Cones7.4.2. TwoDimensional Solutions to Laplace'sEquation7.4.2.1. Analytic Functions7.4.3. Separation of Variables7.4.4. Numerical Techniques7.5. Poisson's Equation7.5.1. One Dimensional Solutions7.6. List of Formulae7.7. Practice Problems and Self AssessmentIII. Magnetostatics8. The Steady Magnetic Field8.1. Chapter Goals8.2. Introduction8.3. The Biot-Savart Law8.3.1. Biot-Savart Law Applied to a Tiny Filamentary Current8.4. Types of Current8.4.1. Biot-SavartLawAppliedto an InfinitelyLong Straight Wire8.4.2. Magnetic Field Lines of a Long Straight Wire8.4.3. Biot-Savart Law Applied to a Short Straight Wire8.5. Ampere's Law8.5.1. Ampere's Law Applied to a Long Straight Wire8.5.2. Ampere's Law Applied to a Wire of Radius a8.5.3. Ampere's Law Applied to an Infinite Solenoid8.5.4. Ampere'sLawAppliedto aWindingAround a Torus8.6. The Magnetic Field-Some Calculations8.6.1. Loop of Wire Carrying a Current8.6.2. Magnetic Field Due to a Current Sheet8.6.3. Magnetic Field in the Interior of an Infinite Solenoid8.6.4. Magnetic Field in the Interior of a Finite Solenoid8.6.5. Magnetic Field on the Axis of a Rotating Charged Disk8.7. The Magnetic Scalar Potential8.7.1. Scalar Potential in the Interior of an Infinite Solenoid8.8. The Vector Potential and the Magnetic Flux Density8.8.1. Calculation of the Vector Potential8.8.2. Vector Potential of a Circular Loop8.9. The Biot-Savart Law-Revisited8.10. Various Results8.10.1. VectorPoential for aCurrentCarrying Straight Conductor8.10.2. Two Current Carrying Straight Conductors8.11. Far Field Approximation8.11.1. Square Current Loop and Magnetic Dipole8.12. List of Formulae8.13. Practice Problems and Self Assessment9. Magnetic Forces, Inductance and Magnetisation9.1. Chapter Goals9.2. The Lorentz Force9.3. Electron Moving in a Steady Magnetic Field9.4. A Straight Wire Carrying a Current in a Magnetic Field .9.5. Other Formulations9.6. Loop Carrying a Current in a Constant Magnetic Field .9.7. Torque on Loop Carrying a Current in a Constant Magnetic Field .9.8. Force between Two Current Elements9.9. Inductance9.9.1. Inductance of a Coil9.9.2. Inductance of a Coaxial Line9.9.3. Magnetic Energy9.9.4. Inductance of a Circular Loop9.9.5. Mutual inductance9.10. Magnetic Materials and Magnetic Circuits9.10.1. Magnetisation9.10.2. Magnetic CircuitsIV. Time Varying Fields, Radiation and Propagation10. Time Dependant Fields10.1. Chapter Goals10.2. List of Formulae10.3. Faraday's Law10.4. A Maxwell Equation from Faraday's Law10.5. The Displacement Current Density10.6. Time-DependentMaxwell's Equations10.6.1. Point form of the Equations10.7. Integral Form of Maxwell's Equations10.8. The FundamentalEquations ofRadiation and Propagation10.9. Time Domain Wave Equation10.10.Frequency Domain Wave Equation10.10.1.Phasors10.11.The Wave Equation10.12.Chapter Summary10.13.Short Answer Questions10.14.Problems11. Electromagnetic Waves11.1. Uniform Plane Wave11.2. Wave Polarisation11.2.1. Circular Polarisation11.2.2. Elliptical Polarisation11.3. Wave Propagation in Conducting Media11.3.1. Low Conductivity Materials11.3.2. High Conductivity Materials11.4. Boundary Conditions11.5. Reflection and Refraction ofWaves11.5.1. Reflection from a Metal Surface11.5.1.1. Normal Incidence11.5.2. Refraction from a Dielectric Surface11.6. Poynting Vector and the Flow of Power11.6.1. Poynting's Theorem11.6.2. Poynting Vector12. Transmission Lines12.1. Time Domain Equation12.2. Frequency Domain Equation12.3. Solutions to the Transmission Line Equation12.3.1. Power Considerations12.3.2. Reflections from Discontinuities12.3.3. StandingWave Ratio12.3.4. Input Impedance Anywhere Along the Line12.4. Transmission Line Charts12.5. Transformer Matching12.6. References13. Waveguides13.1. The Parallel Plate Waveguide13.2. TEM mode Waveguides13.3. The RectangularWaveguide13.4. The CircularWaveguide14. Radiation from Currents14.1. Wave Equation due to Charges and Currents14.2. Radiation from a Current Element14.3. The Half-Wave Dipole Antenna14.4. Basic Antenna Concepts14.5. Directivity14.5.1. Directivity from the Beam Pattern14.6. Effective Aperture and Friis' Transmission Formula15. Introduction to Antennas15.1. Chapter Goals15.2. Introduction15.3. Linear Antenna Arrays15.4. Linear Array with Equal Currents15.4.1. The Array Factor15.4.2. Nulls and Sidelobes15.4.3. Beam Pointing Angle15.5. Farfield Pattern15.6. Aperture Antennas15.7. Horn Antennas15.7.1. Introduction15.8. Parabolic Reflector15.9. List of Formulae15.10.Practice Problems and Self Assessment16. Radio Wave Propagation16.1. Introduction16.2. Ground Wave Propagation16.3. Earth Reflection16.4. The Surface Wave16.4.1. The Surface Wave for the Vertical Dipole16.4.2. Wave Tilt of the Surface Wave16.5. Surface Wave for a Horizontal Dipole16.6. Approximations for Ground Wave Propagation16.7. Tropospheric Propagation16.7.1. Spherical Earth Considerations16.7.2. Tropospheric Waves16.8. Ionospheric Propagation16.8.1. The Ionosphere16.8.1.1. Plasma Oscillations16.8.1.2. Wave Propagation in a PlasmaA. List of SymbolsA.1. Commonly Use Symbols and NomenclatureB. Coordinate SystemsB.1. Rectangular to Cylindrical, Cylindrical to RectangularB.2. Rectangular to Spherical, Spherical to RectangularB.3. Spherical and Cylindrical CoordinatesB.4. Grad, Div, Curl and Laplacian in Different Coordinate SystemsB.4.1. Cartesian CoordinateB.4.2. Cylindrical CoordinatesB.4.3. Spherical CoordinatesC. Mathematical ReferenceC.1. GeneralC.1.1. Important ConstantsC.1.2. Taylor's Series ExpansionC.1.3.C.2. Vector IdentitiesC.2.1. GeneralC.2.2. GradientC.2.3. CurlC.2.4. DivergenceC.2.5. DoubleC.3. Complex VariablesC.3.1. GeneralC.3.2. InequalitiesC.3.3. Complex conjugatesC.3.4. Euler's IdentityC.4. TrigonometryC.4.1. Basic formulaeC.4.2. Sum and difference formulaeC.4.3. Double angle formulaeC.4.4. Half angle formulaeC.4.5. Product to sum formulaeC.4.6. Sum and difference to productC.4.7. Triangle FormulaeC.4.8. Powers of the trigonometric functionsContentsC.5. Differentiation .C.5.1. RulesC.5.2. Differentiation of FunctionsC.6. IntegrationC.6.1. Common SubstitutionsC.6.2. Indefinite IntegralsBibliography