Engineering Electromagnetics - Rilegato

Ida, Nathan

Rilegato

ISBN 10: 0387098038 ISBN 13: 9780387098036

Casa editrice: Springer Verlag, 2010

Riassunto

'Engineering Electromagnetics' provides students with a theoretical understanding of electromagnetic field equations as well as covering their direct applications to engineering design.

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Contenuti

 Preface1 Vector Algebra 1.1 Introduction 1.2 Scalars and Vectors 1.2.1 Magnitude and Direction of Vectors: The Unit Vector and Components of a Vector 1.2.2 Vector Addition and Subtraction 1.2.3 Vector Scaling 1.3 Products of Vectors 1.3.1 The Scalar Product 1.3.2 The Vector Product 1.3.3 Multiple Vector and Scalar Products 1.4 Definition of Fields 1.4.1 Scalar Fields 1.4.2 Vector Fields 1.5 Systems of Coordinates 1.5.1 The Cartesian Coordinate System 1.5.2 The Cylindrical Coordinate System 1.5.3 The Spherical Coordinate System 1.5.4 Transformation from Cylindrical to Spherical\penalty \@M \ Coordinates 1.6 Position Vectors 2 Vector Calculus 2.1 Introduction 2.2 Integration of Scalar and Vector\penalty \@M \ Functions 2.2.1 Line Integrals 2.2.2 Surface Integrals 2.2.3 Volume Integrals 2.3 Differentiation of Scalar and Vector\penalty \@M \ Functions 2.3.1 The Gradient of a Scalar Function 2.3.1.1 Gradient in Cylindrical Coordinates 2.3.1.2 Gradient in Spherical Coordinates 2.3.2 The Divergence of a Vector Field 2.3.2.1 Divergence in Cartesian Coordinates 2.3.2.2 Divergence in Cylindrical and Spherical Coordinates 2.3.3 The Divergence Theorem 2.3.4 Circulation of a Vector and the Curl 2.3.4.1 Circulation of a Vector Field 2.3.5 Stokes'Theorem 2.4 Conservative and Nonconservative\penalty \@M \ Fields 2.5 Null Vector Identities and Classification of Vector Fields 2.5.1 The Helmholtz Theorem 2.5.2 Second-Order Operators 2.5.3 Other Vector Identities 3 Coulomb's\penalty \@M \ Law and the Electric Field 3.1 Introduction 3.2 Charge and Charge Density 3.3 Coulomb's Law 3.4 The Electric Field Intensity 3.4.1 Electric Fields of Point Charges 3.4.1.1 Superposition of Electric Fields 3.4.1.2 Electric Field Lines 3.4.2 Electric Fields of Charge Distributions 3.4.2.1 Line Charge Distributions 3.4.2.2 Surface Charge Distributions 3.4.2.3 Volume Charge Distributions 3.5 The Electric Flux Density: An\penalty \@M \ Initial\penalty \@M \ Definition 3.6 Applications 3.7 Experiments 4 Gauss's\penalty \@M \ Law and the Electric\penalty \@M \ Potential 4.1 Introduction 4.2 The Electrostatic Field: Postulates 4.3 Gauss's Law 4.3.1 Applications of Gauss's Law 4.3.1.1 Calculation of the Electric Field Intensity 4.3.1.2 Calculation of Equivalent Charges 4.4 The Electric Potential 4.4.1 Electric Potential due to Point Charges 4.4.2 Electric Potential due to Distributed Charges 4.4.3 Calculation of Electric Field Intensity from Potential 4.5 Materials in the Electric Field 4.5.1 Conductors 4.5.1.1 Electric Field at the Surface of a Conductor 4.5.2 Dielectric Materials 4.5.3 Polarization and the Polarization Vector 4.5.4 Electric Flux Density and Permittivity 4.5.4.1 Linearity, Homogeneity, and Isotropy 4.5.5 Dielectric Strength 4.6 Interface Conditions 4.6.1 Interface Conditions Between Two Dielectrics 4.6.2 Interface Conditions Between Dielectrics and\penalty \@M \ Conductors 4.7 Capacitance 4.7.1 The Parallel Plate Capacitor 4.7.2 Capacitance of Infinite Structures 4.7.3 Connection of Capacitors 4.8 Energy in the Electrostatic Field: Point\penalty \@M \ and\penalty \@M \ Distributed Charges 4.8.1 Energy in the Electrostatic Field: Field Variables 4.8.2 Forces in the Electrostatic Field: An Energy Approach 4.9 Applications 4.1 Experiments 5 Boundary\penalty \@M \ Value Problems: Analytic Methods of Solution 5.1 Introduction 5.2 Poisson's Equation for the Electrostatic Field 5.3 Laplace's Equation for the Electrostatic Field 5.4 Solution Methods 5.4.1 Uniqueness of Solution 5.4.2 Solution by Direct Integration 5.4.3 The Method of Images 5.4.3.1 Point and Line Charges 5.4.3.2 Charged Line over a Conducting Plane 5.4.3.3 Multiple Planes and Charges 5.4.3.4 Images in Curved Geometries 5.4.4 Separation of Variables: Solution to Laplace's\penalty \@M \ Equation 5.4.4.1 Separation of Variables in Cartesian Coordinates 5.4.4.2 Separation of Variables in Cylindrical Coordinates 5.5 Experiments: The Method of Images 6 Boundary\penalty \@M \ Value Problems: Numerical (Approximate) Methods 6.1 Introduction 6.1.1 A Note on Computer Programs 6.2 The General Idea of Numerical\penalty \@M \ Solutions 6.3 The Finite Difference Method: Solution to the Laplace\hfill\ break and Poisson Equations 6.3.1 The Finite Difference Approximation: First-Order\penalty \@M \ Derivative 6.3.2 The Finite Difference Approximation:  Second-Order6.3.3 Implementation 6.3.3.1 Implicit Solution 6.3.3.2 Explicit Solution 6.3.4 Solution to Poisson's Equation 6.4 The Method of Moments: An\penalty \@M \ Intuitive\penalty \@M \ Approach 6.5 The Finite-Element Method: Introduction 6.5.1 The Finite Element 6.5.1.1 The Triangular Element 6.5.2 Implementation of the Finite Element Method 7 The\penalty \@M \ Steady Electric Current 7.1 Introduction 7.2 Conservation of Charge 7.3 Conductors, Dielectrics, and Lossy\penalty \@M \ Dielectrics 7.3.1 Moving Charges in an Electric Field 7.3.2 Convection Current and Convection Current Density 7.3.3 Conduction Current and Conduction Current Density 7.4 Ohm's Law 7.5 Power Dissipation and Joule's Law 7.6 The Continuity Equation and Kirchhoff's Current Law 7.6.1 Kirchhoff's Current Law 7.7 Current Density as a Field 7.7.1 Sources of Steady Currents 7.7.2 Kirchhoff's Voltage Law 7.8 Interface Conditions for Current\penalty \@M \ Density 7.9 Applications 7.1 Experiments 8 The Static Magnetic Field 8.1 Introduction 8.2 The Magnetic Field, Magnetic Field Intensity,\hfill\ break and Magnetic Flux Density 8.3 The Biot--Savart Law 8.3.1 Applications of the Biot--Savart Law to\penalty \@M \ Distributed\penalty \@M \ Currents 8.4 Ampere's Law 8.5 Magnetic Flux Density and Magnetic\penalty \@M \ Flux 8.6 Postulates of the Static Magnetic Field 8.7 Potential Functions 8.7.1 The Magnetic Vector Potential 8.7.2 The Magnetic Scalar Potential 8.8 Applications 8.9 Experiments 9 Magnetic  Materials9.1 Introduction 9.2 Magnetic Properties of Materials 9.2.1 The Magnetic Dipole 9.2.2 Magnetization: A Model of Magnetic Properties of\penalty \@M \ Materials 9.2.3 Behavior of Magnetic Materials 9.2.3.1 Diamagnetic and Paramagnetic Materials 9.2.3.2 Ferromagnetic Materials 9.2.3.3 Other Magnetic Materials 9.3 Magnetic Interface Conditions 9.3.1 Interface Conditions for the Tangential and Normal Components of the Magnetic Field Intensity H 9.4 Inductance and Inductors 9.5 Energy Stored in the Magnetic Field 9.5.1 Magnetostatic Energy in Terms of Fields 9.6 Magnetic Circuits 9.7 Forces in the Magnetic Field 9.7.1 Principle of Virtual Work: Energy in a Gap 9.8 Torque 9.9 Applications 9.1 Experiments 10 Faraday's\penalty \@M \ Law and Induction 10.1 Introduction 10.2 Faraday's Law 10.3 Lenz's Law 10.4 Motional Electromotive Force: The\penalty \@M \ dc\penalty \@M \ Generator 10.5 Induced emf due to Transformer\penalty \@M \ Action 10.6 Combined Motional and Transformer Action Electromotive Force 10.6.1 The Alternating Current Generator 10.7 The Transformer 10.7.1 The Ideal Transformer 10.7.2 The Real Transformer: Finite Permeability 10.7.3 The Real Transformer: Finite Permeability and\penalty \@M \ Flux\penalty \@M \ Leakage 10.8 Eddy Currents 10.9 Applications 10.1 Experiments 11 Maxwell's Equations 11.1 Introduction: The\penalty \@M \ Electromagnetic\penalty \@M \ Field 11.2 Maxwell's Equations 11.2.1 Maxwell's Equations in Differential Form 11.2.2 Maxwell's Equations in Integral Form 11.3 Time-Dependent Potential Functions 11.3.1 Scalar Potentials 11.3.2 The Magnetic Vector Potential 11.3.3 Other Potential Functions 11.4 Interface Conditions for the\penalty \@M \ Electromagnetic\penalty \@M \ Field 11.4.1 Interface Conditions for the Electric Field 11.4.2 Interface Conditions for the Magnetic Field 11.5 Particular Forms of Maxwell's\penalty \@M \ Equations 11.5.1 Time-Harmonic Representation 11.5.2 Maxwell's Equations: The Time-Harmonic Form 11.5.3 Source-Free Equations 12 Electromagnetic Waves and Propagation 12.1 Introduction 12.2 The Wave 12.3 The Electromagnetic Wave Equation and Its Solution 12.3.1 The Time-Dependent Wave Equation 12.3.2 Time-Harmonic Wave Equations 12.3.3 Solution of the Wave Equation 12.3.4 Solution for Uniform Plane Waves 12.3.5 The One-Dimensional Wave Equation in Free Space and Perfect Dielectrics 12.4 The Electromagnetic Spectrum 12.5 The Poynting Theorem and Electromagnetic Power Density 12.6 The Complex Poynting Vector 12.7 Propagation of Waves in Materials 12.7.1 Propagation of Waves in Lossy Dielectrics 12.7.2 Plane Waves in Low Loss Dielectrics 12.7.3 Propagation of Plane Waves in Conductors 12.7.4 The Speed of Propagation of Waves and Dispersion 12.7.4.1 Group velocity 12.7.4.2 Velocity of Energy Transport 12.7.4.3 Dispersion 12.8 Polarization of Plane Waves 12.8.1 Linear Polarization 12.8.2 Elliptical and Circular Polarization 12.9 Applications 12.1 Experiments 13 Reflection and Transmission of Plane Waves 13.1 Introduction 13.2 Reflection and Transmission at a General Dielectric Interface: Normal\penalty \@M \ Incidence 13.2.1 Reflection and Transmission at an Air-Lossy Dielectric Interface: Normal Incidence 13.2.2 Reflection and Transmission at an Air-Lossless Dielectric Interface: Normal Incidence 13.2.3 Reflection and Transmission at an Air-Conductor Interface: Normal Incidence 13.3 Reflection and Transmission at an\penalty \@M \ Interface: Oblique Incidence on a\penalty \@M \ Conductor 13.3.1 Oblique Incidence on a Conducting Interface: Perpendicular Polarization 13.3.2 Oblique Incidence on a Conducting Interface: Parallel Polarization 13.4 Oblique Incidence on Dielectric\penalty \@M \ Interfaces 13.4.1 Oblique Incidence on a Dielectric Interface: Perpendicular Polarization 13.4.2 Oblique Incidence on a Dielectric Interface: Parallel\penalty \@M \ Polarization 13.4.3 Brewster's Angle 13.4.3.1 Brewster's Angle for Parallel Polarization 13.4.3.2 Brewster's Angle for Perpendicular Polarization 13.4.4 Total Reflection 13.5 Reflection and Transmission for Layered Materials at Normal Incidence 13.5.1 Reflection and Transmission for a Lossy Dielectric Slab at Normal Incidence 13.5.2 Reflection and Transmission for a Lossless Dielectric Slab at Normal Incidence 13.5.3 Reflection and Transmission for a Conducting Slab at Normal Incidence 13.5.4 Reflection and T...

Dettagli dell?edizione

• Editore: Springer Verlag
• Data di pubblicazione: 2010
• ISBN 10: 0387098038
• ISBN 13: 9780387098036
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 88
• Contatto del produttore: non disponibile