Preface 

xii  
Guided Tour 

xvi  


1  (25) 


1  (1) 


2  (2) 

The Rectangular Coordinate System 


4  (1) 

Vector Components and Unit Vectors 


5  (3) 


8  (1) 


9  (3) 


12  (2) 

Other Coordinate Systems: Circular Cylindrical Coordinates 


14  (5) 

The Spherical Coordinate System 


19  (7) 


22  (1) 


23  (3) 

Coulomb's Law and Electric Field Intensity 


26  (25) 

The Experimental Law of Coulomb 


27  (3) 


30  (4) 

Field Due to a Continuous Volume Charge Distribution 


34  (3) 


37  (6) 

Field of a Sheet of Charge 


43  (2) 

Streamlines and Sketches of Fields 


45  (6) 


48  (1) 


48  (3) 

Electric Flux Density, Gauss's Law, and Divergence 


51  (29) 


51  (4) 


55  (4) 

Application of Gauss's Law: Some Symmetrical Charge Distributions 


59  (5) 

Application of Gauss's Law: Differential Volume Element 


64  (3) 


67  (3) 

Maxwell's First Equation (Electrostatics) 


70  (2) 

The Vector Operator ∇ and the Divergence Theorem 


72  (8) 


75  (1) 


76  (4) 


80  (34) 

Energy Expended in Moving a Point Charge in an Electric Field 


81  (1) 


82  (5) 

Definition of Potential Difference and Potential 


87  (2) 

The Potential Field of a Point Charge 


89  (2) 

The Potential Field of a System of Charges: Conservative Property 


91  (4) 


95  (6) 


101  (5) 

Energy Density in the Electrostatic Field 


106  (8) 


110  (1) 


110  (4) 


114  (22) 

Current and Current Density 


114  (2) 


116  (2) 


118  (5) 

Conductor Properties and Boundary Conditions 


123  (5) 


128  (2) 


130  (6) 


132  (1) 


132  (4) 

Dielectrics and Capacitance 


136  (36) 

The Nature of Dielectric Materials 


137  (6) 

Boundary Conditions for Perfect Dielectric Materials 


143  (6) 


149  (3) 

Several Capacitance Examples 


152  (3) 

Capacitance of a TwoWire Line 


155  (5) 

Using Field Sketches to Estimate Capacitance in TwoDimensional Problems 


160  (5) 


165  (7) 


167  (1) 


167  (5) 

Poisson's and Laplace's Equations 


172  (38) 

Derivation of Poisson's and Laplace's Equations 


173  (2) 


175  (2) 

Examples of the Solution of Laplace's Equation 


177  (7) 

Example of the Solution of Poisson's Equation 


184  (4) 

Product Solution of Laplace's Equation 


188  (8) 

Solving Laplace's Equation Through Numerical Iteration 


196  (14) 


202  (1) 


203  (7) 

The Steady Magnetic Field 


210  (49) 


210  (8) 


218  (7) 


225  (7) 


232  (5) 

Magnetic Flux and Magnetic Flux Density 


237  (3) 

The Scalar and Vector Magnetic Potentials 


240  (7) 

Derivation of the SteadyMagneticField Laws 


247  (12) 


253  (1) 


253  (6) 

Magnetic Forces, Materials, and Inductance 


259  (47) 


260  (1) 

Force on a Differential Current Element 


261  (4) 

Force Between Differential Current Elements 


265  (2) 

Force and Torque on a Closed Circuit 


267  (6) 

The Nature of Magnetic Materials 


273  (3) 

Magnetization and Permeability 


276  (5) 

Magnetic Boundary Conditions 


281  (3) 


284  (6) 

Potential Energy and Forces on Magnetic Materials 


290  (2) 

Inductance and Mutual Inductance 


292  (14) 


299  (1) 


299  (7) 

TimeVarying Fields and Maxwell's Equations 


306  (25) 


306  (7) 


313  (4) 

Maxwell's Equations in Point Form 


317  (2) 

Maxwell's Equations in Integral Form 


319  (2) 


321  (10) 


325  (1) 


325  (6) 


331  (65) 

Physical Description of Transmission Line Propagation 


332  (2) 

The Transmission Line Equations 


334  (2) 


336  (3) 

Lossless Propagation of Sinusoidal Voltages 


339  (2) 

Complex Analysis of Sinusoidal Waves 


341  (2) 

Transmission Line Equations and Their Solutions in Phasor Form 


343  (2) 

Lossless and LowLoss Propagation 


345  (2) 

Power Transmission and Loss Characterization 


347  (3) 

Wave Reflection at Discontinuities 


350  (3) 

Voltage Standing Wave Ratio 


353  (4) 

Transmission Lines of Finite Length 


357  (3) 

Some TransmissionLine Examples 


360  (4) 


364  (11) 


375  (21) 


388  (1) 


388  (8) 


396  (38) 

Wave Propagation in Free Space 


396  (8) 

Wave Propagation in Dielectrics 


404  (9) 

Poynting's Theorem and Wave Power 


413  (3) 

Propagation in Good Conductors: Skin Effect 


416  (7) 


423  (11) 


430  (1) 


430  (4) 

Plane Wave Reflection and Dispersion 


434  (46) 

Reflection of Uniform Plane Waves at Normal Incidence 


434  (7) 


441  (4) 

Wave Reflection from Multiple Interfaces 


445  (8) 

Plane Wave Propagation in General Directions 


453  (3) 

Plane Wave Reflection at Oblique Incidence Angles 


456  (6) 

Total Reflection and Total Transmission of Obliquely Incident Waves 


462  (3) 

Wave Propagation in Dispersive Media 


465  (6) 

Pulse Broadening in Dispersive Media 


471  (9) 


475  (1) 


476  (4) 

Guided Waves and Radiation 


480  (62) 

Transmission Line Fields and Primary Constants 


481  (9) 

Basic Waveguide Operation 


490  (4) 

Plane Wave Analysis of the ParallelPlate Waveguide 


494  (9) 

ParallelPlate Guide Analysis Using the Wave Equation 


503  (3) 


506  (5) 

Planar Dielectric Waveguides 


511  (6) 


517  (10) 


527  (15) 


537  (1) 


537  (5) 

Appendix A Vector Analysis 


542  (4) 

A.1 General Curvilinear Coordinates 


542  (1) 

A.2 Divergence, Gradient, and Curl in General Curvilinear Coordinates 


543  (2) 


545  (1) 


546  (5) 

Appendix C Material Constants 


551  (3) 

Appendix D Origins of the Complex Permittivity 


554  (7) 

Appendix E Answers to OddNumbered Problems 


561  (6) 
Index 

567  