The electromagnetics problem solver

The Staff of REA0878915508, 9780878915507

Covers almost every type of problem that an engineering major will encounter in electric charges, field intensity, dielectrics, capacitance, Poisson’s and Laplace’s equations, magnetic fields, waves, transmission lines, generators, and antennae.

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Table of contents :
Front cover……Page 1
Title page……Page 3
Date-line……Page 4
WHAT THIS BOOK IS FOR……Page 5
TO LEARN AND UNDERSTAND A TOPIC THOROUGHLY……Page 9
CONTENTS……Page 11
Scalars and Vectors……Page 15
Gradient, Divergence and Curl……Page 40
Line, Surface and Volume Integrals……Page 53
Stoke’s Theorem……Page 62
Charge Densities and Distributions……Page 69
Coulomb’s Law……Page 73
Electric Field……Page 80
Electric Flux……Page 100
Gauss’s Law……Page 112
Charges……Page 133
Work……Page 139
Potential……Page 150
Potential and Gradient……Page 184
Motion in Electric Field……Page 195
Energy……Page 201
Current Density……Page 211
Resistance……Page 222
Polarization……Page 226
Boundary Conditions……Page 238
Dielectrics……Page 253
Capacitance……Page 274
Parallel Plate Capacitors……Page 275
Coaxial and Concentric Capacitors……Page 291
Multiple Dielectric Capacitors, Series and Parallel Combinations……Page 299
Potential……Page 311
Stored Energy and Force in Capacitors……Page 317
Laplace’s Equation……Page 330
Poisson’s Equation……Page 369
Iteration Method……Page 386
Images……Page 389
Biot-Savart’s Law……Page 403
Ampere’s Law……Page 406
Magnetic Flux and Flux Density……Page 415
Vector Magnetic Potential……Page 448
H-Field……Page 459
Forces on Moving Charges……Page 471
Forces on Differential Current Elements……Page 478
Forces on Conductors Carrying Currents……Page 482
Magnetization……Page 489
Magnetic Boundary Conditions……Page 502
Potential Energy of Magnetic Fields……Page 509
Reluctance and Permeance……Page 512
Determination of Ampere-Turns……Page 520
Flux produced by a given mmf……Page 535
Self and Mutual Inductance……Page 552
Force and Torque in Magnetic Circuits……Page 572
Faraday’s Law……Page 588
Maxwell’s Equations……Page 618
Displacement Current……Page 625
Generators……Page 628
Energy and the Poynting Vector……Page 638
Normal Incidence……Page 650
Boundary Conditions……Page 663
Plane Waves in Conducting Dielectric Media……Page 672
Plane Waves in Free Space……Page 704
Plane Waves and Current Density……Page 711
Equations of Transmission Lines……Page 716
Input Impedances……Page 736
Smith Chart……Page 742
Matching……Page 762
Reflection Coefficient……Page 770
Cutoff Frequencies for TE and TM Modes……Page 777
Propagation and Attenuation Constants……Page 791
Field Components in Wave-Guides……Page 805
Absorbed and Transmitted Power……Page 819
Characteristics of Antennas……Page 828
Radiated and Absorbed Power of Antennas……Page 836
SECTION II SUMMARY OF ELECTROMAGNETIC PROPAGATION IN CONDUCTING MEDIA……Page 845
Maxwell’s Equations……Page 848
Auxiliary Potentials……Page 849
Harmonic Time Variation……Page 851
Poynting Vector……Page 853
Reciprocity Theorem……Page 854
Boundary Conditions……Page 855
Uniqueness Theorems……Page 856
TM and TE Field Analysis……Page 857
Uniform Plane Waves……Page 859
Nonuniform Plane Waves……Page 861
Reflection and Refraction at a Plane Surface……Page 862
Refraction in a Conducting Medium……Page 866
Surface Waves……Page 868
Plane Waves in Layered Media……Page 870
Impedance Boundary Conditions……Page 873
Propagation Into a Conductor With a Rough Surface……Page 875
Infinite Homogeneous Conducting Medium……Page 878
Semi-Infinite Homogeneous Conducting Medium……Page 879
Static Electric Dipole……Page 880
Harmonic Dipole Sources……Page 882
Far field……Page 883
Near field……Page 886
Quasi-static field……Page 892
Layered Conducting Half Space……Page 904
Long Line Source……Page 916
Finite Length Electric Antenna……Page 917
Long Line Source……Page 918
Finite Length Electric Antenna……Page 923
Long Line Source……Page 927
Finite Length Electric Antenna……Page 931
Parameters of Conducting Media……Page 933
Dipole Approximation Scattering……Page 941
Antenna Impedance……Page 944
ELF and VLF Atmospheric Noise……Page 947
INDEX……Page 954
Back cover……Page 963