Product Overview
Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies.
Here in this highly useful reference is the finest overview of electromagnetics currently available, with hundreds of electromagnetics problems that cover everything from dielectrics and magnetic fields to plane waves and transmission lines. Each problem is clearly solved with step-by-step detailed solutions.
DETAILS
- The PROBLEM SOLVERS are unique - the ultimate in study guides.
- They are ideal for helping students cope with the toughest subjects.
- They greatly simplify study and learning tasks.
- They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding.
- They cover material ranging from the elementary to the advanced in each subject.
- They work exceptionally well with any text in its field.
- PROBLEM SOLVERS are available in 41 subjects.
- Each PROBLEM SOLVER is prepared by supremely knowledgeable experts.
- Most are over 1000 pages.
- PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly.
TABLE OF CONTENTS
Introduction
SECTION I
Chapter 1: Vector Analysis
Scalars and Vectors
Gradient, Divergence, and Curl
Line, Surface, and Volume Integrals
Stoke's Theorem
Chapter 2: Electric Charges
Charge Densities and Distributions
Coulomb's Law
Electric Field
Chapter 3: Electric Field Intensity
Electric Flux
Gauss's Law
Charges
Chapter 4: Potential
Work
Potential
Potential and Gradient
Motion in Electric Field
Energy
Chapter 5: Dielectrics
Current Density
Resistance
Polarization
Boundary Conditions
Dielectrics
Chapter 6: Capacitance
Capacitance
Parallel Plate Capacitors
Coaxial and Concentric Capacitors
Multiple Dielectric Capacitors, Series and Parallel Combinations
Potential
Stored Energy and Force in Capacitors
Chapter 7: Poisson's and Laplace Equations
Laplace's Equation
Poisson's Equation
Iteration Method
Images
Chapter 8: Steady Magnetic Fields
Biot-Savart's Law
Ampere's Law
Magnetic Flux and Flux Density
Vector Magnetic Potential
H-Field
Chapter 9: Forces in Steady Magnetic Fields
Forces on Moving Charges
Forces on Differential Current Elements
Forces on Conductors Carrying Currents
Magnetization
Magnetic Boundary Conditions
Potential Energy of Magnetic Fields
Chapter 10: Magnetic Circuits
Reluctance and Permeance
Determination of Ampere-Turns
Flux Produced by a Given mmf
Self and Mutual Inductance
Force and Torque in Magnetic Circuits
Chapter 11: Time - Varying Fields and Maxwell's Equations
Faraday's Law
Maxwell's Equations
Displacement Current
Generators
Chapter 12: Plane Waves
Energy and the Poynting Vector
Normal Incidence
Boundary Conditions
Plane Waves in Conducting Dielectric Media
Plane Waves in Free Space
Plane Waves and Current Density
Chapter 13: Transmission Lines
Equations of Transmission Lines
Input Impedances
Smith Chart
Matching
Reflection Coefficient
Chapter 14: Wave Guides and Antennas
Cutoff Frequencies for TE and TM Modes
Propagation and Attenuation Constants
Field Components in Wave-Guides
Absorbed and Transmitted Power
Characteristics of Antennas
Radiated and Absorbed Power of Antennas
SECTION II - Summary of Electromagnetic Propagation in Conducting Media
II-1 Basic Equations and Theorems
Maxwell's Equation
Auxiliary Potentials
Harmonic Time Variation
Particular Solutions for an Unbounded Homogenous Region with Sources
Poynting Vector
Reciprocity Theorem
Boundary Conditions
Uniqueness Theorems
TM and TE Field Analysis
II-2 Plane Waves
Uniform Plane Waves
Nonuniform Plane Waves
Reflection and Refraction at a Plane Surface
Refraction in a Conducting Medium
Surface Waves
Plane Waves in Layered Media
Impedance Boundary Conditions
Propogation into a conductor with a Rough Surface
II-3 Electromagnetic Field of Dipole Sources
Infinite Homogenous Conducting Medium
Semi-Infinite Homogenous Conducting Medium
Static Electric Dipole
Harmonic Dipole Sources
Far Field
Near Field
Quasi-Static Field
Layered Conducting Half Space
II-4 Electromagnetic Field of Long Line Sources and Finite Length Electric Antennas
Infinite Homogenous Conducting Medium
Long Line Source
Finite Length Electric Antenna
Semi-Infinite Homogenous Conducting Medium
Long Line Source
Finite Length Electric Antenna
Layered Conducting Half Space
Long Line Source
Finite Length Electric Antenna
Appendix
Parameters of Conducting Media
Dipole Approximation Scattering
Antenna Impedance
ELF and VLF Atmospheric Noise
Index
WHAT THIS BOOK IS FOR
Students have generally found electromagnetics a difficult subject to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of electromagnetics continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of electromagnetics terms also contribute to the difficulties of mastering the subject.
In a study of electromagnetics, REA found the following basic reasons underlying the inherent difficulties of electromagnetics:
No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem which leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error.
Current textbooks normally explain a given principle in a few pages written by an electromagnetics professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle's use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range of applications and different aspects of the principle being studied. The numerous possible variations of principles and their applications are usually not discussed, and it is left to the reader to discover this while doing exercises. Accordingly, the average student is expected to rediscover that which has long been established and practiced, but not always published or adequately explained.
The examples typically following the explanation of a topic are too few in number and too simple to enable the student to obtain a thorough grasp of the involved principles. The explanations do not provide sufficient basis to solve problems that may be assigned for homework or given on examinations.
Poorly solved examples such as these can be presented in abbreviated form which leaves out much explanatory material between steps, and as a result requires the reader to figure out the missing information. This leaves the reader with an impression that the problems and even the subject are hard to learn - completely the opposite of what an example is supposed to do.
Poor examples are often worded in a confusing or obscure way. They might not state the nature of the problem or they present a solution, which appears to have no direct relation to the problem. These problems usually offer an overly general discussion - never revealing how or what is to be solved.
Many examples do not include accompanying diagrams or graphs, denying the reader the exposure necessary for drawing good diagrams and graphs. Such practice only strengthens understanding by simplifying and organizing electromagnetics processes.
Students can learn the subject only by doing the exercises themselves and reviewing them in class, obtaining experience in applying the principles with their different ramifications.
In doing the exercises by themselves, students find that they are required to devote considerable more time to electromagnetics than to other subjects, because they are uncertain with regard to the selection and application of the theorems and principles involved. It is also often necessary for students to discover those tricks not revealed in their texts (or review books) that make it possible to solve problems easily. Students must usually resort to methods of trial and error to discover these tricks, therefore finding out that they may sometimes spend several hours to solve a single problem.
When reviewing the exercises in classrooms, instructors usually request students to take turns in writing solutions on the boards and explaining them to the class. Students often find it difficult to explain in a manner that holds the interest of the class, and enables the remaining students to follow the material written on the boards. The remaining students in the class are thus too occupied with copying the material off the boards to follow the professor's explanations.
This book is intended to aid students in electromagnetics overcome the difficulties described by supplying detailed illustrations of the solution methods that are usually not apparent to students. Solution methods are illustrated by problems that have been selected from those most often assigned for class work and given on examinations. The problems are arranged in order of complexity to enable students to learn and understand a particular topic by reviewing the problems in sequence. The problems are illustrated with detailed, step-by-step explanations, to save the students large amounts of time that is often needed to fill in the gaps that are usually found between steps of illustrations in textbooks or review/outline books.
The staff of REA considers electromagnetics a subject that is best learned by allowing students to view the methods of analysis and solution techniques. This learning approach is similar to that practiced in various scientific laboratories, particularly in the medical fields.
In using this book, students may review and study the illustrated problems at their own pace; students are not limited to the time such problems receive in the classroom.
When students want to look up a particular type of problem and solution, they can readily locate it in the book by referring to the index that has been extensively prepared. It is also possible to locate a particular type of problem by glancing at just the material within the boxed portions. Each problem is numbered and surrounded by a heavy black border for speedy identification.
Here in this highly useful reference is the finest overview of electromagnetics currently available, with hundreds of electromagnetics problems that cover everything from dielectrics and magnetic fields to plane waves and transmission lines. Each problem is clearly solved with step-by-step detailed solutions.
DETAILS
- The PROBLEM SOLVERS are unique - the ultimate in study guides.
- They are ideal for helping students cope with the toughest subjects.
- They greatly simplify study and learning tasks.
- They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding.
- They cover material ranging from the elementary to the advanced in each subject.
- They work exceptionally well with any text in its field.
- PROBLEM SOLVERS are available in 41 subjects.
- Each PROBLEM SOLVER is prepared by supremely knowledgeable experts.
- Most are over 1000 pages.
- PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly.
TABLE OF CONTENTS
Introduction
SECTION I
Chapter 1: Vector Analysis
Scalars and Vectors
Gradient, Divergence, and Curl
Line, Surface, and Volume Integrals
Stoke's Theorem
Chapter 2: Electric Charges
Charge Densities and Distributions
Coulomb's Law
Electric Field
Chapter 3: Electric Field Intensity
Electric Flux
Gauss's Law
Charges
Chapter 4: Potential
Work
Potential
Potential and Gradient
Motion in Electric Field
Energy
Chapter 5: Dielectrics
Current Density
Resistance
Polarization
Boundary Conditions
Dielectrics
Chapter 6: Capacitance
Capacitance
Parallel Plate Capacitors
Coaxial and Concentric Capacitors
Multiple Dielectric Capacitors, Series and Parallel Combinations
Potential
Stored Energy and Force in Capacitors
Chapter 7: Poisson's and Laplace Equations
Laplace's Equation
Poisson's Equation
Iteration Method
Images
Chapter 8: Steady Magnetic Fields
Biot-Savart's Law
Ampere's Law
Magnetic Flux and Flux Density
Vector Magnetic Potential
H-Field
Chapter 9: Forces in Steady Magnetic Fields
Forces on Moving Charges
Forces on Differential Current Elements
Forces on Conductors Carrying Currents
Magnetization
Magnetic Boundary Conditions
Potential Energy of Magnetic Fields
Chapter 10: Magnetic Circuits
Reluctance and Permeance
Determination of Ampere-Turns
Flux Produced by a Given mmf
Self and Mutual Inductance
Force and Torque in Magnetic Circuits
Chapter 11: Time - Varying Fields and Maxwell's Equations
Faraday's Law
Maxwell's Equations
Displacement Current
Generators
Chapter 12: Plane Waves
Energy and the Poynting Vector
Normal Incidence
Boundary Conditions
Plane Waves in Conducting Dielectric Media
Plane Waves in Free Space
Plane Waves and Current Density
Chapter 13: Transmission Lines
Equations of Transmission Lines
Input Impedances
Smith Chart
Matching
Reflection Coefficient
Chapter 14: Wave Guides and Antennas
Cutoff Frequencies for TE and TM Modes
Propagation and Attenuation Constants
Field Components in Wave-Guides
Absorbed and Transmitted Power
Characteristics of Antennas
Radiated and Absorbed Power of Antennas
SECTION II - Summary of Electromagnetic Propagation in Conducting Media
II-1 Basic Equations and Theorems
Maxwell's Equation
Auxiliary Potentials
Harmonic Time Variation
Particular Solutions for an Unbounded Homogenous Region with Sources
Poynting Vector
Reciprocity Theorem
Boundary Conditions
Uniqueness Theorems
TM and TE Field Analysis
II-2 Plane Waves
Uniform Plane Waves
Nonuniform Plane Waves
Reflection and Refraction at a Plane Surface
Refraction in a Conducting Medium
Surface Waves
Plane Waves in Layered Media
Impedance Boundary Conditions
Propogation into a conductor with a Rough Surface
II-3 Electromagnetic Field of Dipole Sources
Infinite Homogenous Conducting Medium
Semi-Infinite Homogenous Conducting Medium
Static Electric Dipole
Harmonic Dipole Sources
Far Field
Near Field
Quasi-Static Field
Layered Conducting Half Space
II-4 Electromagnetic Field of Long Line Sources and Finite Length Electric Antennas
Infinite Homogenous Conducting Medium
Long Line Source
Finite Length Electric Antenna
Semi-Infinite Homogenous Conducting Medium
Long Line Source
Finite Length Electric Antenna
Layered Conducting Half Space
Long Line Source
Finite Length Electric Antenna
Appendix
Parameters of Conducting Media
Dipole Approximation Scattering
Antenna Impedance
ELF and VLF Atmospheric Noise
Index
WHAT THIS BOOK IS FOR
Students have generally found electromagnetics a difficult subject to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of electromagnetics continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of electromagnetics terms also contribute to the difficulties of mastering the subject.
In a study of electromagnetics, REA found the following basic reasons underlying the inherent difficulties of electromagnetics:
No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem which leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error.
Current textbooks normally explain a given principle in a few pages written by an electromagnetics professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle's use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range of applications and different aspects of the principle being studied. The numerous possible variations of principles and their applications are usually not discussed, and it is left to the reader to discover this while doing exercises. Accordingly, the average student is expected to rediscover that which has long been established and practiced, but not always published or adequately explained.
The examples typically following the explanation of a topic are too few in number and too simple to enable the student to obtain a thorough grasp of the involved principles. The explanations do not provide sufficient basis to solve problems that may be assigned for homework or given on examinations.
Poorly solved examples such as these can be presented in abbreviated form which leaves out much explanatory material between steps, and as a result requires the reader to figure out the missing information. This leaves the reader with an impression that the problems and even the subject are hard to learn - completely the opposite of what an example is supposed to do.
Poor examples are often worded in a confusing or obscure way. They might not state the nature of the problem or they present a solution, which appears to have no direct relation to the problem. These problems usually offer an overly general discussion - never revealing how or what is to be solved.
Many examples do not include accompanying diagrams or graphs, denying the reader the exposure necessary for drawing good diagrams and graphs. Such practice only strengthens understanding by simplifying and organizing electromagnetics processes.
Students can learn the subject only by doing the exercises themselves and reviewing them in class, obtaining experience in applying the principles with their different ramifications.
In doing the exercises by themselves, students find that they are required to devote considerable more time to electromagnetics than to other subjects, because they are uncertain with regard to the selection and application of the theorems and principles involved. It is also often necessary for students to discover those tricks not revealed in their texts (or review books) that make it possible to solve problems easily. Students must usually resort to methods of trial and error to discover these tricks, therefore finding out that they may sometimes spend several hours to solve a single problem.
When reviewing the exercises in classrooms, instructors usually request students to take turns in writing solutions on the boards and explaining them to the class. Students often find it difficult to explain in a manner that holds the interest of the class, and enables the remaining students to follow the material written on the boards. The remaining students in the class are thus too occupied with copying the material off the boards to follow the professor's explanations.
This book is intended to aid students in electromagnetics overcome the difficulties described by supplying detailed illustrations of the solution methods that are usually not apparent to students. Solution methods are illustrated by problems that have been selected from those most often assigned for class work and given on examinations. The problems are arranged in order of complexity to enable students to learn and understand a particular topic by reviewing the problems in sequence. The problems are illustrated with detailed, step-by-step explanations, to save the students large amounts of time that is often needed to fill in the gaps that are usually found between steps of illustrations in textbooks or review/outline books.
The staff of REA considers electromagnetics a subject that is best learned by allowing students to view the methods of analysis and solution techniques. This learning approach is similar to that practiced in various scientific laboratories, particularly in the medical fields.
In using this book, students may review and study the illustrated problems at their own pace; students are not limited to the time such problems receive in the classroom.
When students want to look up a particular type of problem and solution, they can readily locate it in the book by referring to the index that has been extensively prepared. It is also possible to locate a particular type of problem by glancing at just the material within the boxed portions. Each problem is numbered and surrounded by a heavy black border for speedy identification.
