Prof. Dr. Magdi El-Saadawi - موقع الدكتور مجدى السعداوى Field Theory 2nd Year EE Students Prof. Dr. Magdi El-Saadawi [email protected] 2015/2016 10/2/2015 Prof

Electromagnetic Field Theory

2nd Year EE Students

Prof. Dr. Magdi El-Saadawiwww.saadawi1.net

[email protected]

2015/201610/2/2015 1Prof. Dr. Magdi El-Saadawi

http://www.saadawi1.net/



mailto:[email protected]



Contents

Chapter 1 Introduction and Course Objectives

Chapter 2 Vector Algebra &Maxwell’s Equations

Chapter 3 Electrostatic Field Theorems

Chapter 4 Stationary Current Fields

Chapter 5 Stationary Magnetic Fields

Chapter 6 Time-Varying Fields and Maxwell’s Equations

Chapter 7 Electromagnetic Wave Propagation

10/2/2015 2Prof. Dr. Magdi El-Saadawi

Chapter 1

Introduction

and

Course Objectives


Chapter 1

Introduction and Course Objectives

1.1. What is Electromagnetics?

1.2. Course Aims

1.3. Course Attributes

1.4. Intended Learning Outcomes (ILOs)1.4.1 Knowledge and Understanding

1.4.2 Intellectual Skills

1.4.2 Professional Skills

1.4.2 General Skills

1.5. Assessment Scheduling and Weighting1.6. List of References10/2/2015 4Prof. Dr. Magdi El-Saadawi

EM principles find applications in:

microwaves, antennas, electric machines, satellitecommunications, bio-electromagnetics, plasmas,nuclear research, fiber optics, electromagneticinterference and compatibility …….




EM devices include:

Transformers, electric relays, radio/TV, telephone,electric motors, transmission lines, waveguides,antennas, optical fibers, radars, and lasers.

The design of these devices requires thoroughknowledge of the laws and principles of EM.


1.2. Course Aims

This course aims to provide students with an

understanding of electromagnetic field theory and

wave propagation in the context of applications in

electrical engineering.


1.4.1. Knowledge and Understanding

1.4.2. Intellectual Skills الفكرية المهارات

1.4.3. Professional Skills المهنية

1.4.4. General Skills

1.4. Intended Learning Outcomes (ILOs) مخرجات التعلم المستهدفة


1.4.1. Knowledge and Understanding

• State the concepts and theories of mathematics(Vector analysis), appropriate to theelectromagnetic and electrostatic fields.

• Draw استخالص the characteristics of engineeringmaterials related to the electromagnetics.

• State the suitable methodology of solvingelectrostatic and magnetostatic problems.

• Describe the methods and tools for electrostatic,magnetostatic and wave propagation


1.4.2. Intellectual Skills

• Model the electrostatic and magneto-static fields’problems.

• Investigate من التحقق the characteristics andperformance of components used in EM

• Investigate the failure of components due toelectrostatic and magneto-static fields.

• Formulate engineering problems to solveelectrostatic, magneto-static and wavepropagation problems.

• Test components, and equipment of EM.


1.4.3. Professional Skills

• Apply knowledge of design, and engineeringpractice integrally to solve electrostatic andmagnetostatic problems.

• Use a wide range of analytical tools andtechniques pertaining to the electromagnetics.

• Evaluate manufacturing of components andequipment related to electromagnetics.

• Apply modern techniques, skills and engineeringtools to electromagnetics.


1.4.4. General Skills

• Search for information related to EM field

• Refer to relevant literatures. الصلة ذات الموضوعات إلى الرجوع


1.5. Assessment Scheduling and Weighting


1.6. List of References

1. F. M. Youssef, “Electromagnetic Field Theory”, 4th editionMansoura University Press, 2012.

2. P. J. Nolan, “The Fundamentals of Electromagnetic Theory”, StateUniversity of New York, 2009.

3. N. N. Rao, “Fundamentals of Electromagnetics for Electrical andComputer Engineering”, Illinois Ece Series, 2008.

4. R. Bansal, “Fundamentals of Engineering Electromagnetics”, Taylor& Francis Group, 2006.

5. R. Bansal, “Handbook of Engineering Electromagnetics”, MarcelDekker, Inc., 2004.


1.6. List of References

6. W.H. Hayt, J.A. Buck, “Engineering Electromagnetics”, 6th edition,McGraw Companies, 2001.

7. C. R. Paul, K. W. Whites, and S. A. Nasar “Introduction toElectromagnetic Fields”, Mcgraw-Hill, 1997.

8. H. P. Neff, “Introductory Electromagnetics”, John Wiley & Sons Inc.,1991.

9. M. N. Sadiku, “Elements of Electromagnetics”, The Oxford Series inElectrical and Computer Engineering, Oxford University Press2010.

10. D. K. Cheng, “Field and wave Electromagnetics”, Addison-WeselyPublishing Company, 1983


Chapter 2

Vector Algebra

and

Maxwell’s equations


Chapter 2

Vector Algebra and Maxwell’s Equations

2.1. Introduction

2.2. Vector Analysis

2.2.1 Scalars and vectors

2.2.2 Vector addition

2.3. Coordinate Systems

2.4. Vector Components and Unit Vectors

2.5. Vector Multiplication

2.5.1 The dot Product

2.5.2 The cross product10/2/2015 18Prof. Dr. Magdi El-Saadawi

Chapter 2

Vector Algebra and Maxwell’s Equations

2.6. The Gradient

2.7. Divergence of a vector and Divergence Theorem

2.8. The curl of a vector and Stock’s theorem

2.9. The Laplacian

2.10. Important Vector Identities

2.11. Maxwell’s Equations


2.1 Introduction

In this introductory chapter:

• A brief review of the vector algebra.

• Presentation of the three most common coordinate systems, Cartesian, cylindrical, and spherical coordinations

• Explanation of more complicated operations, such as divergence of a vector, gradient of a scalar, curl of a vector, line integral, flux of a vector.

• The use for these vector operations in Maxwell’s equations and in practical applications such as lines, guides, and antennas.


2.2. Vector Analysis


2.2.1 Scalars and Vectors

Scalar refers to a quantity whose value may be

represented by a single real number.

For example: temperature, mass, density, pressure,

voltage, …..


2.2.1 Scalars and Vectors

A vector quantity has both a magnitude and a direction in space.

We shall be concerned with two-and three dimensional spaces only but vectors may be defined in n-dimensional space in more advanced applications.

examples for vectors are: Force, velocity, acceleration, …..


2.2.2 Vector addition

Two vectors and are equal if they have the samemagnitude, and direction.


2.2.2 Vector addition (cont.)

The vector addition obeys both:

commutative law:

قانون التبادل

associative law:

قانون التجميع

Vector

Subtraction


2.2.2 Vector addition (cont.)

Vectors may be multiplied by scalars. Multiplication of a vector by a scalar also obeys the associative and distributive laws of algebra, leading to:


2.3 Coordinate Systems

Coordinate systems that will be used in this textbook are: the Cartesian (rectangular), circular cylindrical, and spherical coordinate systems.

In three dimension space, any point are defined by three crossing perpendicular planes

Cartesian: x, y , z

Cylindrical: ρ,φ, z

Spherical: r, θ, φ


Representation of a point in Cartesian coordinates




Unit vectors


Differential elements of volume


Differential elements of vector length, vector area,

and scalar volume


Cylindrical

Coordinates


Unit vectors






and scalar volume




Unit vectors


Unit vectors





and scalar volume




Transformation between coordinate system


Transformation between coordinate system


Documents

Prof. Dr. Magdi El-Saadawi - موقع الدكتور مجدى السعداوى Field Theory 2nd Year EE Students Prof. Dr. Magdi El-Saadawi [email protected] 2015/2016 10/2/2015 Prof