Prof. Dr. Magdi El-Saadawi

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1 Electromagnetic Field Theory 2nd Year EE Students Prof. Dr. Magdi El-Saadawi /2016 1

2 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 2

3 Chapter 1 Introduction and Course Objectives 3

4 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) Knowledge and Understanding Intellectual Skills Professional Skills General Skills 1.5. Assessment Scheduling and Weighting 1.6. List of References 4

5 1.1. What is Electromagnetics? EM principles find applications in: microwaves, antennas, electric machines, satellite communications, bio-electromagnetics, plasmas, nuclear research, fiber optics, electromagnetic interference and compatibility. 5

6 1.1. What is Electromagnetics? 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 thorough knowledge of the laws and principles of EM. 6

7 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. 7

8 1.4. Intended Learning Outcomes (ILOs) مخرجات التعلم المستهدفة Knowledge and Understanding المهارات الفكرية Intellectual Skills المهنية Professional Skills General Skills 9

9 Knowledge and Understanding State the concepts and theories of mathematics (Vector analysis), appropriate to the electromagnetic and electrostatic fields. Draw استخالص the characteristics of engineering materials related to the electromagnetics. State the suitable methodology of solving electrostatic and magnetostatic problems. Describe the methods and tools for electrostatic, magnetostatic and wave propagation 10

10 Intellectual Skills Model the electrostatic and magneto-static fields problems. Investigate التحقق من the characteristics and performance of components used in EM Investigate the failure of components due to electrostatic and magneto-static fields. Formulate engineering problems to solve electrostatic, magneto-static and wave propagation problems. Test components, and equipment of EM. 11

11 Professional Skills Apply knowledge of design, and engineering practice integrally to solve electrostatic and magnetostatic problems. Use a wide range of analytical tools and techniques pertaining to the electromagnetics. Evaluate manufacturing of components and equipment related to electromagnetics. Apply modern techniques, skills and engineering tools to electromagnetics. 12

12 General Skills Search for information related to EM field Refer to relevant literatures. إلى الرجوع الموضوعات الصلة ذات 13

13 1.5. Assessment Scheduling and Weighting 14

14 1.6. List of References 1. F. M. Youssef, Electromagnetic Field Theory, 4th edition Mansoura University Press, P. J. Nolan, The Fundamentals of Electromagnetic Theory, State University of New York, N. N. Rao, Fundamentals of Electromagnetics for Electrical and Computer Engineering, Illinois Ece Series, R. Bansal, Fundamentals of Engineering Electromagnetics, Taylor & Francis Group, R. Bansal, Handbook of Engineering Electromagnetics, Marcel Dekker, Inc.,

15 1.6. List of References 6. W.H. Hayt, J.A. Buck, Engineering Electromagnetics, 6th edition, McGraw Companies, C. R. Paul, K. W. Whites, and S. A. Nasar Introduction to Electromagnetic Fields, Mcgraw-Hill, H. P. Neff, Introductory Electromagnetics, John Wiley & Sons Inc., M. N. Sadiku, Elements of Electromagnetics, The Oxford Series in Electrical and Computer Engineering, Oxford University Press D. K. Cheng, Field and wave Electromagnetics, Addison-Wesely Publishing Company,

16 Chapter 2 Vector Algebra and Maxwell s equations 17

17 Chapter 2 Vector Algebra and Maxwell s Equations 2.1. Introduction 2.2. Vector Analysis Scalars and vectors Vector addition 2.3. Coordinate Systems 2.4. Vector Components and Unit Vectors 2.5. Vector Multiplication The dot Product The cross product 18

18 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 Important Vector Identities Maxwell s Equations 19

19 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. 20

20 2.2. Vector Analysis 21

21 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,.. 22

22 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,.. 23

23 2.2.2 Vector addition Two vectors and are equal if they have the same magnitude, and direction. 24

24 2.2.2 Vector addition (cont.) The vector addition obeys both: commutative law: قانون التبادل associative law: Vector قانون التجميع Subtraction 25

25 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: 26

26 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 27

27 Representation of a point in Cartesian coordinates 28

28 29

29 30

30 Unit vectors 31

31 Differential elements of volume 32

32 Differential elements of vector length, vector area, and scalar volume 33

33 Cylindrical Coordinates 34

34 Unit vectors 35

35 36

36 Differential elements of volume 37

37 Differential elements of vector length, vector area, and scalar volume 38

38 39

39 40

40 Unit vectors 41

41 Unit vectors 42

42 Differential elements of volume 43

43 Differential elements of vector length, vector area, and scalar volume 44

44 45

45 46

46 Transformation between coordinate system 47

47 Transformation between coordinate system 48

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