Prof. Dr. Magdi El-Saadawi - موقع الدكتور مجدى السعداوى Field Theory 2nd Year...
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Transcript of Prof. Dr. Magdi El-Saadawi - موقع الدكتور مجدى السعداوى Field Theory 2nd Year...
Electromagnetic Field Theory
2nd Year EE Students
Prof. Dr. Magdi El-Saadawiwww.saadawi1.net
2015/201610/2/2015 1Prof. Dr. Magdi El-Saadawi
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
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Chapter 1
Introduction
and
Course Objectives
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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 …….
1.1. What is Electromagnetics?
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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 thoroughknowledge of the laws and principles of EM.
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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.
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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
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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
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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.
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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.
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1.4.4. General Skills
• Search for information related to EM field
• Refer to relevant literatures. الصلة ذات الموضوعات إلى الرجوع
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1.5. Assessment Scheduling and Weighting
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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.
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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
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Chapter 2
Vector Algebra
and
Maxwell’s equations
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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
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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.
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2.2. Vector Analysis
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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, …..
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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, …..
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2.2.2 Vector addition
Two vectors and are equal if they have the samemagnitude, and direction.
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2.2.2 Vector addition (cont.)
The vector addition obeys both:
commutative law:
قانون التبادل
associative law:
قانون التجميع
Vector
Subtraction
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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:
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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
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Representation of a point in Cartesian coordinates
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Unit vectors
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Differential elements of volume
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Differential elements of vector length, vector area,
and scalar volume
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Cylindrical
Coordinates
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Unit vectors
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Differential elements of volume
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Differential elements of vector length, vector area,
and scalar volume
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10/2/2015 39Prof. Dr. Magdi El-Saadawi
10/2/2015 40Prof. Dr. Magdi El-Saadawi
Unit vectors
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Unit vectors
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Differential elements of volume
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Differential elements of vector length, vector area,
and scalar volume
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Transformation between coordinate system
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Transformation between coordinate system
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