2. Textbook and Syllabus Textbook: Syllabus:
Engineering Electromagnetics
Textbook and Syllabus
Textbook:
“Engineering Electromagnetics”, William H. Hayt, Jr. and John A. Buck, McGraw-Hill, 2006.
Syllabus:
Chapter 1: Vector Analysis
Chapter 2: Coulomb’s Law and Electric Field Intensity
Chapter 3: Electric Flux Density, Gauss’ Law, and Divergence
Chapter 4: Energy and Potential
Chapter 5: Current and Conductors
Chapter 6: Dielectrics and Capacitance
Chapter 8: The Steady Magnetic Field
Chapter 9: Magnetic Forces, Materials, and Inductance

3. Grade Policy Grade Policy:
Engineering Electromagnetics
Grade Policy
Grade Policy:
Final Grade = 10% Homework + 20% Quizzes % Midterm Exam + 40% Final Exam Extra Points
Homeworks will be given in fairly regular basis. The average of homework grades contributes 10% of final grade.
Homeworks are to be written on A4 papers, otherwise they will not be graded.
Homeworks must be submitted on time. If you submit late,
< 10 min.  No penalty
10 – 60 min.  –20 points
> 60 min.  –40 points
There will be 3 quizzes. Only the best 2 will be counted. The average of quiz grades contributes 20% of final grade.

4. Grade Policy Grade Policy:
Engineering Electromagnetics
Grade Policy
Heading of Homework Papers (Required)
Grade Policy:
Midterm and final exam schedule will be announced in time.
Make up of quizzes and exams will be held one week after the schedule of the respective quizzes and exams.
The score of a make up quiz or exam can be multiplied by 0.9 (the maximum score for a make up is 90).

5. Grade Policy Grade Policy:
Engineering Electromagnetics
Grade Policy
Grade Policy:
Extra points will be given every time you solve a problem in front of the class. You will earn 1 or 2 points.
Lecture slides can be copied during class session. It also will be available on internet around 3 days after class. Please check the course homepage regularly.

6. What is Electromagnetics?
Engineering Electromagnetics
What is Electromagnetics?
Electric field
Produced by the presence of electrically charged particles, and gives rise to the electric force.
Magnetic field
Produced by the motion of electric charges, or electric current, and gives rise to the magnetic force associated with magnets.

7. Electromagnetic Wave Spectrum
Engineering Electromagnetics
Electromagnetic Wave Spectrum

8. Why do we learn Engineering Electromagnetics
Electric and magnetic field exist nearly everywhere.

9. Engineering Electromagnetics
Applications
Electromagnetic principles find application in various disciplines such as microwaves, x-rays, antennas, electric machines, plasmas, etc.

10. Engineering Electromagnetics
Applications
Electromagnetic fields are used in induction heaters for melting, forging, annealing, surface hardening, and soldering operation.
Electromagnetic devices include transformers, radio, television, mobile phones, radars, lasers, etc.

11. Applications Transrapid Train
Engineering Electromagnetics
Applications
Transrapid Train
A magnetic traveling field moves the vehicle without contact.
The speed can be continuously regulated by varying the frequency of the alternating current.

12. Chapter 1
Vector Analysis
Scalars and Vectors
Scalar refers to a quantity whose value may be represented by a single (positive or negative) real number.
Some examples include distance, temperature, mass, density, pressure, volume, and time.
A vector quantity has both a magnitude and a direction in space. We especially concerned with two- and three-dimensional spaces only.
Displacement, velocity, acceleration, and force are examples of vectors.
Scalar notation: A or A (italic or plain)
Vector notation: A or A (bold or plain with arrow) →

13. Chapter 1
Vector Analysis
Vector Algebra

14. Rectangular Coordinate System
Chapter 1
Vector Analysis
Rectangular Coordinate System
Differential surface units:
Differential volume unit :

15. Vector Components and Unit Vectors
Chapter 1
Vector Analysis
Vector Components and Unit Vectors

16. Vector Components and Unit Vectors
Chapter 1
Vector Analysis
Vector Components and Unit Vectors
For any vector B, :
Magnitude of B
Unit vector in the direction of B
Example
Given points M(–1,2,1) and N(3,–3,0), find RMN and aMN.

17. Chapter 1
Vector Analysis
The Dot Product
Given two vectors A and B, the dot product, or scalar product, is defines as the product of the magnitude of A, the magnitude of B, and the cosine of the smaller angle between them:
The dot product is a scalar, and it obeys the commutative law:
For any vector and ,

18. Chapter 1
Vector Analysis
The Dot Product
One of the most important applications of the dot product is that of finding the component of a vector in a given direction.
The scalar component of B in the direction of the unit vector a is Ba
The vector component of B in the direction of the unit vector a is (Ba)a

19. The Dot Product Example
Chapter 1
Vector Analysis
The Dot Product
Example
The three vertices of a triangle are located at A(6,–1,2), B(–2,3,–4), and C(–3,1,5). Find: (a) RAB; (b) RAC; (c) the angle θBAC at vertex A; (d) the vector projection of RAB on RAC.

20. The Dot Product Example
Chapter 1
Vector Analysis
The Dot Product
Example
The three vertices of a triangle are located at A(6,–1,2), B(–2,3,–4), and C(–3,1,5). Find: (a) RAB; (b) RAC; (c) the angle θBAC at vertex A; (d) the vector projection of RAB on RAC.

21. Chapter 1
Vector Analysis
The Cross Product
Given two vectors A and B, the magnitude of the cross product, or vector product, written as AB, is defines as the product of the magnitude of A, the magnitude of B, and the sine of the smaller angle between them.
The direction of AB is perpendicular to the plane containing A and B and is in the direction of advance of a right-handed screw as A is turned into B.
The cross product is a vector, and it is not commutative:

22. The Cross Product Example
Chapter 1
Vector Analysis
The Cross Product
Example
Given A = 2ax–3ay+az and B = –4ax–2ay+5az, find AB.

23. The Cylindrical Coordinate System
Chapter 1
Vector Analysis
The Cylindrical Coordinate System

24. The Cylindrical Coordinate System
Chapter 1
Vector Analysis
The Cylindrical Coordinate System
Differential surface units:
Relation between the rectangular and the cylindrical coordinate systems
Differential volume unit :

25. The Cylindrical Coordinate System
Chapter 1
Vector Analysis
The Cylindrical Coordinate System
Dot products of unit vectors in cylindrical and rectangular coordinate systems

26. The Spherical Coordinate System
Chapter 1
Vector Analysis
The Spherical Coordinate System

27. The Spherical Coordinate System
Chapter 1
Vector Analysis
The Spherical Coordinate System
Differential surface units:
Differential volume unit :

28. The Spherical Coordinate System
Chapter 1
Vector Analysis
The Spherical Coordinate System
Relation between the rectangular and the spherical coordinate systems
Dot products of unit vectors in spherical and rectangular coordinate systems

29. The Spherical Coordinate System
Chapter 1
Vector Analysis
The Spherical Coordinate System
Example
Given the two points, C(–3,2,1) and D(r = 5, θ = 20°, Φ = –70°), find: (a) the spherical coordinates of C; (b) the rectangular coordinates of D.

30. Homework 1 D1.4. (p.14) D1.6. (p.19) D1.8. (p.22)
Chapter 1
Vector Analysis
Homework 1
D1.4. (p.14)
D1.6. (p.19)
D1.8. (p.22)
Due: Next week 18 January 2011, at 07:30.