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
Grade Policy Grade Policy: Engineering Electromagnetics Grade Policy Grade Policy: Final Grade = 10% Homework + 20% Quizzes + 30% 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.
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).
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. http://zitompul.wordpress.com
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.
Electromagnetic Wave Spectrum Engineering Electromagnetics Electromagnetic Wave Spectrum
Why do we learn Engineering Electromagnetics Electric and magnetic field exist nearly everywhere.
Engineering Electromagnetics Applications Electromagnetic principles find application in various disciplines such as microwaves, x-rays, antennas, electric machines, plasmas, etc.
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.
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.
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) →
Chapter 1 Vector Analysis Vector Algebra
Rectangular Coordinate System Chapter 1 Vector Analysis Rectangular Coordinate System Differential surface units: Differential volume unit :
Vector Components and Unit Vectors Chapter 1 Vector Analysis Vector Components and Unit Vectors
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.
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 ,
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 Ba The vector component of B in the direction of the unit vector a is (Ba)a
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.
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.
Chapter 1 Vector Analysis The Cross Product Given two vectors A and B, the magnitude of the cross product, or vector product, written as AB, 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 AB 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:
The Cross Product Example Chapter 1 Vector Analysis The Cross Product Example Given A = 2ax–3ay+az and B = –4ax–2ay+5az, find AB.
The Cylindrical Coordinate System Chapter 1 Vector Analysis The Cylindrical Coordinate System
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 :
The Cylindrical Coordinate System Chapter 1 Vector Analysis The Cylindrical Coordinate System Dot products of unit vectors in cylindrical and rectangular coordinate systems
The Spherical Coordinate System Chapter 1 Vector Analysis The Spherical Coordinate System
The Spherical Coordinate System Chapter 1 Vector Analysis The Spherical Coordinate System Differential surface units: Differential volume unit :
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
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.
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.