ECE 305 Electromagnetic Theory Qiliang Li Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, VA Lecture: Chapter 1 – 3 Fall

Syllabus Time and location: Tuesday 7:20 pm – 10:00 pm, Art and Design Building 2003 Instructor: Qiliang Li, Engineering Bldg, Room 3250, Tel , Office Hours: Friday 1:30 PM – 3:30 pm; other times by appointment. Graduate Teaching Assistant: Abbas Arab Course website: 2

Syllabus COURSE DESCRIPTION This course is to provide the essential fundamental knowledge and concepts on electromagnetic: electrostatics, electric field in material space, magnetostatics, magnetic Fields in material, Maxwell's equations and Electromagnetic Waves. 3

Syllabus Required Textbook: “Elements of Electromagnetics” Matthew O. Sadiku, 6th Edition, Oxford University Press, USA, ISBN REFERENCE LIST – “Introduction to Electrodynamics” by David J. Griffiths” 3rd Edition, Benjamin Cummings, – “Div, Grad, Curl, and All That: An Informal Text on Vector Calculus” 4th Edition, H. M. Schey 4

Syllabus COURSE OUTLINE 1. Coordinate System and Vector calculus 2. Electrostatic Fields 3. Electric Fields in Material Space 4. Electrostatic Boundary-Value Problem 5. Magnetostatic Fields 6. Magnetic Forces, Materials and Devices 7. Maxwell’s Equations 8. Electromagnetic Wave 9. Transmission Lines and Waveguides 10. Antennas 5

Syllabus GRADING Homework30% Midterm Exam#120% Midterm Exam#125% Final Exam25% QuizExtra credits: 10 pts The dates of the Midterm exam will be announced in class at least two weeks before the exam, and will depend on the course progress. 6

History of Electromagnetics Ancient understanding of electricity – Thales of Miletus, 600 BC: rubbing fur on amber to attract light objects – Book of the Devil Valley Master, 400 BC: the lodestone attracts iron – Chinese compass navigation, 200 BC. Electromagnetic theory in 18 th -19 th centuries – Coulomb: Charge - force – Ampere: relationship between E and M – Faraday: – Maxwell: EM equations 7

Electromagnetics and Gravity Albert Einstein kept a picture of Faraday on his study wall, alongside pictures of Isaac Newton and James Clerk Maxwell. 8

Electromagnetics and Gravity ( ) Newton’s law: physical interactions at infinite speed Einstein: gravitational waves propagate at light speed Einstein: gravitational waves are ripples in the curvature of spacetime. 9

Electromagnetics and Gravity ( ) For four components Structure (profile) of EM fields are determined by distribution of charge-related matters 10

Electromagnetics and Gravity ( ) Structure of spacetime （ R: curvature ） distribution of matters Structure of spacetime is determined by distribution of matters 11

EM Theory: the fruit of wisdom 12

Chapter 1-3 Coordinate systems and Vectors Def.: An orthogonal system is on in which the coordinates are mutually perpendicular. §1.1 Cartesian Coordinates (x, y, z) 13 A set of unit vectors

§1.1 Cartesian Coordinates Def: Vector - a quantity that has both magnitude and direction Def: Scalar – a quantity that has only magnitude Def: field - a function that specifies a particular quantity everywhere in a region 14

§1.2 Vector Calculus 15

§1.2 Vector Calculus 16

§1.2 Vector Calculus 17

§1.2 Vector Calculus 18 Distance vector r PQ

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23 a vector A in cylindrical Coordinate system

Cylindrical Coordinates … Magnitude: The axis: orthogonal to each other 24

Cylindrical Coordinates … 25

Cylindrical Coordinates … 26 Or

Coordinate transformation 27 Or

Coordinate transformation 28 From a general equation:

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Spherical coordinates … 30 Magnitude:

Spherical coordinates … 31

Spherical coordinates … 32

Coordinate transform 33 Or

Coordinate transform 34

Coordinate transform 35 Or

Example

(continue ex. 2.1) 37 At point P (continue by yourself)

38 (continue ex. 2.1) Similarly for spherical coordinates At point P (continue by yourself)