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ELEN 3371 Electromagnetics Fall 2008 1 Lecture 1: Introduction Instructor: Dr. Gleb V. Tcheslavski Contact: gleb@lamar.edugleb@lamar.edu Office Hours: Cherry 2030 Class web site: www.ee.lamar.edu/gleb/em/I ndex.htm www.ee.lamar.edu/gleb/em/I ndex.htm

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ELEN 3371 Electromagnetics Fall 2008 2 Pre-requirements MATH 3328 Linear Algebra; MATH 3301 Ordinary Differential Equations; ELEN 2311 Circuits I; PHYS 2426 Calculus Based Physics II. DC and AC Circuits; Calculus-Based Physics in Electricity and Magnetism; Analytic Geometry and Calculus II including Vector Analysis; Calculus III including Partial Derivatives, Double and Triple Integrals, Vector Fields, Stoke's Theorem, and Vector Calculus; Differential Equations; Linear Algebra. Classes: Topics:

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ELEN 3371 Electromagnetics Fall 2008 3 Textbooks Robert E. Collin, Antennas and Radio-wave Propagation, Mcgraw-Hill College, 4th edition, ISBN 0-0701-1808-6. Karl E. Lonngren and Sava V. Savov, Fundamentals of Electromagnetics with MATLAB, SciTech Publishing, Inc., 2005, ISBN 1-891121-38-3. Required: Recommended: Elements of Electromagnetics, Fifth Edition, Matthew N.O. Sadiku, Oxford University Press, Inc., 2010, ISBN 978-0- 19-538775-9.

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ELEN 3371 Electromagnetics Fall 2008 4 Class structure and your grades Five to ten homeworks, two exams, and the final exam. Exams are closed books/notes. Homeworks and exams are covered by the Academic Honor Code Attendance Policy: Exams attendance is mandatory with exemptions of individual or family emergencies, health conditions etc. Valid documentation will be required. You are required to attend all lectures! Your attendance may affect your final grade. HomeworkExam 1Exam 2Final exam 20% 25%35% Tentative grading weights: NO late homework will be accepted!

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ELEN 3371 Electromagnetics Fall 2008 5 Styles, notations, legends… 1. Colors: Normal text and formulas Something more important (imho) Important formulas and results Very Important Formulas Miscellaneous 2. Equations notations: (2.17.3) Lecture # Slide # Formula # 4. Matlab logo: indicates the corresponding Matlab function 3. [xx] next to the formula indicates units.

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ELEN 3371 Electromagnetics Fall 2008 6 What’s this course about? We will study electric and magnetic fields. We review STATICS (zero or low frequency). and study DYNAMICS including Maxwell’s and Helmholtz equations, wave propagations, antennas, etc. The basic sources of electromagnetic (electrical) forces are stationary and moving electric charges, which exert forces on other stationary and moving electric charges. To study these forces, the concept of force fields has been devised. –When charges are stationary, the force field is an electric (electrostatic) field. –When charges are moving with a constant velocity, the force field is a magnetic (magnetostatic) field. –Accelerating charges produce electromagnetic fields.

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ELEN 3371 Electromagnetics Fall 2008 7 Statics Definition: f = 0 [Hz] The electromagnetic field splits into two independent parts: Electrostatics: (q, E) Magnetostatics: (I, B) The static approximation is valid when the dimension of the circuit is small compared to the electrical wavelength. Static charge Constant current

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ELEN 3371 Electromagnetics Fall 2008 8 Concepts of frequency/wavelength Example: a circuit working at 60 Hz. 0 = c / f - wavelength in vacuum Most circuits fall into the static-approximation category at 60 Hz. c = 2.99792458 10 8 m/s f = 60 Hz This gives: 0 = 4.9965 10 6 m = 4,996.5 km

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ELEN 3371 Electromagnetics Fall 2008 9 Some history Charge was discovered by the Ancient Greeks (about 600BC) who found that rubbing fur on various substances, such as amber, would build up an electric charge imbalance. The Greeks noted that the charged amber buttons could attract light objects such as hair. The Greeks also noted that if they rubbed the amber for long enough, they could even get a spark to jump. The word electricity derives from ηλεκτρον, the Greek word for amber.

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ELEN 3371 Electromagnetics Fall 2008 10 Some history (cont) Two glass rods rubbed with silk and placed near one another were observed to repel each other. On the other hand, if a resin (plastic) rod rubbed with fur is placed near one of the glass rods, the force was attractive. Benjamin Franklin (mid 1700’s) is credited with naming electrical charge; that appearing on the glass rod was designated positive and that on the resin (plastic) rod, negative. Franklin was well known for his many quotations and his experiments with electricity

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ELEN 3371 Electromagnetics Fall 2008 11 Folks contributed to the research on electricity Luigi Galvani (1737–1798), Alessandro Volta (1745-1827), Michael Faraday (1791–1867), André-Marie Ampère (1775–1836), Georg Simon Ohm (1789-1854). Nikola Tesla, Thomas Edison, George Westinghouse, Werner von Siemens, Alexander Graham Bell William Thomson (lord Kelvin) … Your picture here?

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