NORTH CAROLINA AGRICULTURAL AND TECHNICAL STATE UNIVERSITY

Course Syllabus-revised Course Information Course Number/Section PHYS 615-01 Course Title Electromagnetic Theory I Term Fall- 14 Days & Times TR- 12:30-1:45 Professor Contact Information Professor Solomon Bililign Office Phone 336-285-2328 Other Phone 336-334-7424 (Lab) Email Adresse Bililign@ncat.edu Office Location Marteena 306/Gibbs 302 Office Hours TR 8-11 am Other Information You can make appointments if you cannot make it during the

office hours Course Pre-requisites, Co-requisites, and/or Other Restrictions Phys 416 or Graduate Standing Liberal use is made of the vector calculus and the methods of solving boundary value problems. Indeed, the course is an excellent vehicle for the presentation and development of these techniques. A course in the Mathematical Methods of Physics would be a distinct advantage, though not an absolute pre-requisite. Course Description This course is an advanced study of electromagnetic phenomena which along with Physics 715 covers: electromagnetic properties of matter; propagation, radiation, and absorption of electromagnetic waves; simple radiating systems, special relativity; covariant electrodynamics; radiation by moving charges. Prerequisites: PHYS 416 or Graduate Standing. Student Learning Objectives/Outcomes (Graduate) The electromagnetic force is one of the four fundamental forces existing in the universe; therefore the theory of electromagnetism is viewed as a cornerstone of physics. The applications of the E&M theory touch every single aspect of our life, from computers and cellular phones to atoms and molecules. The aim of this course is to present the basic concepts and the theoretical foundations of Classical Electrodynamics. Only the non-relativistic theory is presented, the extension to Relativistic Electrodynamics being treated elsewhere. The emphasis here is on the inter-relationship between Electricity and Magnetism, culminating in the development of Maxwell’s Equations. The scope of these equations is enormous: they predict the existence of electromagnetic waves, they describe a whole range of optical phenomena, and they find

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important applications in Physics and Electrical Engineering, e.g. in the theory of optical waveguides. At the conclusion of the course a student must be familiar with: Coulomb’s law -- the electric field – Gauss’s law--the scalar potential – Boundary conditions -- Poisson and Laplace Equations -- Green’s theorem -- Green’s solution to boundary-value problems in electrostatics – electrostatic work and energy – use of the method of images and separation of variables to solve boundary value problems in electrostatics – Use of Legendre polynomials, spherical harmonics and Bessel functions to solve Laplace equation -- Multipole expansion -- electrostatics of macroscopic media -- boundary-value problems with dielectrics – polarization -- electrostatic energy in dielectrics – magnetostatics -- Biot-Savart law -- Ampere’s law – magnetic vector potential -- magnetic field B and magnetic moment -- macroscopic equations for B and H -- methods of solving boundary-value problems in magnetostatics -- Faraday’s law of induction -- energy self- and mutual inductances -- Maxwell’s equations -- gauge transformations -- Green functions for the wave equation -- macroscopic equations for electromagnetism -- Poynting’s theorem and the conservation energy and momentum. Students should be able to apply this theory to other applied areas like nuclear physics, atomic and molecular physics, laser physics, atmospheric scattering etc.

COURSE SCALE LEARNING GOALS

1. Math/physics connection: Students should translate a physical description of a graduate level electromagnetism problem to a mathematical equation necessary to solve it. Be able explain the physical meaning of the formal and/or mathematical formulation of and/or solution to a graduate level electromagnetism problem. ... Achieve physical insight through the mathematics of a problem.

2. Organized knowledge: Be able articulate the big ideas from each chapter, section, and/or lecture, thus indicating that they have organized their content knowledge. They should be able to filter this knowledge to access the information that they need to apply to a particular physical problem.

3. Communication. Be able to justify and explain their thinking and/or approach to a problem or physical situation, in either written or oral form.

4. Problem-solving techniques: Be able to choose and apply the problem-solving technique that is appropriate to a particular problem.

5. Intellectual maturity: Students should accept responsibility for their own learning. They should be aware of what they do and don’t understand about physical phenomena and classes of problem. This is evidenced by asking sophisticated, specific questions; being able to articulate where in a problem they experienced difficulty; and take action to move beyond that difficulty.

6. Maxwell’s Equations. Students should see the various laws in the course as part of the coherent theory of electromagnetism; ie., Maxwell’s equations.

7. Build on Earlier Material. Students should deepen their understanding of Phys 415/416 material. I.e., the course should build on earlier material.

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The following learning objectives are accomplished through this course. Objective 1: Effectively use information technology to find, interpret, evaluate, and use information discerningly. Outcome: Students will demonstrate the ability to use information technology tools to conduct literature survey, and do research Objective 3: Effectively employs critical thinking skills in written and oral communication. Outcome: Students will demonstrate the ability to employ critical thinking in solving problems which are very complicated and mathematically challenging Objective 4: Effectively relate ideas and concepts, as well as modes of inquiry, across disciplines Outcome: Students will demonstrate the ability to relate ideas and concepts from physics to chemistry, atmospheric sciences, geosciences and materials science and engineering Objective 5 : Use analytical thinking skills to evaluate information critically. Outcome: Students will demonstrate the ability to use analytical thinking skills to evaluate the content of the course as it applies to real life problems. Objective 6: Apply multiple modes of inquiry, including quantitative and qualitative analysis, to formulate, describe, evaluate, and solve problems Outcome: Students will demonstrate the ability to apply multiple modes of inquiry, including quantitative analysis, to formulate, describe, evaluate, and solve problems. Objective 7: Apply scientific reasoning skills to model natural, physical, social, and aesthetic phenomena using multiple modes of inquiry: Outcome: Students will develop to use the theory of electrodynamics to model natural and physical phenomena involving interaction of light with matter, cloud formation, chemical reactions in the atmosphere, electrostatic forces in materials etc. Objective 8: Use a wide range of disparate information and knowledge to draw inferences, test hypotheses, and make decisions. Outcome: Students will demonstrate the ability to Use a wide range of disparate information and knowledge to draw inferences, test hypotheses, and make decisions in research be able to apply this theory to other applied areas like nuclear physics, atomic and molecular physics, laser physics etc. Required Textbooks and Materials Required Texts Classical Electrodynamics Third Edition: J. D. Jackson John Wiley & Sons, 1998 ISBN 0-471-30932-X Required Materials NONE Suggested course reference books INTRODUCTION TO ELECTRODYNAMICS (2nd Ed) by David J. Griffith ELECTROMAGNETIC THEORY (4th Ed) by Reitz, Milford and Christy ELECTROMAGNETIC FIELDS by Ronald Wangsness CLASSICAL ELECTRODYNAMICS by Hans C. Ohanian CLASSICAL THEORY OF FIELDS by Landau and Lifshitz, Assignments & Academic Calendar

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Topics, Reading and problems to work on Assignments, Due Dates, Exam Dates (optional: withdrawal dates, holidays, etc.) additional problems will be assigned after every lecture and are due the next class. Lecture # Date Topics: Chapters and sections in Jackson Quizzes 1 8/20 Mathematical Introduction 2 8/25 Overview of EM Quiz 1 3 8/27 1.1-1.5: Coulombs Law, Electric Field, Gauss’s law Quiz 2 4 9/1 1.5-7: Scalar potential, Poisson and Laplace Equations Quiz 3 5 9/3 1-7-1.9: Greens Theorem, Boundary conditions Quiz 4 6 9/8 1.10-1.11-Boundary Value problems with Greens

Function, Electric potential energy, energy density, capacitance

Quiz 5

7 9/10 2.1-2.3-Method of Images Quiz 6 8 9/15 2.4-2.5-More Methods of Images 9/17 Exam I 9 9/22 2.6-2.7:Greens Function for a Sphere, Quiz 7 10 9/24 2.8-2.9- Orthogonal functions, Laplace Equation in

rectangular coordinates Quiz 8

11 9/29 2.9-2.10- Laplace Equation in rectangular coordinates Quiz 9 12 10/1 3.1-3.3-Laplace equation in Spherical Coordinates Quiz 10 13 10/6 3.4-3.7- Laplace equation in Spherical Coordinates Quiz 11 14 10/8 3.7-3.8- Laplace equation in Cylindrical Coordinates Quiz 12 10/15 Exam II 15 10/20 3.9-3.10 – Expansion of Greens Function in Spherical

Coordinates

16 10/22 4.1-4.2: Multipole expansion Quiz 13 17 10/27 4.3-4.4- Boundary Value problems with Dielectrics Quiz 14 18 10/29 4.7-Electrostatic Energy in Dielectric Media Quiz 15 19 11/3 5.1-5-3-Boit Savart Law and Amperes Law Quiz 16 20 11/5 5.4-5.5: Vector Potential Quiz 17 21 11/10 5.6 -5.7-Magnetic Moments Quiz 18 22 11/12 5.8-5.9: Boundary Condition for B and H, Boundary

Value Problems in Magnetostatics Quiz 19

23 11/17 5.10-5.12-Magnetized sphere, magnetized sphere in external fields

Quiz 20

24 11/19 5.15-16-Farady’s Law, Energy in Magnetic Fields, self and mutual inductance

Quiz 21

11/24 Exam III 26 12/1 6.1-6.3-Maxwells Equations, Vector and scalar

potential, Gauge transformation Quiz 22

27 12/3 6.4,6,7-Green Function for Wave Equation, Poynting Theorem

FINAL EXAM

Grading Policy Homework: Quizzes daily- Part a in the quiz is to test if you have read the material

before coming to class. It is easy and usually multiple-choice conceptual

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questions that will be 10 minutes long. Part b is to be done at the end of the class. You will start working on it and should be turned in by the end of the day. These are problems based on the lecture of the day. You are encouraged to solve the problems in the book. Solutions are available on line so you can practice and learn how to solve them..

Exams: There will be three exams. The exams schedules will be announced as the course

proceeds. Grading: Home works +1 quiz 40% Four Exams 15% each 60% Grade Scale

Course Policies Make-up exams Make up exams are given only with valid excuses Extra Credit Attendance of all departmental seminars is a requirement and students will earn extra credit. Late Work No late work is accepted Class Attendance A student is not allowed to miss a class without reasonable excuse and justification. Classroom Citizenship Civility and good conduct is expected. Coming on time and turning off all cell phones, and waiting until the class ends are expected of each student. Technical Support

If you experience any problems with your A&T account you may call Aggie Tech Support (formerly Help Desk) at 336.334.7195.

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Field Trip Policies / Off-Campus Instruction and Course Activities Student Affairs website http://www.ncat.edu/~staffair/; Student Handbook: http://www.ncat.edu/~deanofst/Handbook.htm; Student Travel Procedures and Student Travel Activity Waiver http://businessfinance.ncat.edu/policies%20and%20procedures%20index.htm

Off-campus, out-of-state, and foreign instruction and activities are subject to state law and University policies and procedures regarding travel and risk-related activities. Information regarding these rules and regulations may be found at the website address: Student Travel Procedures and Student Travel Activity Waiver http://businessfinance.ncat.edu/policies%20and%20procedures%20index.htm. Additional information is available from the office of Student Affairs, please check the website at http://www.ncat.edu/~staffair/. Below is a description of any travel and/or risk-related activity associated with this course.

Other Policies (e.g., copyright guidelines, confidentiality, etc.) Student Handbook: http://www.ncat.edu/~deanofst/Handbook.htm Family Educational Rights and Privacy Act http://www.ncat.edu/~registra/ferpa_info/index.htm Student Conduct & Discipline North Carolina A&T State University has rules and regulations that govern student conduct and discipline meant to ensure the orderly and efficient conduct of the educational enterprise. It is the responsibility of each student to be knowledgeable about these rules and regulations. Please consult the undergraduate http://www.ncat.edu/~acdaffrs/Bulletin_2008-2010/2008-2010_Undergraduate_Bulletin.pdf and graduate bulletins: 2008-2010 Graduate Catalog.doc http://www.ncat.edu/~gradsch/cstudents.html and student handbook http://www.ncat.edu/~deanofst/Handbook.htm for detailed information about specific policies such as academic dishonesty, cell phones, change of grade, disability services, disruptive behavior, general class attendance, grade appeal, incomplete grades, make up work, student grievance procedures, withdrawal, etc. Compliance with the Americans with Disabilities Act North Carolina A&T State University is committed to complying with the Americans with Disabilities Act of 1990 and Section 504 of the Rehabilitation Act of 1973 by providing equal access to the programs, services and benefits to qualified students with disabilities. All reasonable efforts will be made to accommodate the needs of students with documented disabilities. If you have a disability that requires an accommodation during the semester, please REGISTER with the Office of Veterans and Disability Service (OVDSS) located on campus in Murphy Hall (334-7765). Make sure that you notify OVDSS of any disability accommodation requests prior to the start of classes or within the first two weeks of classes.

These descriptions and timelines are subject to change at the discretion of the Professor. 01.27.09 – Submitted to Faculty Senate by LEW