North Carolina Agricultural and Technical

NORTH CAROLINA AGRICULTURAL AND TECHNICAL STATE UNIVERSITY

Course Syllabus

Course Information Course Number/Section PHYS 416-01 Course Title Electromagnetic Theory I

Term Spring 2015 Days & Times TR- 11 am-12:15 pm Marteena 318

Professor Contact Information Professor Solomon Bililign Office Phone 336-285-2328 Other Phone 336-334-7424 (Lab) Email Adresse [email protected] Office Location Marteena 306/Gibbs 302 Office Hours W 2-5 PM 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 415 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 is the second semester of our two-semester sequence of junior-level classical electromagnetism. It uses the tools of vector calculus to analyze the dynamic properties of electromagnetic fields. The topics we will cover includes the study of electric fields and potentials, electric current and magnetic fields, in material media, solutions to Maxwell's equations, plane waves, polarization, propagation in media, Prerequisites: PHYS 415 .

Student Learning Objectives/Outcomes 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 electricity and magnetism. The emphasis here is on the inter-relationship between Electricity and Magnetism. The scope of these equations is enormous: they predict the existence 2 of electromagnetic waves, they describe a whole range of optical phenomena, and they find 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: Electrostatics of macroscopic media -- boundary-value problems with dielectrics – polarization -- electrostatic energy in dielectrics – magnetostatics -- Macroscopic equations for B and H Faraday’s law of induction -- energy self- and mutual inductances solve Maxwell’s equations and the wave equation and understand the properties and propagation of electromagnetic waves, wave guides. Students should be able to apply this theory to other applied areas like nuclear physics, atomic and molecular physics, laser physics, atmospheric scattering and optics etc.

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, 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, wave guides, antenna etc.

Required Textbooks and Materials Required Texts Introduction to electromagnetism David Griffiths

Required Materials NONE

Suggested course reference books ELECTROMAGNETIC THEORY (4th Ed) by Reitz, Milford and Christy ELECTROMAGNETIC FIELDS by Ronald Wangsness

Course Syllabus Page 2 3

Assignments & Academic Calendar Topics, Reading and problems to work on Assignments Lecture Date Topic Griffiths/ section and assignment problems 1 1/13/15 Review of Electrostatics 2 1/15/15 Polarization-Dielectrics, induced dipoles, Chapter 4.1 alignment of polar molecules Problems 4.2,4.4,4.9 3 1/20/15 The Field of Polarized object-Bound Chapter 4.2 charges, physical interpretation, field Problems 4.10, 4.12 inside a dielectric 4 1/22/15 The Electric Displacement Vector- Chapter 4.3 Gauss’s law in the presence of dielectrics, Problems: 4.16 boundary conditions 5 1/27/15 Linear Dielectrics: Susceptibility, Chapter 4.4. permittivity, Boundary Value problems Problems: 4.18, 4.20, with Linear Dielectrics 4.24 1/29/15 Exam 1- Chapter 4 6 2/3/15 Review of magnetism 7 2/5/15 Magnetization: Diamagnetism, Chapter 6.1 paramagnets, ferromagnetism, torque and Problems: 6.2, 6.3 force on magnetic dipoles, effect of magnetic fields on atomic orbital’s 8 2/10/15 The Field of a magnetized Object: Chapter 6.2 Boundary currents, physical interpretation Problems : 6.7, 6.8 magnetic field inside matter 9 2/17/15 The Auxiliary Field H-Ampere’s law in Chapter 6.3 Magnetized Materials, Boundary Problems : 6.12, 6.13 conditions 10 2/19/15 Linear and nonlinear media-Magnetic Chapter 6.4 Susceptibility and permeability, Problems: 6.16, 6.17 Ferromagnetism 11 2/24/15 Electromotive Force-Ohms law, Chapter 7.1 electromotive force, motional emf. Problems: 7.1, 7.2, 7.7, 7.8, 7.9 2/26/15 Exam 2- Chapter 6 12 3/10/15 Electromagnetic Induction-Faraday’s Chapter 7.2.1, 7.2.2 Law, The induced electric field Problems: 7.12, 7.13, 7.15 13 3/12/15 Electromagnetic Induction-Inductance, Chapter 7.2.3, Problems:7.22,7.23, 7.26 14 3/17/15 Electromagnetic Induction-Energy in Chapter 7.2.4 Magnetic fields Problems:7.28, 7.29, 7.30 15 3/19/15 Maxwell’s Equations- Chapter 7.3.1-7.3.3 Problems: 7.34 16 3/24/15 Maxwell’s Equations-Maxwell’s Chapter 7.3.4-7.3.6 equations in Matter, Boundary conditions Problems: 7.43 17 3/26/15 Electromagnetic waves: waves in one Chapter 9.1.1-9.1.2 dimension, wave equation, sinusoidal Problems: 9.2, 9.3

waves 3/31/15 Exam 3- Chapter 7 18 4/2/15 Electromagnetic Waves: Boundary Chapter 9.1.3-9.1.4 conditions, Polarization Problems: 9.6, 9.8 19 4/7/15 Electromagnetic waves: The wave Chapter 9.2.1-9.2.3 equation for E and B, Monochromatic Problems:9.9,9.10 plane waves. Energy and momentum 20 4/9/15 Electromagnetic waves: Propagation in Chapter 9.3.1-9.3.2 linear media, Reflection and transmission, Problems:9.14,9.15 at Normal incidence 21 4/14/15 Electromagnetic Waves: Reflection and Chapter 9.3.3 transmission, at oblique incidence Problems:9.16 22 4/16/15 Electromagnetic waves: Electromagnetic Chapter 9.4.1-9.4.2 waves in conductors, Reflection at a Problems:9.19,9.21, conducting sphere 9.22 23 4/21/15 Electromagnetic waves: Frequency Chapter 9.4.3 dependence of permeability Problems:9.23,9.25 24 4/23/15 Electromagnetic waves: Wave guides Chapter 9.5.2 Problems:9.29,9.29 25 4/28/15 Electromagnetic waves: Waves in Chapter 9.5.2-9.5.3 Rectangular wave guides, Coaxial Problems:9.32 transmission line

26 4/30/15 Review Final Exam: Chapter 9

Grading Policy Homework: Assigned homework problems for each day are listed and collected at the next cla ss following the assignment. You are urged to try to solve the problems before w e solve them in class. Homework carries a major weight in the evaluation. Soluti ons will be provided after the homework is collected. No homework is accepted a fter the solutions are distributed. Last day to submit home works is 5PM of the Fr iday of the week they are assigned.

You can work collaboratively and discuss homework with your peers; howev er the material you turn in should be your own work. I will file a report of A cademic Integrity Violations for any student who turns in homework that is copied from another source or cheats in any other manner. The student will get a zero for the homework.

Quizzes: Daily or once a week, you will have a quiz based on the material to be covered. This quiz could be at the beginning of the class or towards the end. You are expected to read the section for the class before coming to class. Relevant Y-tube videos or power point lecture notes will be posted on blackboard before each lecture Exams: There will be three exams and a final. The exams schedules are announced in the outline

Grading: Home works + quizzes 40% Three Exams and Final 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. Enrollment in the class means that you agree to abide by the expectations of North Carolina A&T State University about academic integrity. For specific information refer to your Student Handbook. Also, refer to the most current Undergraduate Bulletin for the academic dishonesty policy. The North Carolina A&T State University’s Academic Honor Code will be enforced.

Your responsibilities in the area of honor include, but are not limited to, avoidance of cheating, plagiarism and improper or illegal use of technology. Your presentations, assignments, and quizzes are expected to be your own work. Any questions about these should be directed to the professor. It is permissible to request assistance from a librarian when doing database research as long as the selection and organization of the research for the presentation is in your own work.

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.

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. I f 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

Course Syllabus Page 6