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PHYS-AD 301 Electricity and Magnetism Credits: 4 Prerequisites: Course ID Title SCIEN-AD 101,102 Foundations of Science 1: Energy and Matter SCIEN-AD 103,104 Foundations of Science 2: Forces and Interactions SCIEN-AD 111, 112 Foundations of Science 5: Propagating Change SCIEN-AD 113,114 Foundations of Science 6: Oscillations and Uncertainties MATH-AD 112 Multivariable Calculus SCIEN-AD 105,106,109 Foundations of Science 3: Systems in Flux SCIEN-AD 107,108,110 Foundations of Science 4: Form and Function This course counts toward the following NYUAD degree requirements: • Majors > Physics Course Description: Electromagnetism is one of the four fundamental forces of nature, and is at the basis of almost any kind of device that we use on a daily basis. The course introduces Maxwell’s equations and their applications to physical problems. Topics include electrostatics, magnetostatics, the solution of the Laplace and Poisson equations, dielectrics and magnetic materials, electromagnetic waves and radiation, Fresnel equations, transmission lines, and wave guides. Students in the NYUNY Physics Dept: This course is equivalent to PHYS-UA 131 Electricity and Magnetism. Expanded Course Description: The great unification of electrical, magnetic, and optical phenomena by James Maxwell in 1861 based on 4 differential equations was one of the most important events of the 19th century. Not only did this allow the development of modern electronics and radio communication, but was also the basis for the theory of special relativity and the transformation of our concepts of space and time. Here we will learn how to apply the tools of multivariate calculus to analyze electromagnetic (EM) phenomena and develop a deep understanding of these four core equations of physics. EM forces are ultimately responsible for countless phenomena in the human-scale world and elsewhere in the Universe. Learning Outcomes: • After successful completion of this course, students will be able to: 1) Understand electric and magnetic fields in matter 2) Apply Maxwell’s equations to various physical problems 3) Calculate EM wave propagation 4) Understand radiation, relativistic effects and the processes that produce EM waves from astrophysical objects in space Teaching Methodologies: • Since you had an overview of classical electricity and magnetism in your Foundations of Science courses, I will assume you are somewhat familiar with the basics of electric and magnetic fields, currents, circuit theory and Maxwell's equations. You will rely on the physical intuition you have already begun to develop to keep from becoming lost among the formulae. I place importance on learning to visualize what will happen before you start writing down equations. Note that the mathematical formalisms derived in PHYS-AD 100 Electromagnetism and Special Relativity will be complementary to this course. While I do expect a significant amount of independent effort to be made on all problems, I also hope that if/when you get stuck, you will not hesitate to come to me and ask questions. Graded Activities: Homeworks 50% 2 Midterm exams 25% Final Exam 25% Required Bookstore Texts • Introduction to Electrodynamics (978-1-29202-142-3) Attendance: The focus of this class will be on problem solving, and much of the time in class will be spent working on problems as a class / in groups. It is therefore important to attend class. Grades will be based on 1/2 homework, and 1/2 exams. Homework sets will generally be assigned on Wednesday and due the following Wednesday. There will be 3 exams: 2 midterms each worth 1/8 of the grade and a one comprehensive final worth 1/4. Academic Integrity: As set forth in NYU Abu Dhabi's Academic Integrity Policy, the relationship between students and faculty at NYU Abu Dhabi is defined by a shared commitment to academic excellence and is grounded in an expectation of fairness, honesty, and respect, which are essential to maintaining the integrity of the community. Every student who enrolls and everyone who accepts an appointment as a member of the faculty or staff at NYU Abu Dhabi agrees to abide by the expectation of academic honesty The full policies and procedures relating to Academic Integrity may be found on the NYUAD Student Portal: https://students.nyuad.nyu.edu/campus-life/studentpolicies/community-standards-policies/academic-integrity/ Day-by-Day Schedule: Date Topic Reading Wed 27th Jan Vectors and Electric Field 1.3-1.4 2.1 Mon 1st Feb Coulomb law and charge distribution 1.3 1.4 2.1 Wed 3rd Feb Field Lines Gauss Law 1.2, 1.5, 2.2, 2.3 Mon 8th Feb Electric Potential, Div/grad/curl 1.2, 1.5, 2.2, 2.3 Wed 10th Feb Potential Energy of Charge distribution 2.5, 2.5, 3.1 Mon 15th Feb Conductors, laplace equation 2.5, 2.5, 3.1 Wed 17th Feb Methods of images 3.2, 3.3, 3.4 Mon 22nd Feb Separation of variables, Multipole expansion 3.2, 3.3, 3.4 Wed 24th Feb Midterm 1 - Electrostatic in Vacuum Mon 29th Feb Polarization 4.1, 4.2, 4.3, 4.4 Wed 2nd Mar Dielectrics 4.1, 4.2, 4.3, 4.4 Mon 7th Mar Magnetostatic 5.1, 5.2 Wed 9th Mar Lorentz and Biot-Savart Laws 5.1, 5.2 Other Mon 14th Mar Ampere Law, 5.3, 5.3 Mon 28th Mar Magnetic Vector Potential 5.3, 5.4 Wed 30th Mar Magnetization: Diamagnetics 6.1, 6.2, 6.3, 6.4 Mon 4th Apr Para/Ferromagnets 6.1, 6.2, 6.3, 6.4 Wed 6th Apr Midterm 2 - Magnetostatic Mon 11th Apr EMF and Induction 7.1, 7.2 Wed 13th Apr Maxwell equations 7.3 Mon 18th Apr Conservation of energy and momentum 8.1, 8.2, 8.3 Wed 20th Apr EM waves in vacuum 9.2 Mon 25th Apr EM waves in matter 9.3, 9.5 Wed 27th Apr Guided waves 9.5 Mon 2nd May Astrophysical sourcers of EM 10 Wed 4th May 11 Astrophysical sourcers of EM