SPRING 2014 Department of Physics & Astronomy, UGA PHYS 4202/6202 Electricity and Magnetism II (as of Jan. 07/2014)

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1 SPRING 2014 Department of Physics & Astronomy, UGA PHYS 4202/6202 Electricity and Magnetism II (as of Jan. 07/2014) The course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary. Course Description: Topics include Maxwell's equations, electromagnetic radiation, the theory of electromagnetic fields in matter, and Einstein's special theory of relativity. Oasis Title: ELEC & MAGNET II Prerequisite: PHYS 4201/6201 Grading System: A-F (Traditional) Instructor: Dr. Andrei Galiautdinov Office: ag@physast.uga.edu Sections: :30p - 01:45p TR Office hours: 01:45p - 02:45p TR (HMWK submission by appointment only; see below) Main text: Your lecture notes. Useful text: D.J. Griffiths, Introduction to Electrodynamics, 4 th Edition (Pearson, 2013). Academic Honesty: As a University of Georgia student, you have agreed to abide by the University s academic honesty policy, A Culture of Honesty, and the Student Honor Code. All academic work must meet the standards described in A Culture of Honesty found at: Lack of knowledge of the academic honesty policy is not a reasonable explanation for a violation. Questions related to course assignments and the academic honesty policy should be directed to the instructor. Grading policy: PARTS 1 & 2: 10% (grad students only) - 2 PROBLEMS PROPOSED FOR HMWK 1: Neatly typed and submitted electronically by Tuesday, Feb. 04 It is up to you to decide what sources to use and what problems to propose, as long as the problems are not embarrassingly simple. You are NOT allowed to use Griffiths. Sources must be cited. 20% (all students) - HMWK 1 (): Neatly written detailed solutions to HMWK 1 must be submitted and discussed with me Thursday, Feb. 18 Thursday, Mar. 06 (by appointment only) PART 3: 10% (grad students only) - 2 PROBLEMS PROPOSED FOR HMWK 2: Neatly typed and submitted electronically by Tuesday, Apr % (all students) - HMWK 2 (): Neatly written detailed solutions to HMWK 2 must be submitted and discussed with me Tuesday, Apr. 15 Thursday, Apr. 24 (by appointment only) PART 4: 20% (undergrad students only) - 2 TOPICS PROPOSED TO BE DISCUSSED IN PART 4 OF THE COURSE: Neatly typed and submitted electronically by Tuesday, Mar. 06. FINAL EXAM: Attendance: 40% - FINAL EXAM: No partial credit. To get 40%, you will have to correctly solve 4 problems (+ additional problems for absences), as shown in the Final exam table below. If everything goes well the Final Exam Problems will be based on the HMWK Mandatory

2 Homework: HMWK 1 will be assigned on Tue., Feb. 11 HMWK 2 will be assigned on Tue., Apr. 08 Homework rules: Collaboration while solving OK; submission & discussion individual Midterm exams: None Final exam: Mandatory Final exam rules: - Closed notes, closed book - A simple (non-graphing, non-symbolic, non-programmable) scientific calculator - No other electronic device(s) permitted - Must work individually How to do well in this 1. Read about the material to be covered in class before coming to lecture. class: 2. Attend every lecture. 3. Ask questions. 4. Participate in discussions. 5. Re-read (or better re-work) your notes after class. 6. Do assigned homework. 7. Use a buddy system: find a friend with whom to discuss physics. 8. Think about physics on a regular basis. 9. Think about physics as much as possible. 10. Think about physics at all times. 11. REMEMBER: If you decide to stay in academia, you will be competing against fanatics; so prepare early. 12. If everything fails, consider dropping the class before the deadline and retaking it at a later time. NOTE: In physics, learning can be frustrating and nonlinear. Often you have to work for a long time (many days and even weeks) without feeling that you are making much progress. Then, suddenly, everything falls into place and it all makes sense. But until the click, you can t be sure how much time you need to get it and it s difficult to plan As you solve a physics problem, stop and ask yourself: What (exactly) are you doing? Why are you doing it? How does it help you? FINAL EXAM TABLE Absences Number of problems (out of 8) to be correctly solved on the FINAL EXAM in order to get: 0% 10% 20% 30% 40% F D (HMWK) C (HMWK + 1 final problem) YOUR GRADE IN THIS CLASS: B (HMWK + 2 final problems) A- (HMWK + 3 final problems) A (HMWK + 3 final problems) <55 [55 65) [65 75) [75 85) [85 90) [90 100] Assuming perfect HMWK score & perfect attendance. Here, HMWK means EVERYTHING you were supposed to do prior to taking the Final Exam.

3 Spring 2014 Schedule Week Day Date Reading Topic Notes 1 M Jan. 06 PART 1: MAGNETIC FIELDS IN THE PRESENCE OF MATTER 2 T Jan. 07 W Jan. 08 R Jan. 09 p F Jan. 10 M Jan. 13 T Jan ED: Classical electrodynamics overview ED: Operational definition of electric & magnetic fields ED: Maxwell s equations in local & integral form (and brief discussion of where they come from) ED: Time-independent situation (electrostatics, magnetostatics) ED: The meaning of current density j ED: (Local) charge conservation & continuity equation MS: Steady currents confined to finite volume MS: Magnetic vector potential A MS: Multipole expansion of the vector potential (up to dipole only; my approach to this topic will essentially be based on working out Prob. #5.38 (p. 256 dipole moment of volume current j), which is more general) MS: Multipole expansion of the vector potential (cont.) MS: Magnetic dipole moment MS: Magnetic dipole moment of a planar loop with current Form. (5.85), (5.86) (p. 253 A and m of loop with current) 3 W Jan. 15 MS: Magnetic field of a dipole at large r MS: Application: magnetic field of a solenoid with current Jan. 16 MS: B-field of an arbitrary j averaged over a spherical volume V R (essentially, working out Prob. #5.59 (p. 263 average B-field, over a sphere, due to steady j inside)) F Jan. 17 M Jan. 20 MLK Day T Jan The following 3 topics will be discussed only briefly: MS: (Planar) loop with current in an external magnetic field: torque, potential energy, force (brief discussion) MS: Orbital & spin magnetic moments of atoms & molecules; behavior in an external magnetic field (brief discussion) MS: Dia-, para-, ferromagnetics: qualitative discussion W Jan. 22 R Jan MS: Dia-, para-, ferromagnetics: DEMOS MM: Magnetization MM: The field outside of a magnetized object (bound currents; physical interpretation of bound currents) MM: The field inside matter (hand-waving discussion why Formula (6.11) is OK for field inside) F Jan. 24 M Jan. 27 T Jan MM: Ampere s law in magnetized materials Ex. #6.2 (p. 280 H-field of infinitely long copper rod with uniform I) MM: Operational definition of B-field inside matter Prob. #6.13 (p. 282 B-field in various cavities)

4 MM: Boundary conditions for B- and H-fields W Jan. 29 R Jan MM: Dia-, para-, ferromagnetics Phenomenological Theory (magnetic susceptibility & permeability) F Jan. 31 M Feb. 03 T Feb W Feb. 05 R Feb PART 2: MAXWELL S EQUATIONS ED: Faraday s experiments (Faraday, 1831): DEMOS ED: Induced currents, Lenz Rule (Lenz, 1834) ED: Electromotive force, induced emf, Faraday s Law, motional emf, Ohm s Law, Joule s Law (very brief discussion I am bypassing a rigorous mathematical treatment of these subjects in favor of the electromagnetic induction per se) ED: Electromagnetic induction (intro); a remark on the quasi-static approximation 2 problems proposal deadline for HMWK 1 (grad students only) ED: Electromagnetic induction (cont.) ED: The induced electric field Ex. #7.7 (p. 317 Induced E-field due to a uniform time-dependent B(t)-field) F Feb. 07 M Feb. 10 T Feb ED: Displacement current (Maxwell, 1864) ED: Maxwell s Equations W Feb. 12 R Feb ED: Maxwell s Equations (cont.) physical meaning; completeness; boundary value problems, etc. F Feb. 14 HMWK 1 (assigned) M Feb. 17 T Feb CL: Conservation Laws in the presence of electromagnetic fields HMWK 1 BEGINS W Feb. 19 R Feb. 20 CL: Electromagnetic energy in various situations F Feb. 21 M Feb. 24 T Feb. 25 CL: Electromagnetic energy in various situations (cont.) W Feb. 26 R Feb. 27 PART 3: ELECTROMAGNETIC RADIATION (from slowly moving sources) EMR: Electromagnetic potentials EMR: Lorentz gauge EMR: Wave equation F Feb. 28 M Mar. 03 T Mar. 04 EMR: Plane waves oscillating planar distribution of charges W Mar. 05 R Mar. 06 EMR: Spherical waves oscillating electric point dipole: - Plane vs. spherical waves - Charge density of a point dipole - Potentials of an oscillating dipole - Wave zone fields of an oscillating dipole - Poynting vector of an oscillating dipole - Summary oscillating dipole HMWK 1 ENDS F Mar topics proposal deadline For PART 4 (undergrad students only)

5 M Mar. 10 T Mar. 11 W Mar. 12 SPRING BREAK R Mar. 13 F Mar. 14 M Mar. 17 T Mar. 18 EMR: Spherical waves oscillating electric point dipole (cont.) W Mar. 19 R Mar. 20 Withdrawal Deadline F Mar. 21 M Mar. 24 EMR: Spherical waves oscillating electric point dipole (cont.) PART 4: TBA T Mar. 25 TBA 13 W Mar. 26 R Mar. 27 F Mar. 28 M Mar. 31 T Apr problems proposal deadline for HMWK 2 (grad students only) W Apr. 02 R Apr. 03 F Apr. 04 M Apr T Apr. 08 HMWK 2 (assigned) W Apr. 09 R Apr. 10 F Apr. 11 M Apr T Apr. 15 HMWK 2 BEGINS W Apr. 16 R Apr. 17 F Apr. 18 M Apr T Apr. 22 W Apr. 23 R Apr. 24 HMWK 2 ENDS F Apr. 25 M Apr T Apr. 29 W Apr. 30 R May. 01 FINAL EXAM: 12:00pm 3:00pm F May M May. 05 T May. 06 W May. 07 R May. 08 F May M May. 12 Grades due (5 PM)

PHYS 1112: Introductory Physics-Electricity and Magnetism, Optics, Modern Physics

FALL 2012 Department of Physics & Astronomy, University of Georgia PHYS 1112: Introductory Physics-Electricity and Magnetism, Optics, Modern Physics The course syllabus is a general plan for the course;