Fulvio Melia - 322

Teaching Fall 2023: Electricity and Magnetism II
(Physics 332)



INSTRUCTOR: Professor Fulvio Melia

OFFICE HOURS: MWF 11:00 am - 12:00 noon in PAS 439 and most other times, but call 977-8269 or e-mail (fmelia@email.arizona.edu) first to make sure I'm in

LECTURES: MWF, 10:00 am - 10:50 am in Edu 240

HOMEWORK PROBLEMS:
Homework # -1 (due M September 11)
Homework # 0 (due F September 22)
Homework # 1 (due M October 9)
Homework # 2 (due M October 16)
Homework # 3 (due M October 30)
Homework # 4 (due W November 8)
Homework # 5 (due W November 22)
Homework # 6 (due F December 1)
Homework # 7 (due W December 6)
HOMEWORK SOLUTIONS:
Solutions # -1
Solutions # 0
Solutions # 1
Solutions # 2
Solutions # 3
Solutions # 4
Solutions # 5
Solutions # 6
Solutions # 7



ABSENCE and CLASS PARTICIPATION:

You are not required to attend every lecture, but past experience has shown that engaging with the material in class will significantly improve your understanding of it. In addition, we intend to have discussion along with the lectures themselves, so invariably new questions and ideas are introduced that you may not find in the book or the notes.



GENERAL POLICIES:

[1] You are all taking this class because you have a passion for this subject. I am not concerned about the possibility that we will encounter any disruption, but we are required by the UA to emphasize our commitment to providing a positive learning experience for everyone. So please do not use any electronic devices (computer or phone) while in class, and let us all be supportive of our fellow students.

[2] Please be aware of the UA Threatening Behavior by Students policy, which prohibits threats of physical harm to any member of the University community: policy.arizona.edu/education-and-student-affairs/threatening-behavior-students

[3] You must also be aware of the Student Code of Academic Integrity that prohibits plagiarism: deanofstudents.arizona.edu/policies-and-codes/code-academic-integrity

[4] You are expected to abide by UA Policy 200E on prohibited behaviors: policy.arizona.edu/human-resources/nondiscrimination-and-anti-harassment-policy

[5] If you have a disability, please be aware of the reasonable accommodations provided by the Disability Resources Center: drc.arizona.edu/instructors/syllabus-statement

[6] We will try to adhere to the schedule of topics listed below. However, please note that the information contained in this course syllabus, other than the grade and absence policies, may be subject to change with reasonable advance notice, as deemed appropriate by the instructor.



SPECIFICS FOR THIS COURSE:

Homework
There will be nine homework assignments with variable due dates. Two of the problems per assignment will be graded, but these will be chosen at random from one assignment to the next. Each set of problems will contribute equally to the overall homework grade (see below).

Computer Project
You will all be getting some additional programming/computing practice by solving a problem closely related to the work we will be doing in class. There are four possible projects, and you will be asked to choose one (that is different from the one you did in Phys 331!). The completed project will be due on Wednesday, December 7.

In-class Activity
On occasion, we may carry out some in-class exercises closely aligned with the lectures. Some of these activities will be graded, so make sure not to miss these.

Learning Outcomes
Students will learn how to
1. Calculate reflection and transmission probabilities for electromagnetic waves incident upon a boundary
2. Use transformation laws to determine the electromagnetic fields in different reference frames
3. Perform calculations connected to energy conservation, linear momentum conservation and angular momentum conservation of electromagnetic fields and matter
4. Use the scalar and vector potentials in different gauges to determine the electric and magnetic fields within given boundary conditions.
5. Use special relativity to calculate the radiation produced by simple charge configurations.



TEXTBOOKS:

Required: Wangsness, R. K., Electromagnetic Fields, Second Edition
Additional Background (if needed): Melia, F., Electrodynamics

TOPICS COVERED DURING THE SEMESTER:

1. Magnetic Energy (Ch 18)
Energy of a System of free currents
Energy using magnetic induction
2. Magnetic Multipoles (Ch 19)
Vector potential
Magnetic dipole field
Tutorial 1: Magnetic Multipole Moments
3. Magnetism in Matter (Ch 20)
Magnetization
Magnetization current densities
Uniformly magnetized sphere
The H field
Linear, isotropic materials
Energy in the H field
4. Maxwell's Equations (Ch 21)
Displacement current
General form
Linear, isotropic media
Poynting's theorem
Electromagnetic momentum
Tutorial 2: Angular Momentum Conservation
5. Scalar and Vector Potentials (Ch 22)
General form of the potentials
Linear, isotropic media
Gauge transformation
6. Plane Waves (Ch 24)
Equations for E and B
Plane waves in a non-conducting medium
Plane waves in a conducting medium
Plane waves in an arbitrary direction
Time-averaged relations
Polarization
7. Reflection and Refraction of Plane Waves (Ch 25)
Laws of Reflection and Refraction
E perpendicular to plane of incidence
E parallel to plane of incidence
Reflection at surface of a conductor
Tutorial 3: Reflection and Transmission
Radiation pressure
8. Radiation (Ch 28)
Retarded potentials
Multipole expansion
Electric dipole radiation
Antennas
9. Special Relativity (Ch 29)
Postulates and Lorentz transformation
General transformations, 4-vectors and tensors
Particle mechanics
Relativistic electrodynamics
Tutorial 4: Field due to a Point charge


METHOD OF EVALUATION
  1. Homework Problems (20%)
  2. In-class activities + Computer project (10%)
  3. First written, in-class exam on Friday, September 29 (20%)
  4. Second written, in-class exam on Monday, October 23 (20%)
  5. Written Final, 10:30 am -- 12:30 pm, Friday, December 8 (30%)
GRADING SCALE:

Grades will be assigned according to the scale shown below.

A 85-100%
B 70-85%
C 60-70%
D 50-60%
E <50%