Physics 405: Electricity and Magnetism I

Instructor
Prof. Francis-Yan Cyr-Racine
Email: fycr@unm.edu
Office: PAIS 3214

Teaching assistant
Mr. Bisweswar Patra
Email: bpatra@unm.edu
Office: PAIS 1514


Description of the class

The goal of this class is to introduce the subject of classical electromagnetism at the advanced undergraduate level. This class correspond to the first part of a two-semester sequence of classes intended to cover the standard topics of classical electrodynamics in a mathematically sophisticated and conceptually rigorous manner. Much of this first part will be concerned with electrostatics and magnetostatics, but some discussion of electromagnetic induction ("Faraday's law") will be also presented, leaving most of the dynamics, including relativistic interactions with the electromagnetic field to be covered in the second part, Physics 406.

Classical electromagnetism (EM) is fundamentally a local theory of vector fields and its proper treatment requires methods of vector analysis and differential equations. We will briefly review these mathematical concepts in the first few lectures of the class. For static fields interacting with charges at rest or in steady motion, the electric and magnetic fields decouple from one another so they can be treated independently. Such independent treatment of electrostatics and magnetostatics is the central content of this class. Many of the concepts introduced in this class can be applied to other physical contexts, making this course a central pillar of a physicist academic career.



This course will now be entirely online. Lectures will take place through Zoom (see below for details), and you will be able to submit your assignments online on the UNM Learn platform. My "office" hours will also take place virtually on Zoom (see link below).  For your convenience, I have extended my office hours.

Zoom Link for Lectures: https://unm.zoom.us/j/628449537

Zoom Link for Office Hours (Tuesday 11:00am-12:30pm and Thursday 3:00-5:00pm): https://unm.zoom.us/j/324973003

To access these Zoom link, you will need to log in with your UNM Net ID.

Lectures

Monday, Wednesday, and Friday, 11:00-11:50, on Zoom at https://unm.zoom.us/j/628449537.

Textbook

Textbook for the class
Introduction to Electrodynamics (4th Edition) by D. Griffiths. Older editions of the book are likely fine as well. The course will roughly cover Chapters 1-6.

Additional resources
Berkley Physics Course on "Electricity and Magnetism" by E. Purcell and D. Morin.
Foundations of Electromagnetic Theory by J. R. Reitz, F. J. Mildford and R. W. Christy.

Office hours

Instructor
Tuesday 11:00am-12:30pm and Thursday 3:00-5:00pm on Zoom at https://unm.zoom.us/j/324973003. These are my preferred "office" hours. If you can't make my regular office hours, or if your questions cannot wait, please send me an email to set up an appointment.

Teaching assistant
The teaching assistant is Mr. Bisweswar Patra (bpatra@unm.edu). He will be available on Mondays 9-10:30am in office 1514 for you to drop in and discuss any homework grading issues you may have. If you need to schedule an appointment outside of the TA's office hours please send him an email.

Grading

The grading in the course will be based on your performance in homework assignments, two midterm exams, and a final exam. The contribution to the final grade is as follows:

  1. Homework: the best (n-2) scores of the n assignments will represent the 20% of the final grade.
  2. Midterm exams: each of them will represent the 25% of the final grade.
  3. Final: will represent the remaining 30% of the final grade.

The midterm exams are tentatively scheduled for February 19 and April 1 during (extended) class time, and the final exam will be held during the week of May 11-15.

Homework assignments

There will be 11 assignments during the semester. The assignments will be posted in the tentative schedule about 7-10 days before they are due. The login information necessary to access the homework PDFs will be provided in the first class. The homework must be submitted on the UNM Learn platform at 5pm on the day they are due. Late homework policy: homework returned in the next 24 hours after the due date will be accepted but with 10% penalization. After these 24 hours the corresponding solutions will be posted here.

While I strongly encourage you to discuss the homework assignments with your classmates, the work you hand in must be entirely yours.

Problems class

Listed officially as PHYC 415 (Wednesdays: 12:00 - 12:50 pm, on Zoom at https://unm.zoom.us/j/628449537).  This is a very important adjunct to the main lecture class. It will provide you additional practice with solving problems beyond the homework assignments and self study. We will also cover some examples of numerical approaches to solve problems in electrostatics and magnetostatics. Furthermore, the class will also give you a valuable opportunity to bring to my attention your difficulties with any concepts covered in the lecture class so I can address them in a group setting. The problem sheets would be posted here the Monday before the problem class. The corresponding solutions will be posted after the class. You will receive credit for the problems class as long as you register and show up for more than 10 sessions.

Learning Outcomes

  • Compute the electric field and electric potential for simple static charge distributions and boundary conditions.
  • Compute the trajectory and energy of a charged particle in the presence of a static electric field.
  • Understand the behavior of the electric field and potential in the presence of a conductor.
  • Understand the behavior of the electric field and potential in the presence of a dielectric.
  • Compute the magnetic field and vector potential for a steady current. 
  • Compute the trajectory and energy of a charged particle in the presence of a static magnetic field.
  • Understand the behavior of the magnetic field and vector potential in the presence of matter.
  • Compute the energy stored in static electric and magnetic fields.

Syllabus topics

You can find the calendar for the course in the tentative schedule.

  1. Review of mathematical tools
    - Vector algebra
    - Vector differential and integral calculus
    - Curvilinear coordinates
    - Dirac delta function
  2. Electrostatics
    - Electric field
    - Electric potential
    - Electrostatic work and energy
    - Conductors
  3. Boundary value problems in electrostatics
    - Laplace's equation
    - The method of images
    - Separation of variables
    - Multipole expansions
  4. Electric field in matter
    - Bound charges and electric polarization
    - Electric displacement field
    - Linear dielectrics
    - Energy in dielectrics
  5. Magnetostatics
    - Lorentz force
    - Biot-Savart and Ampere laws
    - Correspondences between electrostatics and magnetostatics
    - Magnetic vector potential
  6. Magnetic fields in Matter
    - Magnetic dipoles and magnetization
    - Magnetic field of a magnetized object
    - Magnetic media

Tentative schedule


Date Subject Griffiths Reading Homework HW Due Solutions
Week 1
01/20-01/24
No Class 01/20 - MLK Jr Day
Vector Algebra review
Vector Calculus review 1

Ch 1.1
Ch 1.2-1.3
Homework 1
01/31
Homework 1 solutions
Week 2
01/27-01/31
Vector Calculus review 2
Vector Calculus review 3
Vector Calculus review 4
Ch 1.2-1.3
Ch 1.4-1.5
Ch 1.5-1.6
Homework 2
02/07 Homework 2 solutions
Week 3
02/03-02/07
Electric Field 1
Electric Field 2
Ch 2.1
Ch 2.1
Ch 2.2

 

Week 4
02/10-02/14
Electric Potential 1
Electric Energy 1
Electric Energy 2 + review
Ch 2.2
Ch 2.3-2.4
Ch 2.4
Homework 3
02/17   Homework 3 solutions
Week 5
02/17-02/21
Midterm #1: 02/19


Ch 2.5
Homework 4
02/26 Midterm 1 Solutions
Homework 4 solutions
Week 6
02/24-02/28
Boundaries+conductors
Capacitance+conductors
Ch 2.5
Ch 2.5
Ch 3.1
Homework 5
03/06 Homework 5 Solutions
Week 7
03/02-03/06
Image charges
Induced Charges
Laplace's equation 1
Laplace's equation 2
Ch 3.1-3.2
Ch 3.1-3.2
Ch 3.3



Week 8
03/09-03/13
Laplace's equation 3
Laplace's equation 4

Ch 3.3
Ch 3.3
Ch 3.3
 Homework 6
03/13
Homework 6 Solutions
Week 9
03/16-03/20
Spring Break




Week 10
03/23-03/27
Multipoles 1
Multipoles_2
Ch 3.4
Ch 3.4
Ch 3.4
Homework 7
03/30
Homework 7 Solutions
Week 11
03/30-04/03
Review Ch 3
Midterm #2: 04/01


  04/10  
Week 12
04/06-04/10


 
04/17

Week 13
04/13-04/17






Week 14
04/20-04/24




04/27

Week 15
04/27-05/
01



05/06

Week 16
05/04-05/08






Problems class


Date Problems Solutions
01/22
Problems 1
Problems 1 Solutions
01/29
Problems 2
Problems 2 Solutions
02/05
Problems 3
Problems 3 Solutions
02/12
Problems 4
Problems 4 Solutions
02/19 Midterm #1

02/26
Problems 5
Problems 5 Solutions
03/04
Problems 6
Problems 6 Solutions
03/11
Problems 7
Problems 7 Solutions
03/18
Spring break

03/25
Problems 8
Problems 8 Solutions
04/01
Midterm #2

04/08


04/15


04/22

04/29

05/06



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