PHYC 406: Electricity and Magnetism II


Prof. Alejandro Manjavacas
Office: P&A 1136
Phone: 505 277-1064

Teaching assistant
Nazanin Mosavian

Description of the class

This class correspond to the second 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. This second part will be centered on the description of time dependent electromagnetic fields and their interactions with charges and currents.


Tuesday and Thursday, 11:00-12:30, P&A Room 184.


Textbook for the class
Introduction to Electrodynamics (4th Edition) by D. Griffiths. The course will cover Chapters 7-12.

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

Office hours

Tuesdays and Thursdays 12:30-2:00 in Room 1136. These are nominal office hours, you are welcome to come into my office at other times too if your questions cannot wait, although I would appreciate if you could send an email announcing your visit. Sometimes, this drop-in approach may not work if I am very busy or your question requires more than just a few minutes, but in that case I will ask you to come back at a later time.

Teaching assistant
The teaching assistant is Nazanin Mosavian ( She will be available on Thursdays from 1.00 pm to 2.00 pm in P&A lobby for you to discuss any homework grading issues you may have (please send her an email to arrange an appoinment).


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-1) 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 MT exams are tentatively scheduled for September 27 and November 3, during (extended) class time, and the final exam will be held on December 13.

Homework assignments

There will be 9 assignments during the semester each with 4-6 problems apiece. The assignments will be given throughout the semester and will be posted in the tentative schedule about 7-10 before they are due. Late homework policy: homework returned in the next 3 days after the due dat will be accepted but 50% penalization. After 3 days of the due date the corresponding solutions will be posted here.

Problems class

Listed officially as Phyc 416.001 (Thursdays: 2:00 - 3.00 pm, Room 184).  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 electrodynamics. 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 Friday 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.

Syllabus topics

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

  1. Electrodynamics
  2. Conservation laws
  3. Electromagnetic waves
  4. Potentials and fields
  5. Radiation
  6. Relativistic electrodynamics

Tentative schedule

Topic Date Subject Griffiths Reading Homework HW Due Solutions
Review of electrostatics
08/23 (Tu) Review of electrostatics
Ch 1-6
HW1  08/30 (Tu)
08/25 (Th) Electromotive force - Faraday's law
Ch 7

  08/30 (Tu) Inductance
Ch 7  

08/30 (Tu) Maxwell's equations - 3.00-4.15 pm in Rm.184 Ch 7 HW2 09/15 (Th)

09/01 (Th) No class

  09/06 (Tu) No class

09/08 (Th) No class

09/13 (Tu) Boundary conditions
Ch 7

 Conservation laws 09/15 (Th) Conservation laws I
Ch 8      

09/15 (Th) Conservation laws II - 3.00-4.15 pm in Rm.184 Ch 8
HW3 09/27 (Tu)
  09/20 (Tu) Forces on charges and currents
Ch 8

09/22 (Th) Angular momentum Ch 8

 Electromagnetic waves 09/22 (Th) Electromagnetic waves I
 3.00-4.15 pm in Rm.184
Ch 9

09/27 (Tu) Midterm Exam I

  09/29 (Th) Electromagnetic waves II Ch 9

10/04 (Tu) Electromagnetic waves III Ch 9 HW4 10/11 (Tu)

10/06 (Th) Electromagnetic waves in matter
Ch 9

10/11 (Tu) Reflection and transmission I
Ch 9
HW5 10/18 (Tu) HW5_sol
  10/13 (Th) Fall break - No class

  10/18 (Tu)
Reflection and transmission II
Ch 9
HW6 10/27 (Th)
  10/20 (Th) Material properties Ch 9

  10/25 (Tu) Material properties II Ch 9

10/27 (Th)
Waveguides I Ch 9
HW7 11/10 (Th)
  11/01 (Tu) Waveguides II Ch 9    
Potentials and fields 11/03 (Th) Electromagnetic fields of elementary sources I Ch 10

11/08 (Tu) Midterm exam II
  11/10 (Th) Electromagnetic fields of elementary sources II Ch 10 HW8 11/29 (Tu)

11/15 (Tu) Electromagnetic fields of elementary sources III Ch 10

11/17 (Th) No class

11/22 (Tu) Electromagnetic fields of elementary sources Ch 10

11/24 (Th) Thanksgiving - No class

11/29 (Tu) Electromagnetic field due to a moving charge
(Java app that we used in class)
Ch 10 HW9 12/08 (Th)
Radiation 12/01 (Th) Radiation from simple sources Ch 11    

12/01 (Th) Radiation from simple sources II
  3.00-4.15 pm in Rm.184

12/06 (Tu) Radiation from a collection of sources
Ch 11

  12/08 (Th) Review

Problems class

Date Problems Solutions
08/25 (Th) PC1 PC1_sol
09/01 (Th) No class

09/08 (Th)
No class
09/13 (Tu) - 3.00-3.50 pm in Rm.184 PC2 PC2_sol
09/15 (Th) PC3 PC3_sol
09/20 (Tu) - 3.00-3.50 pm in Rm.184 PC4 PC4_sol
09/22 (Th) PC5 PC5_sol
09/29 (Th) PC6 PC6_sol
10/06 (Th) PC7 PC7_sol
10/13 (Th) Fall break -No class
10/20 (Th) PC8 PC8_sol
10/27 (Th) PC9 PC9_sol
11/03 (Th) PC10 PC10_sol
11/10 (Th) No class
11/15 (Tu) - 3.00-3.50 pm in Rm.184 PC11 PC11_sol
11/17 (Th) No class
11/22 (Tu) - 3.00-3.50 pm in Rm.184 PC12 PC12_sol
11/24 (Th) Thanksgiving

12/01 (Th) PC13 PC13_sol
12/08 (Th)
PC14 PC14_sol

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