Overview
From the course catalog:
An intermediate course in the application of
basic principles of classical physics to a wide variety of
subjects. Roughly half of the year will be devoted to
mechanics, and half to electromagnetism. Topics include
Lagrangian and Hamiltonian formulations of mechanics,
small oscillations and normal modes, boundary-value
problems, multipole expansions, and various applications
of electromagnetic theory.
Ph106bc covers electrodynamics at a level of sophistication
beyond the introductory Ph1bc sequence. You will see
much material that is familiar to you, but we will take a more
rigorous approach, analyze more challenging physical
situations, and also consider many topics not seen in
Ph1bc. It is impossible to emphasize how important the
core physics courses Ph106 and Ph125 are: these teach you the
basic frameworks and techniques that you must know to do any
physics.
Quick Links
Announcements
- 2013/05/22: No TA office hour today due to travel.
Please contact Liling or David if you need assistance, and
instructor office hours will be on Thursday 6:30-8:30 as
usual.
- 2013/05/22: Ditch day policy: Depending on which day ends
up being ditch day:
- If on a lecture day, then lecture will be skipped and
some of the relativity material will be dropped at the end
of term.
- If on a Friday, then homework will be given a 24-hour
extension to Saturday 4 pm. Please make
sure you have a way to get into Bridge over the
weekend. I believe undergraduates have card
access. Graduate students may not have access, but,
since graduate students don't participate in ditch day,
there is no rationale for delaying the due date for them.
If there is a fundamental reason this scheme will not work
(such as building access), please contact me.
- 2013/05/21: We did an experiment today where I lectured
from the notes slides instead of writing on the board.
The preference seemed to be for the lecturing from the
notes, as long as I go slowly enough and work through all
the steps. We'll try this again on Thursday.
Syllabus and
Schedule, Problem Sets, and Solutions
Below you will find the outline of the E&M portion of
Ph106bc. I will fill in details of the topics covered
in lectures, suggested reading, problem sets and solutions
as the term progresses. The assignments will be due on
Fridays, and will be available on the website about a week
before the due date. Note that they are
listed in the week they are due, rather than the week they
are assigned. The schedule for the lectures and
assignments may change as the term progresses.
The lecture notes, problem sets, and solutions are only
accessible to computers with a Caltech IP address (either
direct or by VPN). Please let me know if you are enrolled in
the class and this causes problems for you, and I will make
other arrangements.
In the suggested reading, G stands for Introduction to
Electrodynamics by Griffiths, LN for Lecture Notes, HM
stands for Classical Electromagnetism by Heald and
Marion, J for Classical Elecrodynamics by Jackson,
and LL for The Classical Theory of Fields by Landau
and Lifshitz. Reading given in parentheses is optional
(intended only to tell you where I am drawing material
from).
| Week |
Tuesday Lecture |
Thursday Lecture |
Homework
(due Friday 4 pm)
|
|
|
| 1. Electrostatics I |
| Reading: G §2.1-2.2, LN§2.1-2.5 |
|
| 2. Electrostatics II |
| Reading: G §2.3-2.5, LN §2.6-2.9 |
|
No Assignment
Review G Ch 1 |
|
|
| 3. Uniqueness Theorem, Green Functions
|
Reading: G §3.1, LN §3.1-3.3 (J §1.8-1.10)
|
|
| 4. Method of Images |
| Reading: G §3.2, LN §3.4 (J §2.1-2.6) |
|
Assignment 6
(v. 2: updated 2/20 6 am)
Solutions
(TA: Chan) |
|
|
| 5. Separation of Variables I |
| Reading: G §3.3, LN §3.5 (J §2.8-2.9,
3.1-3.3) |
|
| 6. Separation of Variables II, Multipole
Expansions |
| Reading: G §3.4, LN §3.5-3.6 (J §3.5-3.6,
3.9, 4.1-4.2) |
Summary slides
for lectures 3-6 (excl. multipoles)
|
|
Assignment 7
(v. 2: updated 2/24 4 pm)
Recitation
notes
Solutions
(TA: Liling) |
|
|
| 7. Electric Fields in Matter I |
| Reading: G §4.1-4.3, LN §4.1-4.2 |
|
| 8. Electric Fields in Matter II |
| Reading: G §4.4, LN §4.3-4.5 |
|
Assignment 8
Recitation
notes
Solutions
(TA: Chan) |
|
|
| 9. Review |
| Reading: G Ch 1-4, LN §1-4 |
2012 Final exam problems
and solutions
(presented in class on 3/11)
Note: problem 3 is in cylindrical coordinates,
what was presented in class was in spherical
coordinates. The boundary conditions are
similar in the two cases.
|
|
|
Assignment 9
Due Mar 13
Solutions
(TA: Liling) |
|
|
|
|
Final
(first page is cover sheet)
Solutions
Due Mar 20
|
Back to the
top.
|
Tuesday Lecture |
Thursday Lecture |
Homework
(due Friday 4 pm) |
|
|
| 1. Magnetostatics I |
| Reading: G §5.1-5.3, LN §5.1-5.4 |
|
| 2. Magnetostatics II |
| Reading: G §5.4, LN §5.5-5.7 |
|
No Assignment due |
|
|
| 3. Magnetic Fields in Matter I |
| Reading: G §6.1-6.3, LN §5.7-6.3 |
|
4. Magnetic Fields in Matter II
|
| Reading: G §6.4, LN §6.3-6.4 |
|
Assignment 1
(v. 2 posted 2013/04/09 7 am)
Recitation
notes
Solutions
(TA: Chan) |
|
|
5. Magnetic Fields in Matter
III,
Currents and Ohm's Law |
| Reading: G §7.1, LN §6.4, 7.1 |
|
| 6. Electromagnetic
Induction |
| Reading: G §7.2, LN §7.2-7.5 |
|
Assignment 2
Solutions
Recitation
notes
(TA: David) |
|
|
| 7. Maxwell's Equations, Conservation
Laws |
| Reading: G Ch 8, LN §7.6, 8 |
|
| 8. Electromagnetic Waves |
| Reading: G §9.1-9.2, LN §9.1 |
|
Assignment 3
(v. 3 posted 4/26!)
Solutions
Recitation
notes
(TA Liling) |
|
|
| 9. Waves in Matter I |
| Reading: G §9.3, LN §9.2 |
|
| 10. Waves in Matter II |
| Reading: G §9.4.1-9.4.2, LN §9.3 |
|
Midterm
(first page is cover sheet)
Solutions
(v. 2 posted 5/8)
(TA: Chan/Liling)
|
|
|
11. Waves in Matter III,
Confined Waves: Transmission Lines |
| Reading: G §9.4.3, 9.5, LN §9.4-9.5 |
|
| 12. Confined Waves: Waveguides |
| Reading: G §9.5, LN §9.6 |
|
Assignment 4
(v. 3 posted 5/9)
Section 8.3 of
Griffiths 4th ed.
Solutions
(v. 3 posted 5/12)
(TA: Chan) |
|
|
| 13. Potential Formulation |
| Reading: G §10.1, LN §10.1 |
|
| 14. Moving Point Charges |
| Reading: G §10.2-10.3, LN §10.1-10.2 |
|
Assignment 5
(v. 2 posted 5/16)
Solutions
(TA: David) |
|
|
| 15. Moving Point Charges ct'd
|
| Reading: G §11.2.1, LN §10.2 |
|
16. Dipole Radiation
Scattering/Classical Electron Theory |
| Reading: G §11.1, 11.2.2-3 |
|
Assignment 6
Solutions
(TA: Chan) |
|
|
| 17. Antennas |
| Reading: TBD |
|
| 18. Relativity in Electrodynamics I |
| Reading: G Ch 12 |
|
Assignment 7
Solutions
(TA: Liling) |
|
|
| 19. Relativity in Electrodynamics II
|
| Reading: G Ch 12 |
|
| Review/Catchup |
| Reading: TBD |
|
Assignment 8
(FSJ only)
Solutions
(TA: David)
Final for GS
Due June 7 |
|
|
|
|
Final for FSJ
Due June 14
(TA: Liling/David)
|
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top.
Vital
Information
Location:
107 Downs
Time: TuTh 10:30 am - 12:00 pm
Instructor:
Prof. Sunil Golwala, 308
Cahill, Mail Code 367-17, golwala at caltech.edu
Office hours: Thursday evenings, 6:30 pm - 8:30 pm,
SFL 229
If you need to contact me outside of office hours, please
try email first. I am happy to arrange meetings
outside of normal office hours, but I am not always
available on the spur of the moment. Please include "Ph106" in the
subject line of your email so that it is recognized and
responded to quickly.
Teaching Assistants:
Chan Young Park, splendid at
caltech.edu, 422 Downs
Liling Gu, gll007 at caltech.edu, 379 Sloan
(Ph106c only) David Levitan, dlevitan at caltech.edu, 284
Cahill
Recitation: Recitations will be on W 4-5 pm in SFL
328 starting 4/10.
Office hours: For now, by appointment.
Feedback:
I greatly appreciate student feedback; feedback prior to the
end-of-term evaluations lets me modify the class to fit your
needs. In person, by email, by campus mail, whatever you
like. If you would like to preserve your anonymity,
campus mail will usually work. My mailbox is in the
kitchen area near my office.
Back to the
top.
Textbook(s)
- Required: Introduction to
Electrodynamics, Griffiths (4th Edition!) available
via the online
textbook store. No guarantees are made about
whether the 3rd edition is sufficient for the course.
Note that only the 3rd edition is available in the library
reserve, but a 4th edition copy has been ordered.
- Optional (on open
reserve at Fairchild Library):
- Heald and Marion, Classical
Electromagnetic Radiation
- Jackson, Classical Electrodynamics: the bible,
but too advanced for this course
- Landau and Lifshiftz, The Classical Theory of Fields
- Landau and Lifshiftz, Electrodynamics of Continuous
Media
- Lecture Notes:
Updated 2013/05/21 2:30 pm (through lecture 23): pdf
My lecture notes will in general follow Griffiths and are
primarily intended as a distillation for my personal
use. It will appear in class that I am working
directly from them because I am -- that's why they're called
lecture notes! My goals in making them available to
you are:
- To provide clarification of points in Griffiths that I
thought deserved more or alternate explanation.
- To present additional explanation or material derived
from other texts; the references will be provided in the
notes.
- To get all the algebra down on the page, correctly, so
that I don't get bogged down on the board and so that
you don't have to transcribe everything that I write.
I do not consider
myself responsible for providing updated copies of the
lecture notes well ahead of class time -- they are being
written as the course is being given. They will be
posted promptly after class. I suggest that you spend
your time in class following the lecture at a conceptual
level and noting down for yourself points or derivations
that were not clear to you; when you review the posted
notes, you may find your questions answered. If not,
you are welcome to ask for clarification. And, of
course, please ask questions during lecture!
The lecture notes may relieve you of the obligation of
coming to lecture. That's your choice. Some
students benefit from being able to receive information
aurally and to interact during that process; others prefer
to read it off the page. Whatever works for you.
Grades are based only on the written work you hand
back.
But please do not delude yourself into thinking that,
because the lecture notes are available, you can just skim
through it all on the day before a problem set or exam is
due and expect to immediately become expert. Learning
requires time to mull over concepts in your mind, for your
subconscious to work on ideas and problems. If you
choose not to come to class, please be disciplined about
keeping up with the material in your own study time.
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Policies and
Grading
The courses will continue the
policies
laid out by Prof. Cross for Ph106b. In particular,
problem set and exam policies given there apply to the
second-half problem sets and final exam.
Note especially that the "one free extension" rule applies to
the entire term, not to each half, for Ph106b.
Problem sets should be turned in by Friday at 4 pm to the
Ph106 box outside 201 E. Bridge. They will be available
for pickup either in class or in my administrator's office
(307 Cahill). She is usually there 8-4 pm except 12-1 pm
Monday-Thursday. I can open up her office to give you
your problem set on Fridays, but I am not always in my office,
so you'll have to send me email ahead of time to find a time I
am available.
The weighting for problem sets and exams in the final grade
for Ph106b will be:
- 25% first half problem sets
- 25% midterm exam
- 25% second half problem sets
- 25% final exam
For Ph106c, the split will be
- 50% problem sets
- 25% midterm exam
- 25% final exam
Use of mathematical software like Mathematica is allowed, but
will not be available for exams. From a former
colleague:
It is absolutely
essential that you develop a strong intuition for basic
calculations involving linear algebra, differential
equations, and the like. The only way to develop this
intuition is by working lots of problems by hand; skipping
this phase of your education is a really bad idea.
Grade Distributions
Ph106b:
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top.