Physics 106bc
Winter and Spring Quarter, 2013
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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.

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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)
February 11
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
February 18
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)
February 25
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)
March 4
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)
March 11
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.
No Lecture
Assignment 9
Due Mar 13
Solutions
(TA: Liling)
March 18
No Lecture
No Lecture
Final
(first page is cover sheet)
Solutions
Due Mar 20

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Tuesday Lecture Thursday Lecture Homework
(due Friday 4 pm)
April 1
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
April 8
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)
April 15
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)
April 22
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)
April 29
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)
May 6
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)
May 13
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)
May 20
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)
May 27
17. Antennas
Reading: TBD
18. Relativity in Electrodynamics I
Reading: G Ch 12
Assignment 7
Solutions
(TA: Liling)
June 3
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
June 10
No Lecture
No Lecture
Final for FSJ
Due June 14
(TA: Liling/David)

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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.

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Textbook(s)

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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