Physics 460

Electricity and Magnetism II

Fall 2006 -  class will meet in TH 428 at 9:35-10:50 am Tu Th

NEW  Question and answer page


Lea and Burke. Physics, the nature of things
Griffiths: Introduction to Electrodynamics, 3rd edition

Learning Objectives:

After successfully completing this class, you should be able to:

Use basic principles of electromagnetism to analyze physical systems, including dynamic distributions of charge, systems of conductors, capacitors, dielectrics, and current distributions.
Discuss the principles that apply in a given system, and clearly articulate the solution method.
Understand and be able to use conservation laws for energy and momentum in electrodynamic systems.
Use Faraday's law and integration to find electric fields in dynamic situations.
Apply vector mathematics and calculus  in the solution of  problems in electromagnetism in rectangular, spherical and cylindrical geometries.
Understand how to use symmetries to simplify problem solutions and to understand the results.
Understand the propagation of electromagnetic waves, and be able to compute reflected and transmitted amplitudes.
Bring together ideas from other branches of physics, such as mechanics and thermodynamics, when necessary to understand the behavior of a system.
Gain a first understanding of the principles and mathematics of special relativity.
Communicate your ideas clearly, orally and in writing.

Physics 460 is to cover the material in the last 6 chapters of Griffiths; 360 covers the rest!   Please review all your notes from Phys 360 before the first class. I will asume that you are on top of that material.  I have prepared a tentative class schedule that indicates the material to be covered each week, and the homework problems.  Please read the appropriate section of the text before class. The material will undoubtedly be somewhat mysterious the first time you see it, and you will get more from each class if you have looked at the material in advance.  The primary reference for conceptual material is Lea and Burke.  Please read the overview of E&M  (p754-763) before the semester starts.  Review as much of chapters 31-34 as you can.  To master material at the level of the Griffiths text we will need to include more advanced mathematical techniques.  Physics 385 is prerequisite to Physcs 360 and 460.  Keep your texts from that class (especially div, grad, curl and all that)- you will need to refer to them often.  For a more advanced treatment, you may want to look at Lea: Mathematics for physicists.

Assigned problems are listed on the schedule. Problem numbers in bold are extra credit for any undergraduates who would like to try them, but are required for graduate students.  Doing problems is the essence of learning physics. I shall collect and grade these problems every week. Do not get behind! The farther behind you get, the harder it is to catch up. Your grade for the class will be heavily based on these problem grades, although a good deal of credit will be given for a good attempt. (For what "good" means, check here.) You should include a clear and concise discussion of relevant physical principles and mathematical techniques in your solutions. Check this list for things you should NOT say in your solutions!

Quizzes may occur in any class without warning. Your quiz scores contribute 5% of your total grade. The one lowest quiz score will be dropped. All quizzes will be closed-book.

There will be an in class midterm, and a take-home final, both open-book.  Problems are due at the beginning of the class period on the day indicated. Assignments turned in late will be accepted only under exceptional circumstances.  While I encourage you to discuss the problems during the semester in study groups, please be sure that the work you turn in is your own.  Exams may not be discussed with anyone except me.  For the midterm, you may bring to class one page of notes (8x11, one side only) and one textbook of your choice.

Please note that some of the assignments may  involve a computer calculation. Computers may also be (and should be) used to construct plots and diagrams in other assignments.  However, computer programs such as Mathematica may not be used to do your algebra for you.

Grades will be assigned on the following basis:
Homework problems:  Midterm:  Final: Quizzes
30%  30%  35% 5%

Please feel free to discuss all aspects of the class with me at any time. Discuss the homework problems among yourselves as well as with me (exams should not be discussed, however). Try to attend published office hours, but also feel free to knock on my door whenever I am there (I'll tell you if I am busy!). It's usually a good idea to make an appointment.

Special note to graduate students taking 460  The problems marked in bold are for you alone.  They are a bit harder, and will require careful thought and/or careful and accurate computation.  Have fun!

How to learn physics

Ch 33
ch 33
Physics 460 
Course Outline
Spring 2006
Date  Griffiths Reference LB reference Topic
(click on links for lecture notes)
Problems Due date
Tu Aug 29
Ch 1-6;
Ch 7 sec 1
Overview of E&M,  Chapter 26
 Current and resistance
Th Aug 31
Ch 7 sec 2
Ch 30 sec 1-3
Motional EMF
LB  Ch 26 p 31
Aug 31
Tu Sep 5
Ch7 sec 3
Ch 30 sec 1-5
Faraday's Law, induced electric field
Th Sep 7
Ch10 sec 1
Ch 7 sec 2
Ch 30 sec  3
Ch 31
More about potential
LB  Ch 30 p 28, 81
Grads:  In P81, find how the system reaches its steady state.
G 7.1, 7.3
Sep 7
Tu Sep 12
Ch 7 sec 2
Ch 31 Inductance, Energy
Th Sep 14
Ch 7 sec 3
Ch 30 sec 6
 Maxwell's equations
Boundary conditions
G 7.13, 7.20, 7.24
 LB  Ch 31 p 45
Sep 14
Tu Sep 19
Ch 8 sec 1
Ch 33 sec 2
Conservation laws: Energy
Th Sep 21
Ch8 sec 2
"Digging Deeper" Page 936
Ch 33 sec 2
Conservation laws: Momentum
Stress-energy tensor
LB ch 31 p 79 Obtain an analytic result and comment before obtaining a numerical value.
G 7.30, 7.32, 7.34
Sep 21
Tu Sep 26
Ch 8 sec 2
Ch 33 sec 2 Conservation laws- momentum
Stress-energy tensor, Angular momentum
Th Sep 28
Ch 8 sec 2

Conservation laws- momentum
Stress-energy tensor, Angular momentum
G7.44, 7.54, 8.2
Sep 28
Tu Oct 3
Ch 9 sec 1
Ch 15
The wave equation, Waves in 1-D
Boundary conditions, reflection and refraction
Th Oct 5
Ch 9 sec 1
Ch 15 especially secs 3 &  5
Boundary conditions, reflection and refraction
Energy transmission
G8.6, 8.8
Oct 5
Tu Oct 10
Ch 9 sec 2
Ch 16 sec 2, Ch 33 sec 1
EM Waves in vacuum
Th Oct 12
Ch 9 sec 2
Ch 33 sec 1, 2 and 3
Waves in vacuum: radiation pressure
LB ch 15 p73, 84
G 9.9
Oct 12
Tu Oct 17
Ch 9 sec 3
Ch 16 sec 5
EM Waves in matter
Reflection and refraction at normal incidence
Th Oct 19
Ch 9 sec 3
Ch 16 sec 5, Ch 33
Reflection and refraction -- oblique incidence
G9.14, 9.33
LB Ch 33 p 30, 67
Oct 19
Tu Oct 24
Ch 9 sec 3, 4
Ch 33 sec 3
Brewster's angle.  Waves in conductors
Th Oct 26
Ch 9 sec 4
Ch 16 sec 5
A model for susceptibility-- dispersion
G9.17, 9.34
Oct 26
Tu Oct 31
Ch 9 sec 5
Ch 33 sec 4
Wave guides

Th Nov 2
Ch 9 sec 5
Ch 33 sec 4
Rectangular wave guide
G9.25, 9.37  See note on 9.37
Nov 2
Tu Nov 7
Ch 10 sec 1, 2
Potentials and gauge transformations.
Retarded potentials

Th Nov 9
Midterm exam
G9.28, 9.29
Grad students: in 9.29, verify that eq 8.14 is satisfied.
Nov 9
Tu Nov 14
Ch 10 sec 2, 3

Retarded potentials
Lienard Wiechert potentials

Th Nov 16
Ch 10 sec 3

Fields due to moving charges
G 10.2, 10.8
Nov 16
Nov 20-24

Tu Nov 28
Ch 11 sec 2

Power radiated by a point charge
Th Nov 30
Ch 11 sec 1.1,2

Electric Dipole radiation G10.9a, 10.13, 10.18
Nov 30
Tu Dec 5
Ch 11 sec 1.3

Magnetic dipole radiation

Th Dec 7
Ch12 sec 1
Ch 34 sec 1,2,3
Special relativity- postulates and connection to E&M
G 10.25, 11.10,  11.13

Dec 7
Tu Dec 12
Ch 12 sec 2
Ch 34 sec 4
Relativistic mechanics
Th Dec 14
Ch 12 sec 3
Ch 34
Relativistic E&M G11.11,  LB p 34.38
G 12.45
Dec 14
Th Dec 14 Ch 7-12
Ch 30-34
 Review.  Final exam handed out in class

Tu Dec 19

11:00 am Take-home final examination due
Tu Dec 19
Final Examination. (Official date)

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