PHYSICS
542‑01
Electromagnetic
Radiation
Spring 2009
NS 312
MWF 9:00 am ‑ 9:50 am
Instructor: Dr.
C. L. Davis
Office: Room
205, Natural Science Building
Office hours: Monday,
2:00 pm ‑ 3:00 pm
Tuesday, 2:00 pm ‑ 3:00 pm
Wednesday,
2:00 pm ‑ 3:00 pm
Telephone: 852‑0852
E‑mail: c.l.davis@louisville.edu
WWW: http://www.physics.louisville.edu/cldavis/phys542/spring09/index.html
Text: Electromagnetic
Fields by Roald K. Wangsness
2nd edition. Published by Wiley
INTRODUCTION
This course is the
second of two senior level electricity and magnetism courses. Both
courses (541 and 542) are required for the Physics BS Professional and Applied
Optics concentration. Only the first semester (541), is required for the
Physics BA and the Physics BS with the Astronomy and Astrophysics,
Computational Science and Materials Science concentrations. The material
to be covered in these courses does not lend itself well to a 50/50
split. According to the U. of L. catalogue, the first semester course
(541) should cover all classical electricity and magnetism, up to and including
the development of Maxwell's equations. This course should include the
development of electromagnetic waves from Maxwell's equations followed by a
description of certain properties of this radiation. In my opinion,
attempting to cover all E&M up to and including Maxwell's equations to a
level appropriate for a final year undergraduate course in a single 14 week
semester is foolhardy. There is just too much material, much of which,
although conceptually relatively easy, is practically quite difficult.
Therefore, in developing this course I have treated the two semester sequence
as a single unit. Assuming all has gone according to plan, much of the
formulation of Maxwell's equations (Chapters 1‑19 excl. 11 of the text)
will have been completed in Physics 541. This semester, Physics 542 will
start with the completion of the formulation of Maxwell's equations, discuss
some special methods in electrostatics and continue with a description of some
of the properties of electromagnetic waves and radiation. A detailed
description of the intended coverage for this course may be found at the end of
this syllabus.
You are strongly urged
to read the chapter or
sections slated for coverage before
each class. Ideally, you should treat the lectures as a review of what
you have already read. You will gain most from the lectures if you can
concentrate on what I am saying not on what I am writing and this can only be
achieved if you have some idea of what I am talking about in the first place.
Most of the lectures
will be spent in a formal development of the topic of discussion. Only on
rare occasions will there be time to completely solve any of the homework (or
other problems). You are encouraged to make use of worked examples in the
text, discussion with fellow class members and the instructor's office hours to
solve assigned problems.
GRADING
Grades will be
determined from the overall percentage obtained by the following weighting , where the numbers in brackets represent the distribution of the weight between the
“in-class” and “take-home” sections of the tests.
|
|
Undergraduate |
Graduate |
|
|
|
|
|
Test 1 (Feb. 18,20) |
35% (25, 10) |
26% (18, 8) |
|
Test 2 (Apr. 24) |
35% (25, 10) |
26% (18, 8) |
|
Final (Apr. 24) |
- |
26% (18, 8) |
|
Homework |
30% |
22% |
The dates given above
are tentative. There will be no make‑ups.
It is expected that
letter grades will be assigned according to the scale indicated below.
These grade boundaries will not be raised. However, the instructor
reserves the right to lower the grade boundaries if deemed necessary.
|
|
|
A |
³ |
73% |
|
73% |
> |
A- |
³ |
68% |
|
68% |
> |
B+ |
³ |
63% |
|
63% |
> |
B |
³ |
58% |
|
58% |
> |
B- |
³ |
53% |
|
53% |
> |
C+ |
³ |
48% |
|
48% |
> |
C |
³ |
43% |
|
43% |
> |
C- |
³ |
38% |
|
38% |
> |
D+ |
³ |
36% |
|
36% |
> |
D |
³ |
33% |
|
33% |
> |
D- |
³ |
30% |
|
30% |
> |
F |
|
|
TESTS
Each test will have an
"in‑class" and a "take‑home" section. The
tests will include only material covered during the regular class meetings
unless otherwise specified. The "in‑class" test problems
will, by necessity, require less time to solve than the typical homework
problems. But this does not mean that they will be easy. You will
be allowed a single sheet of paper (8.5 x 11) on which you may write anything
you think will be of assistance. Nevertheless, in order to solve the
problems you will need to be completely familiar with the appropriate
material. In other words, time will be a factor. The "take‑home"
problems will typically be more difficult than the "in‑class"
problems, but will not be more difficult than the most difficult homework
problems. There will, of course, be more time available to solve the
"take‑home" problems, but probably not more than forty eight
hours. The exact limitation will be announced prior to the test.
Solutions of “take-home” problems must be your own work. If it is clear that there
has been collaboration between students on “take-home” problems scores will be
adjusted in the same manner as described in the Homework section below.
According to my
projected timetable the first test will include all of the material described
on the last page of this syllabus from Chapters 11, 20‑22 and Appendix
A. The second test will be based on material covered in Chapters 24, 25,
28 and 29. The second test is not comprehensive. That is, it will
include only material covered since the first test. However, if you are
classified as a graduate student, in addition to the second test described
above, you will be required to take an additional comprehensive test, having
equal weight to tests 1 and 2, but including all the material covered in the
semester.
HOMEWORK
Homework will be
assigned at the completion of each chapter of the text. Unless specified
otherwise it must be completed one week from
the date of assignment.
All homework will be collected, graded and returned as soon as possible,
hopefully within one week. At the end of the semester your total homework
score will be converted to a percentage and included as part of your overall
grade in the manner described above.
I will almost always
assign odd numbered problems, since the answers to these problems may be found
in the text. Often knowing the answer can be of assistance in developing
a solution. But remember that since the answer is given merely stating it
will gain no credit, you must show me how the answer is obtained.
If a chapter takes one
class to complete there will likely be 2 or 3 problems assigned from that
chapter and this will constitute one homework assignment. If a chapter
takes two classes to complete you can expect 4-6 problems in that chapter's
home work assignment. Each assigned problem
will be worth ten points, therefore, all homework assignments will not carry
equal weight. Partial credit will be awarded. This means that you
should always submit your attempt at a solution even if you were unable to
arrive at the final answer. Also, look out for questions that have
several parts, the ten points will be divided between the parts. If you
make no attempt at one part you will automatically lose the points assigned to
that part. In a similar vein, if the second part of a problem requires
the answer to the first part of the problem, which you were not able to
evaluate, you should make an attempt at the second part using the answer to the
first part given in the text. Since problem solving time in class will be
limited, when your graded homework is returned, attached to it will be worked
solution of every assigned problem that you were unable to solve.
Together with your correct solutions the homework problems will form a valuable
study aid for the tests.
Late homework will not be
accepted. As
you can see homework constitutes a significant part of the grading
scheme. My recommendation is to make a first pass attempt at each
homework assignment as soon as is practically possible after receiving the
assignment. If you identify potential difficulties you will then have
plenty of time to work on them before the due date. I will be very
sympathetic to requests for guidance several days before an assignment is
due. My sympathy will decrease quite quickly as the due date
approaches. By all means discuss the problems with fellow class members, this can be beneficial to all involved.
However, I expect individual solutions. A single solution submitted by
several individuals is blatantly obvious and will be considered a single solution. That is, each
individual will receive a fraction of the total points awarded for the solution
equal to the reciprocal of the number of individuals submitting the solution.
Finally, please take
pride in your work. I will not grade your "scratch‑pad".
Each step in a solution should follow logically. Do not be afraid to
explain your terms, include sketches where necessary and show all your working.
CLASS PARTICIPATION
When a course follows a text closely, as is the case for this course, there is
a tendency to think that lectures are unnecessary. It is true that
certain individuals are able to learn physics solely from a textbook.
However, for most of us, more explanation is needed than that which appears in
a typical textbook. When learning new material, lectures provide the
opportunity to ask questions as well as clarifying explanations. In order
to ensure that you avail yourself of this opportunity class participation will
be monitored throughout the semester. Participation does not mean that
you are required to ask questions or be otherwise vocal in class; attendance in
and of itself is a type of participation.
The following criteria will be followed; your
final grade will be reduced by one ± letter grade for every complete multiple
of 5 (unexcused) class absences. If you arrive more than 15 minutes late
for class you are deemed to be absent. For example, if at the end of the
semester you earn a B+ from tests and homework, but missed a total of 12
class meetings, your grade will be reduced by 2 ± letter grades. Your
final grade will be a B-.
SYLLABUS
The material covered
will closely follow the chosen text. The proposed schedule is
described below.
|
Jan |
7 |
20.1 – 20.2 |
Magnetism and matter 1 |
|
|
9 |
20.3
|
Magnetism and matter 2 |
|
|
12 |
20.4 |
Magnetism and matter 3 |
|
|
14 |
20.5 |
Magnetism and matter 4 |
|
|
16 |
20.6, 20.7 |
Magnetism and matter 5 |
|
|
|
|
HW:
Ch.20 #3,5,7,9,17,19,23,25,27 |
|
|
19 |
MLK Holiday |
|
|
|
21 |
21.1 – 21.3 |
Maxwell’s equations 1 |
|
|
23 |
21.4, 21.5, 11.2 |
Maxwell’s equations 2, Method of images |
|
|
|
|
HW: Ch.21 #1,3,7,9,12 |
|
|
26 |
11.2 |
Method of images, Laplace equation |
|
|
28 |
11.2 – 11.4 |
Method of images, Laplace equation |
|
|
30 |
11.2 – 11.4 |
Solutions to Laplace’s equation |
|
Feb |
2 |
11.4 – 11.6 |
Solutions to Laplace’s equation, Poisson’s
equation |
|
|
|
|
HW: Ch.11 #3,5,9,13,17,25,27,31
|
|
|
4 |
App A.1 |
Motion of charged particles 1
|
|
|
6 |
App A.2, A.3 |
Motion of charged particles 2 |
|
|
|
|
HW: App.A #1,3,5,9,11 |
|
|
9 |
22.1 |
Potentials 1 |
|
|
11 |
22.1 |
Potentials 2 |
|
|
13 |
22.2, 22.3 |
Potentials 3 |
|
|
|
|
HW: Ch.22 #2,5,7,8
|
|
|
16 |
24.1, 24.2 |
EM plane waves 1
|
|
|
18 |
Test 1A |
|
|
|
20 |
Test 1B |
|
|
|
23 |
24.4 |
EM plane waves 2 |
|
|
25 |
24.5, 24.6 |
EM plane waves 3 |
|
|
27 |
24.7, |
EM plane waves 4 |
|
|
|
|
HW:
Ch.24 #3,5,9,13,15,17,19,31 |
|
Mar |
2 |
25.1, 25.2 |
Reflection
and refraction of EM waves 1 |
|
|
4 |
25.3 |
Reflection and refraction of EM waves 2 |
|
|
6 |
25.4 |
Reflection and refraction of EM waves 3 |
|
|
9 |
25.5
|
Reflection and refraction of EM waves 4 |
|
|
|
|
HW:
Ch.25 #1,3,5,7,9 |
|
|
11 |
24.3 |
EM plane waves in a conductor |
|
|
|
|
HW: Ch.24 #7,11 |
|
|
13 |
Open |
|
|
|
16 |
Spring Break |
|
|
|
18 |
Spring Break |
|
|
|
20 |
Spring Break |
|
|
|
23 |
25.6 |
Reflection and refraction of EM waves in
conductor |
|
|
25 |
25.8 |
Reflection and refraction of EM waves in
conductor |
|
|
|
|
HW: Ch.25 #11,12,13,16,17 |
|
|
27 |
28.1 |
EM radiation 1 |
|
|
30 |
28.2 |
EM radiation 2 |
|
Apr |
1 |
28.3 |
EM radiation 3 |
|
|
3 |
28.4 |
EM radiation 4 |
|
|
6 |
28.5 |
EM radiation 5 |
|
|
|
|
HW: Ch.28 #1,3,4,5,6,7,8,9,1,12,13,16,17 |
|
|
8 |
29.1 |
EM
and Relativity 1 |
|
|
10 |
29.2 |
EM and Relativity 2 |
|
|
13 |
29.3 |
EM and Relativity 3 |
|
|
15 |
29.4 |
EM and Relativity 4 |
|
|
|
|
HW:
Ch.29 #3,5,7,9,13,15,17 |
|
|
17 |
29.5 |
EM and Relativity 5 |
|
|
20 |
29.6 |
EM and Relativity 6 |
|
|
22 |
29.6 |
EM and Relativity 6 |
|
|
|
|
HW: Ch.29 #21,23,25,27,29,31 |