Physics 110A                            Electricity, Magnetism, and Optics                                    Winter 2007

 

MWF, 3:304:40 pm, Physical Sciences 114.

 

Instructor:  Robert Johnson

Office: 323 Natural Sciences II; Office phone 459-2125

E-mail: rjohnson@scipp.ucsc.edu

Office hours:  MWF 10:0011:00 am, or by appointment.

Course Web site: http://scipp.ucsc.edu/~johnson/phys110a/phys110a.htm

 

TA: Heath Holguin

Office: ISB 314; Phone 459-4138

E-mail: holguin@scipp.ucsc.edu

Discussion Section: Thursdays, 6:30—8:00 pm, ISB 235

Office hours: 10:00 am to noon on Thursdays

 

Textbook:  Introduction to Electrodynamics, D. Griffiths, 3rd Edition.

 

Week

Dates

Topics

Reading

Quiz/HW

1

Jan 5

Vector analysis (review)

1.1–1.3

 

2

Jan 8

Jan 10

Jan 12

Curvilinear coordinates, Delta ftn., Vector fields

Electrostatic Field

Electrostatics, Coulomb’s Law, Electric Field

1.4–1.6

2.1

2.2

 

 

#1

3

Jan 17

Jan 19

Charges, Poisson’s and LaPlace’s Equations

Work, Energy, Conductors, Capacitors

2.3

2.4, 2.5

 

#2

4

Jan 22

Jan 24

Jan 26

Solutions to LaPlace’s Equation

Images and Separation of Variables

Separation of variables

3.1

3.2,3.3

3.3

 

 

#3

5

Jan 29

Jan 31

Feb 2

Multipole Expansions

Dielectrics, Polarization, Dipole Moment

Field inside a dielectric

3.4

4.1

4.2

 

 

#4

6

Feb 5

Feb 7

Feb 9

Electric displacement and linear dielectrics

Boundary value problems with linear dielectrics

Energy and Forces on Dielectrics

4.3–4.4.1

4.4.2

4.4.4

 

 

#5

7

Feb 12
Feb 14

Feb 16

Lorentz Force Law

Biot and Savart Law

Divergence and Curl of B

5.1

5.2

5.3

 

 

#6

8

Feb 21

Feb 23

Magnetic Vector Potential, Multipole Expansion

Magnetization; Field of a magnetized object

5.4

6.1, 6.2

 

#7

9

Feb 26

Feb 28

Mar 2

H Field

Linear and Nonlinear Media

Electromotive Force

6.3

6.4

7.1

 

 

#8

10

Mar 5

Mar 7

Mar 9

Faraday’s law and the induced electric field

Inductance

Energy in magnetic fields

7.2.1, 7.2.2

7.2.3

7.2.4

 

 

#9

11

Mar 12

Mar 14

Mar 16

Maxwell’s equations and displacement current

Maxwell’s equations and boundary conditions

No class

7.3.1–7.3.3

7.3.4–7.3.6

 

 

 

12

Mar 21

Final Exam from 4:00 to 7:00 pm

 

 

 

You will be expected to have learned most of the mathematical techniques necessary for this course in Calculus (especially vector calculus) or Mathematical Methods, but we will review the pertinent techniques while working through examples.  The homework in this course should give you ample opportunity to hone your mathematical skills.  You should have learned most of the physics concepts that we will be dealing with when you took Physics 5C or equivalent.  Our main objective here is to learn to deal with those concepts in a more mathematically sophisticated way, both to be able to apply them to more complex problems but also to gain deeper insights into the physics. 

 

Please at least read the relevant sections of the textbook before coming to lecture.  Even better, work through on paper the non-obvious derivations in the text, as that will be more valuable to you than watching me do it.  I think that this textbook is very readable, with good explanations.  If I don’t have to recite to you everything in the text, then that leaves more time for me to work through examples, go over conceptual questions, and perhaps do some demonstrations.  There already is a lot of material in the syllabus, however, so I do not intend to go significantly above and beyond what is in the text. 

 

A set of homework problems will be given out each week, for a total of ten assignments.  The problems will mostly be taken from the textbook but will also include some derivations and maybe some short-answer conceptual questions.  You are welcome to collaborate on the homework, but be sure that in the end you know how to work out each assigned problem by yourself.   You are also encouraged to seek help on the homework, whenever necessary, from myself and the teaching assistant.  While my office hours are the most convenient time for me to meet with you, if you have an urgent question that cannot wait, you are welcome to look for me at other times or else send me e-mail. 

 

Only some of the homework solutions will be collected and graded, as will be noted on the assignment.  But, in addition, we will have a 30-minute quiz each Friday that will be based on the week’s homework assignment.  My intention will be to make quizzes that are easy in case that you’ve done all of the homework, but could be difficult otherwise.  Therefore, the quiz will normally be one problem or pieces of multiple problems, taken verbatim or with only small modifications from the homework, plus in some cases one or two conceptual multiple choice questions taken from the lectures.  There will not be a midterm exam, and the quizzes will count for half of the course grade.  However, your two lowest quiz scores will be dropped from your average.

 

Homework and quiz solutions will be posted online following each quiz.  You are expected to check your own homework solutions to be sure that you learned the material correctly. 

 

Grades and evaluations will be determined from the homework and quizzes, the midterm exam, and the final exam, with the following weights:

·        Quizzes:  50%

·        Graded homework: 10%

·        Final exam:  40%

The final exam will include short-answer conceptual questions as well as problem solving.  The problems generally will not be identical to any of your homework problems, so do not expect the final exam to be like the quizzes.  For practice I will post the exams from last year along with solutions.

 

In addition to the textbook, I recommend the following texts on reserve for your reference:

·        E. M. Purcell, Electricity and Magnetism, Berkeley Physics Course, Volume 2.  This text is mathematically at a somewhat lower level than Griffiths, but you will notice that Griffiths often references the author.  Purcell’s book is well known for its excellent explanations of the physics and mathematics.  One thing to watch out for, however, is that Purcell uses Gaussian units (the same as in the second half of the widely used graduate textbook by Jackson) while Griffiths uses the SI units that you are probably familiar with from Physics 5C or equivalent.

·        M. L. Boas, Mathematical Methods in the Physical Sciences.  Griffiths makes frequent references to this textbook, which covers all of the mathematical methods used in this course.

·        D.A. McQuarrie, Mathematical Methods for Scientists and Engineers.  This is a textbook sometimes used in our mathematical methods course, so it is a good alternative to Boas.

·        The Feynman Lectures on Physics, Volume 2.  This treatment is generally at a lower level of mathematical sophistication than Griffiths, but I highly recommended it for a fresh point of view on the physics and some insights that can lead to a deeper understanding of the concepts.