*"I have also a paper afloat, with an electromagnetic theory of light, which, till I am convinced of the contrary, I hold to be great guns."*

Welcome to Physics 351! In this class we will study charges, currents, electric and magnetic fields, and their interactions. Much of the physics is expressed in a single, remarkable set of equations

\begin{gather} \vec{\nabla} \cdot \vec{E} = \frac{1}{\epsilon_{0}} \rho \vphantom{\frac{\partial\vec{B}}{\partial t}} \\ \vec{\nabla} \times \vec{E} + \frac{\partial\,\vec{B}}{\partial \,t} = 0 \\ \vec{\nabla} \cdot \vec{B} = 0 \vphantom{\frac{\partial\vec{B}}{\partial t}}\\ \vec{\nabla} \times \vec{B} - \mu_{0}\,\epsilon_{0}\,\frac{\partial\,\vec{E}}{\partial\,t} = \mu_{0}\,\vec{J} \end{gather}This formulation of electromagnetism is due primarily to the Scottish physicist James Clerk Maxwell. His equations, in one form or another, describe phenomenon ranging from the propagation of light to the deflection of a compass needle by a magnetic field.

James Clerk Maxwell (1831-1879)

The impact of Maxwell's equations extends well beyond electromagnetism: the Theory of Special Relativity is secreted away inside them, and they are the prototype for a unified description of the basic forces of Nature.

## Syllabus

Basic information about our schedule, homework assignments, grades, and more can be found below. Click here to download a pdf version of the full syllabus. The syllabus has more detailed information, and you should be familiar with the policies and rules it describes.

## Fall 2023 Schedule

We will cover most of the first seven chapters of the textbook, along with parts of chapters 8 and 9. The table below is an estimate of how we'll spend our time.

Week | Dates | Chapter |
---|---|---|

1 | August 28, 30; September 1 | 1 |

2 | September 4, 6, 8 | Labor Day; 1, 2 |

3 | September 11, 13, 15 | 2 |

4 | September 18, 20, 22 | 2 |

5 | September 25, 27, 29 | 3 |

6 | October 2, 4, 6 | 3, Exam 1 |

7 | October 9, 11, 13 | Fall Break; 3 |

8 | October 16, 18, 20 | 4 |

9 | October 23, 25, 27 | 4, 5 |

10 | October 30; November 1, 3 | 5 |

11 | November 6, 8, 10 | 5, 6 |

12 | November 13, 15, 17 | 6, Exam 2 |

13 | November 20, 22, 24 | 7; Thanksgiving |

14 | November 27, 29; December 1 | 7, 8 |

15 | December 4, 6, 8 | 9 |

16 | December 11 | Final Exam (9-11am) |

Please keep in mind that *these dates are subject to change*. This is the absolute minimum that we have to cover. But if you are engaged and active in class we can go faster and cover additional (and interesting!) material besides what is listed here.

## Assignments

Homework is assigned each week (except for exam weeks) and collected the following week. With the exception of the first few assignments it will usually be due on Monday at the beginning of class. That way you can ask questions during our Friday discussions.

Only some of the problems from each assignment will be graded. I won't tell you which ones, so you need to complete all the problems. We will talk more about how this works in class. Current and past assignments are listed below. Solutions are available for some (*not all*) problems, but they are not available for download. Please stop by my office if you'd like to see the solutions for a particular assignment.

Working with your classmates on these assignments is encouraged! But you should only hand in work that you've completed on your own. If your solution looks just like someone else's work then you need to go back and redo it from scratch. If you can't explain each step of your solution then you haven't completed the problem on your own. Remember: the only way to be ready for the exams is to do the homework yourself.

*Warning*

Never, ever hand in an assignment that has been copied from a solutions manual. You won't learn anything that way, and it will earn you a grade of zero for that assignment. If it happens more than once it will be reported to the Department Chair and the Dean. Consider yourself warned. Click here to see the College of Arts and Sciences Statement on Academic Integrity.

## Grades

Grades in the course are primarily determined by homework assignments and exams. The weekly homework grades contribute 35% of your final grade in the class, and two exams (on October 6 and November 17) count 15% each. A cumulative final on Monday, December 11 (from 9-11 AM) is worth 30%. The remaining 5% depends on attendance and participation. Asking questions, taking advantage of office hours, and attending both lectures and discussion sections will earn you the full 5%. Check the pdf syllabus for more details.

## References

The main text for the class is *Introduction to Electrodynamics* (4th Ed) by Griffiths. The tone of the book is casual and most students find it very accessible. When I was an undergraduate I used the the books by Wangsness and Purcell. Those texts might be useful if something in Griffiths isn't clear. A more advanced treatment is given in Jackson's *Classical Electrodynamics*, which is the text for practically every graduate E&M course.

*Introduction to Electrodynamics*

David J. Griffiths

*Electromagnetic Fields*

Roald K. Wangsness

*Electricity and Magnetism*

Edward M. Purcell

*Classical Electrodynamics*

J.D. Jackson

Griffiths' book has a very complete (for our purposes) discussion of vector calculus as it is used to describe electricity and magnetism. If you'd like to see additional discussions of this material, I recommend the math methods book by Boas, and also the book by Riley, Hobson, and Bence. For a more advanced treatment refer to Arfken and Weber.

*Mathematical Methods in the Physical Sciences*

Mary L. Boas

*Mathematical Methods for Physics and Engineering*

K.F. Riley, M.P. Hobson, and S.J. Bence

*Mathematical Methods for Physicists*

George Arfken and Hans Weber

The Feynman Lectures on Physics, which include a few nice discussions about some of the things we'll talk about in class, are available online. There should also be a copy of the lectures in Isaac & Al's.

From time to time I may supplement the material from the book with my own notes, which will be posted below.

## Lecture Notes

The full set of lecture notes is available on Sakai, organized in the "Lecture Notes" folder under the "Resources" tab. Click here to access the notes.

## Notes

Examples of Line, Surface, and Volume Integrals

A very quick and very rough review of line, surface, and volume integrals with several examples. The part on volume integrals isn't finished, but the stuff on line and surface integrals is there.

Orthogonal Coordinate Systems

Vector Calculus

A review of orthogonal coordinate systems and vector calculus for students who did not take my Phys 301 (Math Methods) course.

This is a basic review of line integrals – what they are, how to evaluate them, etc. It may be useful if you're a little rusty on this topic. The file is big (about 22 MB) because of the various plots. Let me know if you find any typos or mistakes and I will post a corrected version.

## E&M Stress Relief

Sometimes the E&M wears you out, and you need a picture of an adorable little kid doing physics to get you back on track. Not a problem.