Lecturer: Masud Haque (haque@thphys.nuim.ie)

Lectures and Tutorials

The lectures are on Tuesdays, 11:05 PM, Physics Hall, and Fridays, 11:05, Physics Hall.

There are two tutorials every week, with the same content. (You
can attend whichever is more convenient.)

Thursdays, 2:05, Hall A (Arts Block); Fridays, 1:05, Hall C (Arts Block).

The tutor is Adam Tallon. Email: adam.tallon.2015@mumail.ie

Office: Room 1.6 in the Theoretical Physics Dept.

During tutorials the tutor will discuss solutions to some of the assignment problems.

Problem sets

Problem set 03. Due tuesday February 25th, 5:30PM.

Problem set 02. Due tuesday February 18th, 5:30PM, in MP204 drawer near entrance of Dept.

Problem set 01. Due tuesday February 11th, by the end of the working day (5:30PM), in the MP204 drawer near the entrance of the Theoretical Physics Dept.

Problems 3 and 4 in this problem set involve finding the total
charge of objects from the linear charge density or from the surface
charge density. This will require breaking up the object into
infinitesimal pieces and then adding up the contributions of each
piece, which amounts to an integration. We will have to do variants of
this procedure many times during this module; so please practice until
you are fully comfortable.

The relationship between charge density and total charge is the
same as that between the usual (mass) density and total mass. For
guidance, you could try

this
video,
this
video,
this discussion,
these notes.

Material covered in Class

I will point to relevant chapters in
Prof. Nash's Notes and
in
Vol. II of the Feynman lectures (referred to as Feynman II below).

Of course, equivalent material is available in many other textbooks,
or in online material such as those linked to further down on this page.

Continuous charge distributions. In class, we worked out how to calculate the potential and the electric field due to a continuous distribution of charge by first calculating the contribution due to an infinitesimal element and then integrating (``adding up''). This is an important technique which will recur throughout this module; please make sure you are able to set up integrals like this yourself.

Coulomb's Law, Electric Fields,
Electric Potentials.
Chapter 1 of Nash-notes. The introduction to the electric potential
in Nash-notes Chapter 1 Section 3 is more detailed than we had time
for in class; you might want to read this carefully.

In Feynman lectures Vol. II, you will find similar material
in the first 4 sections of Chapter 4.

Overview and Background.
In Feynman lectures Vol. II, Chapter 1 gives an overview of what we
will learn this semester.

Chapters 2 and 3 introduces grad-div-curl and vector integration.
You are supposed to know most of this material already. Working
through them will be a great help for MP204.

Prerequisite: Vector Calculus

This module requires you to be very familiar with Vector Calculus. You should be comfortable with grad/div/curl, Stokes' theorem and the divergence theorem, and of course vector addition and components.

If you need a review, you can try working through some of the following. I strongly suggest making time to do this at the beginning of semester.

- Some of the problem sheets (or past exams) of MP201.
- Feynman lectures Vol. II: Chapter 2 and Chapter 3.
- This review, especially the exercises.
- This review.
- Some practice problems from the latter sections of this online review of multivariate calculus.

Important equations of electromagnetism

Here is a list of the main equations and results we encounter in MP204.

Material, sources

Lecture notes from a previous lecturer

MP204 lecture notes of Prof. Charles Nash --- this is roughly the material to be covered in the module, with some additions. It is recommended that you work through these notes, and in addition spend significant time working through at least one textbook.

Textbooks

There are many, many textbooks on introductory electromagnetism or electrodynamics. You are strongly encouraged to read through one or more textbooks.

In particular, I suggest working through the *Feynman
lectures* (Volume II), which are free to read on this website. The material we
will cover in MP204 is mostly contained within the first 20 chapters
of Volume II. (Specifically: Chapters 1, 4--6, 13--18, 20.) This
will be very close to what we will cover. However, the material is
very standard and you will find the same topics in many other texts.

Other texts:

- Fleisch,
*A Student's Guide to Maxwell's Equations*.

Student-friendly, as the title suggests. - Griffiths,
*Introduction to Electrodynamics*.

Slightly more advanced than the level of this module, but reading through this text and working out exercises is very worthwhile. - Purcell & Morin,
*Electricity and Magnetism*.

Slightly more advanced than the level of this module. - Edminister & Nahvi,
*Schaum's Outline of Electromagnetics*.

Many worked-out examples. - Panofsky & Phillips,
*Classical Electricity and Magnetism*. - Grant & Phillips,
*Electromagnetism*. - Shankar,
*Fundamentals of Physics II: Electromagnetism, Optics, and Quantum Mechanics*.

Material available online:

Lecture notes from various places.

Of course, I didn't check in detail for correctness and/or how
closely these notes are aligned to the matter we cover in MP204, so
please use at your own discretion.

Please let me know if any of the links don't work.

- Notes from DAMTP Cambridge.
- Notes from Duke University.
- Notes from Hong Kong.
- Notes from Oxford, 2009.
- Lecture Notes from Ohio State Univ.
- Notes from Univ. Rochester.

Practice Problems

- Problem bank (``problem set 12'')

This is marked as `Problem set 12', but it is really a large collection of problems covering all the module material.

Should be useful for practice and for learning the material more thoroughly. - Many of the textbooks have collections of problems and
worked-out exercises.

In particular, the textbook by Griffiths and that by Purcell & Morin both have large numbers of excellent exercises and problems.

Notation

We use SI (also called MKS or MKSA) units. Note that many equations look quite different when written in Gaussian (or CGS) units. When reading a textbook, be sure to watch out for which units that text is using.

Notations vary. I will mostly try using the same notations as in Prof. Nash's notes, but will not always succeed. You anyway need to be able to read and learn from multiple sources using different notations for the same physical quantities.

Solutions to previous exams + Sample Exams

Below is a sample exam for practice.

Below are solutions to some past exams.

(The length
of exams has changed since 2017.)

Below are old sample exams for practice. They are in the style of previous (2017-2018) exams. The 2018-2019 exams may be structured differently, but the material covered and the level of difficulty should be similar.