Basic requirements to start a course in electrodynamics

In summary: I used Becker and found it very easy and clear to follow.In summary, you would need to be very familiar with vector calculus, understand tensor calculus, and have a good understanding of Maxwell's equations and the general form of Coloumb's law.
  • #1
nearlynothing
51
0
I'm in my third year of undergraduate physics and I'm wondering what i'd need in order to start my course on electrodynamics on my own.

thanks in advance.
 
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  • #2
Electrodynamics is usually taught as a graduate course. You need to be very familiar with vector calculus, and will need some understanding of tensors and tensor calculus. You'll also need some background in special relativity. Also you should really have a good understanding of maxwell's equations and the general form of Coloumb's law.

Take a look at the textbook by Jackson, it's pretty standard for a lot of schools.
 
  • #3
Dear God. You start out with Jackson? Even in a graduate course
using Jackson usually requires the professor to do a lot of professing.
It is, in my experience, the standard but not because it's easy going
more because it's encyclopedic.

nearlynothing, what's your background? Have you had an undergraduate
course in E-M? What text did you use? How did you do? Are you comfortable
with all the math dipole suggested? Third year doesn't mean that much to me.
What are your goals for self study?
 
  • #4
Jackson is a very good book but it's too detailed for the beginner. It can be read for special questions on the side.

For sure for a first lecture, which imho is clearly undergraduate (in Germany it's taught in the 2nd year, or 3rd-4th semester), you don't need all the details on electrostatics before you learn the dynamics. Also relativity is not a must, but indeed a good theoretical exposition of the subject is relatistic, because Maxwell's theory is a relativistic theory.

To start with, I'd recommend the Feynman Lectures, which are elementary but give a very concise physical picture of electromagnetic phenomena, including the relativistic aspects, where a relativistic treatment helps to prevent troubles one usually encounters with oldfashioned textbooks (e.g., the Faraday's disk, unipolar machine/generator, Faraday's and Feynman's disk, etc.).

Another very good book, but more at the level of Jackson and not so much in the main stream way to present things is

Julian Schwinger et al, Classical electrodynamics

There you find marvelous mathematical tricks by a master of the subject (Schwinger did research not only in QED for which he is famous but also in the classical theory, mostly on waveguides).

Two of my favorites, which however have the disadvantage of using the pseudo-Euclidean convention for relativity (i.e., setting [itex]x_4=\mathrm{i} c t[/itex] instead of using the indefinite Minkowski metric on a real four-dimensional affine space) are

A. Sommerfeld, Lectures on Theoretical Physics, Vol. 3 (Electrodynamics) and Vol. 4 (Optics)

R. Becker, Electromagnetic Fields and Interactions

The latter book contains also a nice introduction to the necessary vector analysis on [itex]\mathbb{R}^3[/itex].
 
  • #5
You need to be aware of special relativity, understand electromagnetism and have a basic grasp of tensor calculus.

Griffiths was the perfect book for me. Jackson seemed very hard work and probably best left as a reference/examples book, at least for a beginner.
 

Related to Basic requirements to start a course in electrodynamics

1. What is electrodynamics?

Electrodynamics is a branch of physics that studies the interactions between electrically charged particles and the electromagnetic field. It involves the study of electric and magnetic fields, their generation and propagation, and their effects on charged particles.

2. What are the basic requirements to start a course in electrodynamics?

The basic requirements to start a course in electrodynamics typically include a strong foundation in mathematics, particularly calculus and differential equations. A background in physics, specifically in electricity and magnetism, is also recommended. Some universities may also require students to have completed introductory courses in mechanics and thermodynamics.

3. Do I need any prior knowledge or experience in electrodynamics?

While it is beneficial to have a background in mathematics and physics, it is not necessary to have prior knowledge or experience in electrodynamics. This course is designed to introduce students to the fundamental principles and concepts of electrodynamics, and will cover the necessary mathematical and physical concepts needed to understand the subject.

4. What can I expect to learn in a course on electrodynamics?

In a course on electrodynamics, you can expect to learn about electric and magnetic fields, Maxwell's equations, electromagnetic waves, and various applications of electrodynamics in technology and everyday life. You will also learn about the relationship between electricity and magnetism, and how they are interconnected through the electromagnetic field.

5. How can I prepare for a course in electrodynamics?

To prepare for a course in electrodynamics, it is recommended to review fundamental concepts in mathematics, particularly calculus and differential equations. You can also familiarize yourself with basic principles of electricity and magnetism. Additionally, you can read books or watch videos on the topic to gain a general understanding before starting the course.

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