I've been reading about the form of the energy momentum tensor for a polarizable medium in electromagnetic fields and i'm not sure if there is a scientific consensus on its form. Starting from the series of papers by Kluitenberg in the 1950s to works by Israel and Dixon in the 70s... various...
Hi.
I was surprised when I first read that there's quite a couple of unsolved problems in classical electrodynamics, such as the Abraham–Lorentz force. I have a couple of questions about that:
Do those difficulties only appear for exact point-like particles? Do they all vanish with continuous...
Okay I’m assuming I have to use √1- v^2/c^2 multiplied by some coefficient of length but I don’t understand any of this and could really use help understanding the process and/or reference material that might point me in the right direction
I've been doing some research on the topic of radiation reaction force/self force in classical electrodynamics and although there are some discussions on the internet I would like direct answers to these following questions:
Is there a rigorous and universally accepted treatment of radiation...
The charge of an isolated system is conserved.
This implies the charge of the universe is constant.
This implies that charge can neither be created nor destroyed.
This implies that the net positive charge and the net negative charge of the universe are conserved. Is this right?
When you write out the equations of motion for a system of two isolated charges, you can add both of the equations and get the increase in the particles linear momentum on one side. On the other side, you get the sum of all the forces between the particles. I understand that this sum of forces...
Summary:: What calculus books do you recommend? Does Thomas Calculus include all the calculus topics?
Hi! I'm a 10th grader and preparing for physics olympiads. I'm planning to learn calculus this summer, i self learned prior required topics before calculus (trigonometry, logarithm etc.) ...
Generally, energy is ##U=9\times 10^{9} \times \frac{5\times 10^{-6}30\times 10^{-6}}{2+(10+20)\times 10^{-2}}=0.5869 J##
<br/>
After touching, they have charges
##q_1 and q_2 = 35\mu C-q_1##
##\frac{q_1}{10}=\frac{35\mu C-q_1}{20}##
I was wondering where 1/10 and 1/20 coefficients come...
Hello everyone,
I recently completed kleppner and kolenkow classical mechanics book. Next I am going to learn Electrodynamics. My brother is a EE major and he gave me his copy of "principles of electromagnetics" Matthew Sadiku 4th edition. But a lot of people here recommend Griffiths. So,
1.)...
So I have a ring(red) of uniform charge ##\lambda## per unit length, and I want to calculate the electric potential at the origin (actually on any point of the ring). It is clear that the ring is given by the equation $$r=2 R \sin \theta$$, in polar coordinates, where R is the radius of the...
Consider two massive charged objects at rest with a large horizontal distance ##d## between them (object ##1##: mass ##m_1##, charge ##q_1## and object ##2##: mass ##m_2##, charge ##q_2##).
I apply a constant vertical force ##\vec{f_1}## upwards to object ##1## so that it gains an acceleration...
I've just found a recent very interesting and very modern textbook on classical electrodynamics. It starts with special relativity (rather than electrostatics) and contains a lot of high-energy topics, including renormalization (within classical realm), massive vector fields, gravitational...
In this thread I gather my questions concerning derivations in the textbook of equations and of solutions to the exercises.
I hope every student and professional will benefit from this thread.
I'll start in the next post.
I am not sure what does Jackson want to talk in section 9-6?
Is that just a review of something discussed previously?
Chapter 9 is talking about radiation, and later about multipole expansion.
Hello,
I have already studied Griffith's book, Intro to Electrodynamics.
However when I try Jackson's book, I find it a bit hard for me.
My question is, what Maths and Physics texts (or specifically, chapters of texts) do you recommend, so that I would be best prepared for a graduate course in...
Homework Statement
suppose every charged particle carried electric and magnetic charge in the universal ratio Gk/Ek=a. is there another way of looking at this situation in which we would be unaware of magnetic charge?
i am currently reading griffith's book on electrodynamics, though he does an excellent job with the theory (along with all the sloppiness in math) he does not really answer the question, how well does this theory apply to the real world.
i know Newton's theory is valid at v<<c, however in...
Author: John David Jackson
Title: Classical Electrodynamics
Amazon Link: https://www.amazon.com/dp/047130932X/?tag=pfamazon01-20
Prerequisities:
Contents:
In his Nobel lecture Feynman describes an electrodynamic action between a set of particles (equation 1, one third way thru lecture):
http://www.nobelprize.org/nobel_prizes/physics/laureates/1965/feynman-lecture.html
The action is in 4-vector form.
I wonder if someone could do me a favour and...
It seems to be a dumb question. But I haven't seen anyone making this connection between QED and Classical EM in a complete fashion. The only example I've seen is the connection between two particle scattering amplitude calculation in QED (Peskin's book), and the amplitude of a particle...
Hello everyone,
I was wondering about the following question:
Under what condition(s) could one say that the interaction between an electron and an electromagnetic wave is not governed anymore by the laws of classical electrodynamics?
I would also be glad if someone could point out any...
I'm trying to understand how one derives the relativistic treatment of the electromagnetic interaction from the classical one and which are the extra postulates made. We can start from Maxwell's equations and the Lorentz force. From the Galilean invariance of Newton's second law of motion...
I do not know but I do not know if Ampers law is valid for short conductors passing through a loop. I did integrate and my integral was different from the expected I*U. The law seems to be valid only when long conductors pass through a loop but not short ones. Can anyone explain what am missing?
Hi all,
I'd like to improve my understanding of classical electrodynamics, but as a UK PhD student my time for self-study is pretty limited- we don't make much time for general physics education at a graduate level. I was wondering if someone could recommend a short path through Jackson's...
The title may be a bit vague, so I'll state what I am curious about.
Since complex field is 'extension' to the real field, and in electrodynamics we use things like Stokes theorem, or Gauss theorem, that are being done on real field (differential manifolds and things like that, right?), can...
Homework Statement
You can find the problem in Jackson's Classical Electrodynamics 3rd edition. Chapter 10.19.I already calculated the transmission coefficients, but mine are fourth of those given by Jackson. I do not know why.
My calculation is based on Problem 10.18. I use dipole moments...
I was told by a friend that I need to study Complex Analysis, Introduction to Analysis on top of PDE.
My highest level of math is only PDE. I want to know what other math topics I need for self study in JD Jackson. I know people go to school will have instructor teaching the math in the...
Hey all, just wondering if there is some consensus on which topics, covered in Jackson's Classical Electrodynamics (3rd ed), are the most relative to advanced studies in physics - e.g., quantum mechanics, the various field theories, relativity, symmetry and so on...
I'm not looking to skip...
I was wondering whether any members of this PF sub-forum would help me towards some physical interpretation of Maxwell’s time-dependent equations, which must ultimately underpin any classical description of EM wave propagation. I know that some might simply suggest reading a good textbook, but I...
Is there a derivation for the classical electrodynamic Lagrangian? I have taken a look at a few textbooks that I have on hand but all of them just state the Lagrangian (in the voodoo four-vector talk, \glares) without explaining the reasoning behind it. I know that the Lagrangian for a charged...
Homework Statement
The question given is an electromagnetic wave incident on a vacuum metal interface. The wave is incident normally. We're given that the metal is a good conductor i.e. \omega \tau <<1 where \tau is the collision time of the metal and omega is the angular frequency. The metal...
On the Z=0 plane the charge distribution is of the form
\rhos=\rho0 sin( \alpha x )sin( \beta y )
find the potential everywhere, assuming that \phi(z\rightarrow±\infty)=0
according to the answer, we should look for a potential of the form
A sin( \alpha x )sin( \beta y )f(z)
(due to the...
Hello,
I don't fully understand the meaning of Green function, and how one should use it. According to Jackson's "Classical Electrodynamics" - 'the method of images is a physical equivalent of the determination of the appropriate F(x, x') to satisfy the boundary conditions'.
Where Green...
Homework Statement
Hi to everyone! I would like you to help me for a problem of classical electrodynamics. I have to study the relativistic motion of a charged particle in a coulombian field with center in the origin of the cartesian axes. I have to study the case in which the initial...
The short version:I'm taking Classical electrodynamics this semester, I found out that I have this book:
Classical Electrodynamics by J.D.Jackson
Anyone know this book?Would it be a good choice to help me study?
Chapter 7 of Jackson's Classical Electrodynamics
Well I've been up for a few hours, and here I am at night, midway through swimming the brisk cold English channel that is chapter 7 of Jackson's Classical Electrodynamics (my first problem set is due Wednesday - six problems), and... well, just...