Accelerated charge Definition and 21 Threads

At first, I derived that: $$\nabla \frac 1{\mu}=-\frac 1{{\mu}^3}\left((1-\beta^2)+\frac{\dot{\vec\beta}\cdot\vec R}c\right)\vec R$$ (dot means differentiation with respect to ##t'##). I assume this result is true because it gives valid result for magnetic field. To find electric field one...

I've been reading Feynman's (classical) derivation of the refractive index and I wonder if there is a more quantum mechanical description in terms of complex number field vectors - one vector for that part of light that goes straight through and another for that part of light that goes through...

I am trying to understand why an accelerating charge emits radiation/electromagnetic waves but a uniformly moving one does not. I saw one video on Youtube where it seemed that it was explained by the fact that with a uniformly moving charge the Poynting vector was pointing 'in to the volume' -...

Point Particle in Relativity and Electrodynamics: “The Classical Theory of Fields” – by Landau and Lifshitz, in its discussion about classical size of a particle, concludes that:- Thus we come to the conclusion that in classical (non-quantum) ‘relativistic mechanics’, we cannot ascribe finite...

Hi, One of the main problems of the Rutherford model is the fact that the electrons are accelerated and hence should lose energy due to radiation. Bohr's model doesn't resolve this, it only postulates that the energy levels are quantized and energy can only be emitted or absorbed by jumping...

I am having a lot of trouble understanding this concept. It seems to be the intersection of many theories: electrodynamics, special relativity, and quantum theory. Classical electrodynamics and quantum theory apparently have two different conceptions of what an EM wave is; in classical...

Sorry to go on about this scenario again but I think something is going on here. Imagine a stationary charge ##q##, with mass ##m##, at the center of a stationary hollow spherical dielectric shell with radius ##R##, mass ##M## and total charge ##-Q##. I apply a force ##\mathbf{F}## to charge...

I have seen on several books that the expression for the E field generated by an accelerated charge, at enough distance and in the non-relativistic aproximation, is something like that (taken from Jackson): where "β with the dot above" is the acceleration divided by c, n is a vector...

Does a uniformly accelerated charged particle radiate em waves? The equivalence principle says that a particle in uniform acceleration is equivalent to a particle at rest in a gravitational field. A particle at rest in a gravitational field is clearly not going to radiate em waves therefore by...

Almost everyone is familiar with the sentence "accelerated charges radiate em waves". Nevertheless, if you are asked to derive this starting from Maxwell's equations, you might find it difficult. Surely the radiation pattern depends on the history of the motion of the charge. Then, there...

If a charge undergoes acceleration it emits electromagnetic radiation. Where does the energy associated with this radiation come from? Thank you very much

I know that an accelerated charge produces a changing electric field and so propogates electromagnetic waves.I want to know the reason or the mathematical reasonings. thanks

I'm asking this question in the quantum physics part because I'd like a quantum related answer. When a charge is accelerated, it will radiate photons. In my belief, it must radiate continuously as long as it's accelerated. Maybe I'm getting a wrong picture. Imagine an electron moving...

Hi All Suppose an electron is orbiting (in classical sense) a proton at a given distance (compatible with, i.e., less than the experimentally determined value for atomic radius of Hydrogen). Let's call this initial distance R3. From classical view point this orbit has a well defined frequency...

I would need to know what is the state of the art about the study of the radiation emitted by an accelerated charge. According to classical EM theory, does a uniformly accelerated charge emit radiation? Or is the radiation proportional to the 3rd time derivative of position (so that a...

Its well known that an accelerated charge emits electromagnetic radiation. Then why the orbiting electrons in atom merge in nucleus after some time.

we know the total power of radition Radiation from an Accelerated Charge is p=2/3 (k e^2 a^2)/c^3 but what is the frequency of such radiation? and is that for the all observers the same?

This thread discusses an interesting point Jonathan Scott brought up at https://www.physicsforums.com/showthread.php?t=264782&page=2. A naive application of the equivalence principle (EP) would suggest that a free falling charge does not radiate, and that a charge on the surface of the Earth...

One thing which is not clear to me in Bohr's model of hydrogen atom, that if accelerated charge radiates electromagnetic waves or radiations,then why in atom electron being a chrged particle retains its energy and rotates in specific orbits. with regards

Here's a question I asked in the Introductory Physics forum that went unanswered. I'm trying it again in a different forum because I'm really curious about this. Why do we say that electrons emit an electromagnetic wave when they accelerate but not when they travel at constant speed? In other...

An electron is initially at rest. At a time t1 = 0 it is accerated upward with an acceleration of 10^18 m/s^2 for a very short time (this large acceleration is possible because the electron has a very small mass). We make observations at a point A, which is 15 meters to the right of the...