thank you for your lovely lectures (I wish there was such a video for perturbations in cosmology!). I have 2 questions regarding your video. 1) Do electrostatic signals move with the speed of light? for example, suppose we bring 2 electric charges together and fix them in their location. when they will be aware of each other? simultaneously? or it depends on their separation distance? 2) How coulomb gauge (and even Lorentz gauge) doesn't change B and E? Or putting it another way, what is the "lambda" in these equations? (lambda was the scalar function that we add to vector potential)
1) When a charge moves, other charges will be affected after a delay, because it takes time for the signal to propagate. As a consequence of special relativity, the maximum speed of propagation is c. The effect is not instantaneous. 2) The E and B fields can be written in terms of the scalar and vector potentials. The scalar field lambda allows us to transform between different choices of scalar and vector potentials. It is like choosing the 0 of a potential energy function. The choice has no physical significance, but it can make the equations easier to solve.
Hello! Great video series with great enthusiasm and clarity! I learnt a lot. I have one questiom though - can you mix between the coulomb and lorentz gauge? To first find phi with the coulumb gauge for example and then with that phi solve a lorentx gauge equation? Also - when is appropriate to use the Lorentz and Coulumb gauge respectively? How do you know which one is the right one to use? /Jakob
thank you for your lovely lectures (I wish there was such a video for perturbations in cosmology!). I have 2 questions regarding your video.
1) Do electrostatic signals move with the speed of light? for example, suppose we bring 2 electric charges together and fix them in their location. when they will be aware of each other? simultaneously? or it depends on their separation distance?
2) How coulomb gauge (and even Lorentz gauge) doesn't change B and E? Or putting it another way, what is the "lambda" in these equations? (lambda was the scalar function that we add to vector potential)
1) When a charge moves, other charges will be affected after a delay, because it takes time for the signal to propagate. As a consequence of special relativity, the maximum speed of propagation is c. The effect is not instantaneous.
2) The E and B fields can be written in terms of the scalar and vector potentials. The scalar field lambda allows us to transform between different choices of scalar and vector potentials. It is like choosing the 0 of a potential energy function. The choice has no physical significance, but it can make the equations easier to solve.
Great video! greetings from Kazakhstan! :DD
you are going to save my next ED exam thank you !
Your work is perfect. Congrats!!
thanks ! i wish there was a video on pontying theoreom
Very nice playlist. The one thing missing is (a derivation of) the electromagnetic field tensor.
Yours explanation is daam good
Great video! greetings from Mexico! :DD
Great explanation
I wish there would be more of it like em waves in different media and boundary conditions and all that....
Thanks anyways
Hello! Great video series with great enthusiasm and clarity! I learnt a lot. I have one questiom though - can you mix between the coulomb and lorentz gauge? To first find phi with the coulumb gauge for example and then with that phi solve a lorentx gauge equation? Also - when is appropriate to use the Lorentz and Coulumb gauge respectively? How do you know which one is the right one to use?
/Jakob
Wow! Subscribing your channel ❤️
Wow, you are amazing
Can you recommend me a good book for studying electrodynamics ?!
god