TSny's latest activity
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TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.The flux through the spherical surface without including ##\partial_t A## is ##(q_o-I_ot)/\varepsilon_o##. The flux of ##-\partial_t... -
TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.I used Mathematica to plot the field. I definitely agree. In the case of opening the switch, you have resolved the apparent paradox... -
TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.This all sounds good. If the current is switched off by opening a local switch, things are quite complicated, as you have very nicely... -
TSny replied to the thread Multiple reflections in a mirror system.Good. Yes, I think so. Your two different graphical solutions with three reflections are very insightful! -
TSny replied to the thread Multiple reflections in a mirror system.Your diagrams appear to show 3 reflections before the rays form an image at S. -
TSny replied to the thread Multiple reflections in a mirror system.How many reflections are you considering? -
TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.If the current suddenly stops, ##\partial_t \mathbf{A}## will no longer be zero everywhere. Immediately after the current stops, there... -
TSny replied to the thread Undergrad Derivation of Hamilton's Principle: Questions.At which point of the paper do you believe the author takes ##\delta \int L \;dt = 0## for granted? The paper starts with d'Alembert's... -
TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.You're not missing anything. When I posted #9, I was apparently missing something - my brain :oldsmile: The magnetic field in my... -
TSny replied to the thread Variable mass system : water sprayed into a moving container.I get the same result. A nice approach is to use momentum conservation in an inertial frame moving with the stream of water. After... -
TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.Yes. That's right. In my example, the electric and magnetic fields at any point are time independent. So, no signal propagation can occur. -
TSny replied to the thread Undergrad Gauss' law seems to imply instantaneous electric field propagation.The potential at the field point ##p## at time ##t## is given by the retarded-time expression ##\phi(r, t) = \large... -
TSny reacted to bluepilotg-2_07's post in the thread Please tell me where I am going wrong in this integral with
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Hello, thank you for the response! I should have known better, but wasn't considering even and oddness. I realize now that the first... -
TSny replied to the thread Please tell me where I am going wrong in this integral.In the second line, the first integral has an integrand that is odd in ##y##. You cannot replace ##\int_{-\infty}^{\infty}## by...








