In this case the detail are relevant. This thread is about Derek's thought experiment that has all to do with the details of what happens in the first handful of nanoseconds in the circuit. You are free to ignore the details, but then why do you insist in hammering that square peg into this round hole?
I think the original idea was to see what happens over a period of seconds (Derek) or microseconds (AlphaPhoenix) and how the fast the initial (nanoseconds) response was compared to the longer-term response of the full circuit. I don't see any evidence that either of them intended to get bogged down in the minutiae of the exact picosecond-by-picosecond analysis of that initial EM-mediated behavior. The story was simply that there was 'some' response in a time of about d/c.
Yeah, that's the whole point of Derek talking about energy to be transferred via the fields and not by the motion of the charges inside the conductor. Some energy gets to the load after d/c seconds (where d is the width of the circuit) and waaaaay before 2L/c seconds (where L is the half-length of the circuit) exactly because energy is carried by the fields.
And I'm not advocating picosecond by picosecond analysis, but what is debated here happens right after d/c when the fields hit the load.
Some people have proposed some (necessarily) simplified models including the transmission line. In fact, the physical experiments seem to me to indicate that this is a pretty good starting point. So are you here simply to yank Dave's chain about every grievance and supposed 'errors' that you have sniffed out or do you have something worthwhile to add?
Well, I linked Ben Watson's simulation. So far the best youtube video made by someone who knows what is talking about on the matter.
I also tried to explain why the dual transmission line model cannot let you see correctly what happens in the first nanoseconds because it's literally zero dimensional in the transverse direction.
Look at Ben's simulation: do the two legs behave like ordinary transmission lines? Shouldn't you be seeing a symmetric red-.green aura going back and forth along the top and bottom conductors? While in this circuit the red-green aura travel along the bottom conductors first (whith a faint ghost on the top one) and then gets back on the top one? In my eyes this is a radically different behavior that tells me that field simulation is the way to go.
Are you here to beat up on poor Kirchoff some more (what did that guy ever do to you?) or can you perhaps expand on, defend--and quantify--your assertion that current can flow in the load but not be observable to an oscilloscope connected across the terminals of that load?
Kirchhoff is an absolute giant. I have the utmost respect for him, Weber, Neumann. But one must know the limits of applications of the tools he gave us. If current begins and ends before the probe tips are placed, or if the transient is too short lived to propagate to the internal resistance of the scope without being distorted and potentially cancelled by other fields coming from other parts of the circuit, there is no guarantee you can see what happens inside the resistor.
Circuit theory is a beautiful fairy tale where Prince Charming always saves the damsel in distress. I mean, where currents and voltages behaves in an ideal way. In the real world the damsel can leave the tower on a motorbike with the Black Knight.
Imagine Ben Watson's simulation with the complexities of an oscilloscope rig complete with probes attached to the load side. I don't know if the current in the scope internal resistance will replicate, even at a later time and rescaled, what happens inside the load resistance. I would need to run the simulation for such a short lived event.
Of course, you can model it with zero-dimensional transmission lines and get the same exact behavior instantaneously, if you like.
But is that what
we some ok, at this point I guess I'm the only one interested in what actually happens.