The bifilar pancake coil at its resonant frequency

[SolarLab]

Found one interesting "take" on displacement current:

Displacement Current Articles

Wireless World Magazine

Dec 1978 - Displacement Current page 51
https://worldradiohistory.com/UK/Wireless-World/70s/Wireless-World-1978-12.pdf

Mar 1979 - Further explaination of an earlieer article - The history of displacement current page 67
https://worldradiohistory.com/UK/Wireless-World/70s/Wireless-World-1979-03.pdf

Articles are found in the Wirelessworld archive:https://worldradiohistory.com/Wireless_World_Magazine.htm

The distributed model lends itself to the rising edge of the pulse behaviour.

SL

[SolarLab]

Here's a little teaser from the articles above:

"In fact, if this dD/dt were regarded as a current, far from saving the doctrine, it would
destroy it, because now more current  (i + dD/dt) would be leaving the first section of
the plate BB' than was entering it."

[Dog-One]

So capacitors are actually transmission lines.  Interesting...
Especially since transmission lines incorporate capacitors.
Says a lot about the fractal nature of our world.

[SolarLab]

So capacitors are actually transmission lines.  Interesting...
Especially since transmission lines incorporate capacitors.
Says a lot about the fractal nature of our world.

Well, unfortunately, there's a bit more to it than that!

The actual analysis, even of a simple capacitor, is more complex when considering it's
circuit implementation and it's application.

An analytical (mathematical formulas) analysis works for relatively simple applications using
a signal generator and scope or meter; however for more complex applications usually a
numerical analysis (CAE) and a Vector Network Analyzer (VNA) are needed.

One good VNA for low frequency work (1 Hz to 50 MHz) is the Omicron Lab BODE 100:
  https://www.omicron-lab.com/products/vector-network-analysis/bode-100

Check their web site for some excellent Application and Tutorial subject matter.

Also, "evostars" [Master Ivo] youtube page has some great videos on this stuff, including a series
relating to Tesla Coil VNA analysis.
https://www.youtube.com/@MasterIvo/playlists

SL

[sm0ky2]

So capacitors are actually transmission lines.  Interesting...
Especially since transmission lines incorporate capacitors.
Says a lot about the fractal nature of our world.

if you consider the minute length of the plates, it can be analyzed this way.
in the way you could suppose a capacitor is also a transformer.


I think the point of the overall view was that we can take the current through the circuit,
without having to consider the electric field interaction with the other plate/transmission line.


I don't agree with this viewpoint, personally.
This works if the only thing you are looking at is the current through the plate.
However, when observing the circuit as a whole there is an inductance and an impedance to deal with.


and also at lengths greater than the distance between them:
there is phase
due to the e-field arriving at the other plate before the current travels the entire conductor.
in a very real way, current can begin to flow through C before it has traveled the length of B-B


measuring current from the source will provide more accuracy than measurements taken along the length of B-B. Here we see the induction at C causes more current to be drawn.