Kapanadze and other FE discussion

[Smudge]

https://en.wikipedia.org/wiki/RLC_circuit
Pay attention to "Series RLC circuit".

That whole treatise is for linear circuits where R, L and C are linear.  Gorchelin is not dealing with linear circuits.  If you follow the link on that wikipedia page to "linear circuits" you will find the following statements.

Because they obey the superposition principle, linear circuits are governed by linear differential equations.......

In contrast, nonlinear circuits usually do not have closed form solutions. They must be analyzed using approximate numerical methods by electronic circuit simulation computer programs such as SPICE, if accurate results are desired.

The behavior of such linear circuit elements as resistors, capacitors, and inductors can be specified by a single number (resistance, capacitance, inductance, respectively).

In contrast, a nonlinear element's behavior is specified by its detailed transfer function, which may be given by a curved line on a graph. So specifying the characteristics of a nonlinear circuit requires more information than is needed for a linear circuit.

I too hope the topic of the error is closed.

[Belfior]

Well which is it? Rate of change of E or H field? Then we can proceed talkin about open coils, which I pulse and get induced voltage on L2. The same way I circumvent Lentz law. Originally I thought Faraday was talking about the rate of change around a conductor. People think this is a coil of wire. It can be any conductor. Like gas in a tube or salt water

[arhitrade]

Smudge, equations with nonlinear elements are composed exactly the same as with linear ones. But their decision - here you are right - can not be analytical. But Gorchilin does not solve them anywhere, and only considers the energy of the constituent elements.

[F6FLT]

A solution can also be analytical in non-linear cases, but only in simpler cases.
What we do know is that the fundamental equations are valid all the time when we take the instantaneous values (with some precautions), e. g. B(t)=µ(t).H(t) or I(t)=d(C(t).U(t))/dt...

[F6FLT]

... if I pulse a coil before the magnetic vortex starts explain that, or if I use a caducous wound coil the magnetics is canceled out! or if I block the magnetic field with dielectric charge Leny boys low no longer applies.

The current and the magnetic field are the same reality. The magnetic field grows with the current, i.e. when charges move. It's also easily explained by relativity, just a question of relative motion between charges.

The magnetic field is never cancelled everywhere space, it's just that you're not looking in the right place.
Please, spare us your over-simplifications.

Your talking conventional theory, that no longer applies here.  Ilke it or not!

It applies everywhere except in the imaginary realm of beliefs.