Kapanadze and other FE discussion

[Smudge]

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.

Yes and those energies are not given by the usual LI²/2 or CV²/2 if C and L are non-linear.  To see that you only have to chart flux v. current or charge v. voltage to establish the area that defines energy is not triangular.  If you don't want to do it graphically you need to do it by integration and that integral cannot assume that L or C is constant.  I stand by my paper, Gorchelin is in error.

[SolarLab]

What happens if "everyone" is right?  It sure could/would create a complex "stew!" So to speak.

I think that is what Gorchilin used, at least that is what he did in the past.

MathCAD Express (student) - free forever:
https://www.ptc.com/en/products/mathcad-express-free-download 

[SolarLab]

So, now I ask whats the interactive relationships of an Induced Electric Field, a Magnetic Field and Current? 

Does this explaination, taken from nature, make any sense? 

Induced voltage is an electric potential created by an electric field, magnetic field, or a current. The induced 
voltage in natural and man-made material is carefully planned in many disciplines, including safety and 
equipment protection. 

Field-induced voltage is created by either an electric or magnetic field. A voltage-induced electric field is 
when a capacitor or condenser is charged with a direct current and a positive charge on one plate and a 
negative charge on the other plate are induced. The same capacitor will have a voltage across its 
terminals, and this is field-induced voltage. In voltage alteration, the resulting current flow changes voltage 
level. When lightning discharges a cloud formation, the extremely high voltage that has previously caused 
the lightning decreases to a certain level determined by air and ground conditions. 

This voltage may further create a magnetic field, thus it may be referred to as an induced voltage magnetic 
field. When lightning hits the lightning arrestor on top of a radio tower, the current surge travels toward the 
ground on the grounding cable. This current generates a transient magnetic field that may induce a voltage 
on any nearby conductor. The transformation may recur as extensively as the intensity of the original energy 
allows. This may suggest why the damage to equipment due to current and voltage surges during lightning 
storms can be extensive.

[tinman]

If the coil is open and there is no magnetic flux, there is no induced voltage.
I rephrase:
the induced voltage is the integral of the electric field along the circuit of the inductance and this integral is the corollary of the variation of the magnetic flux through the circuit surface. It is not even a question of physics but of pure math once the magnetic field has been defined as the curl of the vector potential A, and the electric field as E=-∂A/∂t. See the Stockes theorem applied to the magnetic field.
∮A.dl = ∫∫dS.(∇xA) (A, dl, ∇, dS being vectors)

You see the electric field on the left through the vector potential, and the magnetic field on the right in the curl of A. The two equations are strictly equivalent.  [induced electric field along the circuit]  <=> [flux of the magnetic field through the circuit surface]. One can't exist without the other.

Ah,perhaps we are not looking at the same thing here.

If an open coil is exposed to a changing electric field,then an emf will be produced across that coil.
This is what i am stating.

There need be no magnetic field to induce an EMF across two points.But when an EMF exists across two points,then an electric field also exists.


Brad

[arhitrade]

Yes and those energies are not given by the usual LI²/2 or CV²/2 if C and L are non-linear.  To see that you only have to chart flux v. current or charge v. voltage to establish the area that defines energy is not triangular.  If you don't want to do it graphically you need to do it by integration and that integral cannot assume that L or C is constant.  I stand by my paper, Gorchelin is in error.

Differentiation for nonlinear circuits is not a good method. It is better to use the integration and some mathematical techniques that allow you to bypass difficult places. This makes Gorchilin.