Re: Secondary Resonance LC and Harmonics

["Tesla list" <tesla@xxxxxxxxxx>]

Original poster: "Malcolm Watts" <m.j.watts@xxxxxxxxxxxx>

Hi Larry and Jared,

On 27 Jun 2005, at 11:53, Tesla list wrote:

> Original poster: jdwarshui@xxxxxxxxx
>
> A dissenting opinion:
>
> (1)
> We have built 1/4 wave, 1/2 wave, 3/4 wave, full wave, 1.5 wave,
> 2wave, and 3 wave coils. All of them using wire length considerations.
> Waves of E.M do in fact travel the length of the wire in an inductor
> in its entirety. (It makes no difference if the wire is straight or
> forms loops enclosing flux). When E.M. waves travel the length of the
> wire both time and distance are manifested.
>
> When LC is matched to wire length both the phase velocity and the
> group velocity of the  E.M. waves  travel at C. When these conditions
> are met we find that true standing wave resonance occurs along the
> length of an inductor.
>
>   Under conditions of standing wave resonance we are guaranteed
> positions along the length of an inductor where impedance goes to
> zero. We have taken advantage of this perfect impedance matching  to
> create half wave coils where one side of the coil has a vastly
> different inductance then the other side. Since both sides of these
> half waves had their LC matched to the same frequency and both sides
> were deliberately  made with the same length of wire we had a viable
> solution.
>
>
> (2)
> Aside from the issue of self capacitance, distinctions between a
> straight wire and a wire wound around a cylinder have very little
> meaning. A straight wire has inductance and when it is wound into
> loops enclosing flux its inductance increases.

Speaking for myself I can't regard that distinction as meaningless
since it makes the resonant frequency of a bare coil differ from that
of a straight wire of the same length. And it is well known that you
can make any coil resonate according to its nwave wirelength by
simply loading it with enough top capacitance. I worked that out for
myself 10 years ago. Tests I conducted following that personal
revelation demonstrated no operational advantage to be gained in so
doing. Perhaps you have conflicting evidence and a recipe to follow
to prove it does?

Malcolm

> We can examine the classic equation for an air cored inductor: L = u
> Nsqrd A / l Multiply the numerator and denominator by 4pi  we get:
>
> L = u Nsqrd 4pi sqrd  r sqrd / 4 pi l  =  u (2pi r N)sqrd / 4 pi l
>
> Since 2pi rN equals wire length we can write:
>
> L = u (wire length)sqrd / 4 pi l
>
> Letting the solenoid height ( l ) equal the wire length,  we find that
> the classic equation predicts that the inductance of a straight wire
> is simply:
>
> Lstwire = u wire length / 4 pi
>
> Furthermore classic description also predicts that exactly half of the
> inductance of a straight wire resides within the wire itself.
>
> We can view inductance as having a density. We can take a given length
> of wire and wind it around a large barrel shaped form and get a good
> inductor with a high inductive density. But the same wire around a
> skinny pole makes a poor inductor with a low inductive density.
> Skinnier yet and you get  a straight wire with a minimum inductance.
>
>
> (3)
> The classic description of LC resonance exactly matches the
> differential equations describing mass spring resonance. Normally
> these equations are perfectly reasonable approximations. However they
> do not describe node formation along the length of an inductor.
>
> We turned to the energy equations of rope resonance derived by world
> class Physicist/Mathematicians Jacob and Daniel Bernoulli to describe
> node formation in an inductor. The potential and kinetic energies of a
> rope in a normal mode are equivalent to mass spring resonance. The sum
> of energy of both systems remains constant and the average is equal.
>
> There are some differences between rope resonance and resonance along
> an inductor. We cannot vary the velocity of waves along an inductor,
> they are fixed at C under conditions of standing wave resonance. So as
> it turns out, standing wave resonance in an inductor lacks a degree of
> freedom found in rope resonance. Since inductors have an inductive
> density we can model them as if they were ropes with a linear density.
>
> I will stop this discussion right here as I am already late for work.
> We have written extensively on this topic and this information can be
> found on the Tesla Web-ring.
>
> (4)
> A note to the moderator. We posted a recipe for a 1.5 wave coil and
> you deleted it. (because you disagreed with it!). You cannot suppress
> the inevitable, our equations are as right as rain and eventually you
> will find that you have actively engaged in the suppression of
> fundamental physics.
>
> Please repost our 1.5 wave coil specifications and let the scientific
> community verify it's validity.
>
>
> Respectfully Jared Dwarshuis and Lawrence Morris
>
>
>