Subject: Reality. Re: Medhurst self resonant frequency and nodality (fwd)

["Tesla list" <tesla@xxxxxxxxxx>]

---------- Forwarded message ----------
Date: Thu, 18 Oct 2007 18:01:54 -0400
From: Jared Dwarshuis <jdwarshuis@xxxxxxxxx>
To: Pupman <tesla@xxxxxxxxxx>
Subject: Subject: Reality. Re: Medhurst self resonant frequency and nodality
    (fwd)

Subject: Reality.   Re: Medhurst self resonant frequency and nodality (fwd)


>This not only applies to an inductor but to a straight wire as well. In
both
>instances the results will be closest to ideal when the solenoid (or wire)
>is long and many nodes are present.
 .....

>The self resonant frequency of Wavelength/2 for a wire is solely a function
>of its length.
 Except.
 The winding of wire into solenoid changes the self resonant frequency.
 cf any good text on antenna engineering.

 Or a good ham radio book, under 'continuosuly loaded antennas'.

 Roughly: for long, skinny, closely wound antennas, ONE HALF wave
 of physical wire length 'looks like' 1/4 wave of straight wire.
 This is the measured reality.
 (To the extent that such arrangements are not commonly used as
  antennas, may need to dig a bit for the refrences.  Still: true.)

 as the 'form factor' changes: becomes shorter/fatter, the physical
 length and the electrical length become closer.

> Thus a given wire will have the same resonant frequency
>whether it is straight or wound in a solenoid. This stands to reason since
>node spacing is entirely a function of wavelength, or in our case, wire
>length.
  cf as above.

  Try the measurement.

  best
   dwp





……………………………………………………………………………………………………………..





Greetings dwp:





Take a look at the G3YNH web site  under inductors and transformers part 3
page 3.



If you take the wire length given by the author and divide by (wavelength/2)
you get a factor of almost exactly the sqrt of (15/16)
 (deviating
by only 1/10th of a percent.)





This is special relativity at work. For when we compare the units of time of
a quarter wave section versus C/ wavelength we find that they are different
by a factor of exactly 4.



Thus:    4T = T'



Solving this using Lorentz equation we find an observational velocity of the
sqrt of (15/16)C



But in all cases the waves actually do travel at exactly the speed of light
down the wire. The sqrt of 15/16C is an observational phenomena.



We made this exact prediction, it is in the archives!





Sincerely: Jared Dwarshuis and Lawrence Morris