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Re: Wire length theory (fwd)
Moderated and approved by: Gerry Reynolds <greynolds@xxxxxxxxxx>
---------- Forwarded message ----------
Date: Tue, 26 Dec 2006 21:24:34 -0800
From: Barton B. Anderson <bartb@xxxxxxxxxxxxxxxx>
To: Tesla list <tesla@xxxxxxxxxx>
Subject: Re: Wire length theory (fwd)
Hi Jared,
Thanks for sending. I'll take some time on this and get back to you as
time permits.
Take care,
Bart
Tesla list wrote:
>Moderated and approved by: Gerry Reynolds <greynolds@xxxxxxxxxx>
>
>
>
>---------- Forwarded message ----------
>Date: Sun, 24 Dec 2006 22:38:25 -0500
>From: Jared Dwarshuis <jdwarshuis@xxxxxxxxx>
>To: Pupman <tesla@xxxxxxxxxx>
>Subject: Wire length theory
>
>Hi: Bart
>
>
>
>From: Jared Dwarshuis
>
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>
>The framework of our model as requested:
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>(1) Maxwells equations must be satisfied.
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>(2) Maxwells prediction that E.M. waves travel at the speed of light must
>be satisfied.
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>(3) Standing waves are the result of forward and reverse waves of equal
>amplitude.
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>(4) Since voltage A to B = L di/dt. Standing waves within an inductor
>must partition the inductor so that it's frequency components are contained
>within the quarter wavelength region. The sum of inductive energy storage
>equals the sum of these quarter wavelength regions.
>
>
>
>(5) We can take the standard form for inductance (in the ideal) and write
>this as:
>
> L = u (wire length)sqrd / 4pi H
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>(6) We must satisfy the expression: C = frequency x wavelength
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>(7) We must reconcile the disparity between frequency = C/ wavelength
>and frequency
>= 1/ 2pi sqrt(LC) and modify both equations to include the features of
>nodality guaranteed by the mathematics of standing wave resonance.
>
>
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>(8) We partition Inductance as follows:
>
>L = u ( wire length/2n) 2n/H
>
>where n = 1/2, 2/2, 3/2 ��
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>(9) We partition the equation C = freq.x wavelength with:
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>Freq. = n/2 C/(wire length)
>
> where n = 1/2, 2/2, 3/2 ��
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>(10) We set these expressions equal:
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>n/2 C/wire = 1/2pi sqrt( [u (wire/2n)sqrd 2n/H ] [capacitance] )
>
>where n = 1/2, 2/2, 3/2 ��
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>End.
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