TSSP: List Archives

From: "Terrell W. Fritz"
Date: Sat, 14 Oct 2000 14:21:09 -0600
Subject: Re: [TSSP] Phase constant in a tesla secondary

Hi Paul,

At 08:22 AM 10/14/2000 +0100, you wrote:
>Referring to the first paragraph in section 5 in
>
>   http://www.abelian.demon.co.uk/pn1310.ps
>
>I point out that the phase constant
>
>    beta(a) = omega sqrt( L(a) C(a))
>
>as a function of position a, is no longer valid when longitudinal
>coupling is present.
>
>I believe Robert Jones was looking into the case of the infinite
>solenoid in the presence of longitudinal coupling.

I think the longitudinal coupling is what accounts for the concave voltage
profile.  Robert knows far more than I on this...

Cheers,

	Terry

>
>Robert, we haven't heard from you in a while, are you still with us?
>
>Is there anything you can tell us about beta in a long tesla coil?
>How is beta modified by the mutual inductance and internal capacitance?
>
>The tsim model can offer tentative answers to these questions,
>subject to the correctness of the program. I'm looking for a
>qualitative analytical indication of how beta is affected, for
>use as a cross check on tsim.
>
>Tentative conclusions from tsim are:
>
>Mutual inductance decreases beta in a frequency dependant way,
>causing a rise in velocity at higher frequencies, thus pushing
>up the frequency of the higher order resonances.
>
>Internal capacitance increases beta in a frequency dependant way,
>reducing velocity at higher frequencies, thus depressing the
>frequencies of the higher resonance.
>
>Regards,
>--
>Paul Nicholson,
>Manchester, UK.
>--


Maintainer Paul Nicholson, paul@abelian.demon.co.uk.