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as a function of position a, is no longer valid when longitudinal 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.