Re: Tesla turns ratio ?

Subject:  Re: Tesla turns ratio ?
  Date:  Wed, 2 Jan 1980 13:16:50 +0500
  From:  "Alfred A. Skrocki" <alfred.skrocki-at-cybernetworking-dot-com>
    To:  Tesla List <tesla-at-pupman-dot-com>

On Thu, 12 Jun 1997 21:05:39 -0800 Greg Leyh
<lod-at-pacbell-dot-net> wrote;

> >                   Vsecondary = SQRT (Cprimary / Csecondary)
> Alfred has captured here the essence of the TC in a nutshell!

Only with the corrected equation I GOOFED on the original post!
should have been:

     Vsecondary = Vprimary x (SQRT (Cprimary / Csecondary))

> The above equation _alone_ must necessarily determine the maximum
> possible output voltage of any given TC or magnifier. It is often
> revealing to apply this equation to Tesla coils, especially when
> the advertised output voltage is over 5 million volts. 

I haven't directly applied that equation to a magnifier. Richard Hull
would have the best notion as to whether it applies directly to a 
magnifier or not. If it does it would probably be a stepped usage of 
the equation ie. use the equation first on the primary to the 
secondary then use it again using the secondary as the primary and 
the tertiary coil as the secondary and then multiply the two results.

> It is important to note from the above equation that changing the
> inductance of the sec. _does not_ affect the output voltage, if
> the sec. capacitance is held constant.

That would be true BUT the coil wouldn't work because it would be 
out of resonance!

> So why is the sec. inductance of any importance then?   Arc size!

No no no! At resonance the inductive and capacitive reactance MUST
be equal and opposite! Consequentially is is JUST AS VALID to say that 
a Tesla coils ratio of transformation is determined by the ratio of 
primary to secondary inductance! Thus;

     Vsecondary = Vprimary x (SQRT (Isecondary / Iprimary))

where I is inductance.

You must keep in mind that a Tesla coil is a RESONANCE device and as 
such it's capacitance and inductance are dependent on each other
and any modification of one will necessitate a change in the other.


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