are voltage data Was: ark voltage

["Tesla list" <tesla-at-pupman-dot-com>]

Original poster: "Barton B. Anderson by way of Terry Fritz <twftesla-at-qwest-dot-net>" <tesla123-at-pacbell-dot-net>

Question to List:

In line with this thread, does anyone have data on "static" gap measured
voltages including electrode size and gap
spacing?

I was running formula in the North Report and would like to compare. The
change in arc voltage with gap spacing and
electrode size "appears" about what one might expect, but no real way to
verify without measurements. I'd like to see
what data is out there, if any.

Thanks,
Bart

Tesla list wrote:

> Original poster: "Antonio Carlos M. de Queiroz by way of Terry Fritz
<twftesla-at-qwest-dot-net>" <acmq-at-compuland-dot-com.br>
>
> Tesla list wrote:
> >
> > Original poster: "by way of Terry Fritz <twftesla-at-qwest-dot-net>"
> <Kidd6488-at-aol-dot-com>
> >
> > I'm kind of curious about the voltage coming off the toroid...
> > Is it still 70kV/inch (35kV/Cm)
> >
> > It doesn't seem like my wimpy 20" sparks are (20 * 70,000)= 1,400,000
Volts!
>
> The actual relation is nonlinear, and depend on the shape of the
> electrodes. A good discussion about this appears in the book by North
> "High-power microwave-tube transmitters" (there is a copy on Terry's
> site),
>
> http://hot-streamer-dot-com/TeslaCoils/OtherPapers/NorthReport/
>
> chapter 7. A formula is given there for the voltage between 2 spheres of
> radius R and separated by d (meters):
>
> V=E*4*d/(d/R+1+sqrt((d/R+1)^2+8))
>
> E is 3000000 V/m in normal conditions. The relation tends to V=E*d for
> d<<R and to V=2*R*E for d>>R.
> The formula in the book actually gives E as function of V. The text says
> that the expression is exact (really?). It agrees reasonably with tables
> that can be found in several places.
> For a ball and a plane, simply double d and divide V by 2:
>
> V=E*4*d/(2*d/R+1+sqrt((2*d/R+1)^2+8))
>
> I would like to see a formula for spheres of different sizes.
>
> Antonio Carlos M. de Queiroz