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Re: [TCML] Re: Breakdown voltages of toroids



For non-weird shapes with reasonably smooth curves, you can use the smallest radius of curvature to determine breakdown voltage. 30kV/cm is a handy approximation.

Be aware, though, that the idealized situation of a nice smooth surface and truly "free space" doesn't happen very often.



-----Original Message-----
>From: b alex pettit jr <a_pettit_jr@xxxxxxxxx>
>Sent: Jun 17, 2008 4:59 AM
>To: tesla@xxxxxxxxxx
>Subject: [TCML] Re: Breakdown voltages of toroids
>
>Hello All,
>
>I know there was a long thread on this topic
>several years ago, but the calculations seemed
>to be based on the breakdown voltages Between
>equally sized toroids rather than breakdown
>to air.
>
>Does anyone have this equation, a table, or
>if the information  posted in 2003 is appropriate
>also for breakdown to air, can someone extend these
>values to larger toroid sizes ? ( 12" 15" 18" etc )
>
>I attempted to extrapolate the data in Excel, but
>the curves are too non linear for any useful accuracy.
>
>Thanks,
>Alex P
>
>
>Date: Fri, 12 Dec 2003 19:56:24 -0700 
>Resent-Date: Fri, 12 Dec 2003 20:01:32 -0700 
>Resent-From: tesla-at-pupman-dot-com 
>Resent-Message-ID: <t4bJ9.A.9nD.IEo2_-at-poodle> 
>Resent-Sender: tesla-request-at-pupman-dot-com 
>
>--------------------------------------------------------------------------------
>
>Original poster: "Antonio Carlos M. de Queiroz" <acmq-at-compuland-dot-com.br> 
>
>Tesla list wrote:
> >
> > Original poster: Peter Lawrence <Peter.Lawrence-at-Sun-dot-com>
> >
> > Antonio,
> >          how about another table that gives the toroid capacitance relative
> > to a sphere equal to the larger diameter of the toroid.
>
>Ok. Instead of a 2 cm sphere, I will use a 20 cm sphere as start, to
>avoid ridiculously small toroids. Anyway, the scaling mentioned in the
>other post continue to be valid for other sizes. But what I said about
>capacitance scaling was wrong. The breakdown voltage and the capacitance
>are both directly proportional to the scaling factor of the dimensions.
>
>20    cm sphere:    300 kV  11.1 pF
>20x10 cm toroid:    226 kV  9.69 pF
>20x9  cm toroid:    216 kV  9.50 pF
>20x8  cm toroid:    205 kV  9.31 pF
>20x7  cm toroid:    193 kV  9.09 pF
>20x6  cm toroid:    180 kV  8.86 pF
>20x5  cm toroid:    164 kV  8.60 pF
>20x4  cm toroid:    147 kV  8.30 pF
>20x3  cm toroid:    126 kV  7.92 pF
>20x2  cm toroid:    99.9 kV 7.41 pF
>20x1  cm toroid:    63.9 kV 6.62 pF
>
>Antonio Carlos M. de Queiroz
>
>
>
>
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