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Re: [TCML] Re: Breakdown voltages of toroids



b alex pettit jr wrote:
Hello Antonio,

If a Sphere has the highest breakdown voltage, why are Toroids now used so frequently ?
Because toroids are relatively easy to make from flexible metal duct, shield better the upper part of the secondary coil, and technically, allow independent choice of capacitance and breakdown voltage.

Do your calculations compare to the data I posted from Ross Engineering
for the larger sizes, OR, could you extend your table to include  a
few examples of 30, 40, and 50 cm size.
I made comparisons of some values, and it appears that the theoretical values are higher, particularly for the thin toroids. But I don't know how the experimental values were obtained. The calculations assume smooth toroids far from other bodies, and breakdown electric field of 30 kV/cm.

A table with capacitances and breakdown voltages:
(diameters in meters, capacitances in pF, voltages in kV)
Minor d.   0.050   0.100   0.150   0.200   0.250
Major d.
  0.200   8.600 ------- ------- ------- -------
         164.46 ------- ------- ------- -------
  0.300  12.082  13.528 ------- ------- -------
         200.32  282.95 ------- ------- -------
  0.400  15.376  17.200  18.404 ------- -------
         227.66  328.91  398.22 ------- -------
  0.500  18.535  20.738  22.153  23.265 -------
         249.61  367.50  448.88  512.50 -------
  0.600  21.591  24.164  25.800  27.056  28.119
         267.88  400.64  493.37  565.90  626.35

The Inca program can make these calculations (http://www.coe.ufrj.br/~acmq/programs)

Antonio Carlos M. de Queiroz

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