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Tom Heiber <theiber-at-lonet.ca>
From: Tom Heiber <theiber-at-lonet.ca>
> Organization: Power Surge
> To: tesla-at-pupman-dot-com
>
>
> This is an equation I got from Bert Pool's file.
>
>
> =======================================================================
> EQUATION 10: CAPACITANCE OF A TOROID
> ___________________
> / 2
> C =(1+ (0.2781 - d2/d1)) x 2.8 x / 2 pi (d1-d2)(d2/2)
> / -------------------
> \/ 4 pi
>
>
> C = capacitance in picofarads (+- 5% )
> d1 = outside diameter of toroid in inches
> d2 = diameter of cross section (cord) of toroid in inches
>
> Equation courtesy of Bert Pool
>
> =======================================================================
>
>
> CAN ANYONE help me solve for D1 as in D1=........
> I have been trying to do this without any results (I suck at math)
Turns out to be a bit of a horror.
Firstly, the original can be considerably simplified (assuming
the form above is correct):
C = ( 0.695 - 2.5(d2/d1) ) x SQRT( d2(d1-d2) )
As far as I've got with attempting to extract d1 (hopefully no
errors):
(C^2)/d2 = 0.476d1 - 3.9d2 + 3.425(d2^2) + (d2^2)/d1 - (d2^3)/(d1^2)
I have reservations about all this anyway because it doesn't
factor in the proximity of the toroid to the resonator.
FWIW,
Malcolm