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Re: Help with this equation!
Subject: Re: Help with this equation!
Date: Wed, 28 May 1997 17:28:14 +1000 (EST)
From: Rodney Davies 3019181 <d3019181-at-bohm.anu.edu.au>
To: Tesla List <tesla-at-pupman-dot-com>
Hi Tom,
On Tue, 27 May 1997, Tesla List wrote:
> Subject: Help with this equation!
> Date: Mon, 26 May 1997 21:37:07 -0400
> 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)
Well, I'm not sure if this is right, but still, I couldn't quite solve
for d1 sorry, but I got this -
2.8^2 x d2^2 = d1[ 0.648474254+(2.8^2 x d2^2) -
d1(4 x Pi x C^2 - 0.52794254) ]
Are you trying to construct a toroid to suite a specific capacitance?
You may want to go for 2 equations, one for d1 = ... and another for d2
= ...
, Since the value of d2 may even be dependant on the value of d1.
Usually good to start with an outside diameter and make it's height
1/5th
of the diam. Doing that should be able to help you get a value for d2...
>From there, just plug in a few different combinations until you get the
size you require...
Hope this helps a little....
Catchya!
Rod