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*To*: tesla-at-pupman-dot-com*Subject*: Re: Sphere/Toroid Comparison Chart*From*: "Tesla list" <tesla-at-pupman-dot-com>*Date*: Sat, 05 May 2001 12:37:27 -0600*Resent-Date*: Sat, 5 May 2001 12:43:04 -0600*Resent-From*: tesla-at-pupman-dot-com*Resent-Message-ID*: <MESWl.A.dKD.smE96-at-poodle>*Resent-Sender*: tesla-request-at-pupman-dot-com

Original poster: "Kurt Schraner by way of Terry Fritz <twftesla-at-uswest-dot-net>" <k.schraner-at-datacomm.ch> John, Matt, Luc - the equations, used to equate the respective capacitances of toroids vs. spheres, must have been: The well known Bert Pool's eqn. for toroids: C = [1 + (0.2781-d2/d1)] x 2.8 x { pi x [(d1-d2) x (d2/2)] / 2 } And for spheres: C = epsilon x 25.4 x d / 9 with relative dielectric constant epsilon for air set to 1.0 (instead of 1.0006). d1 sphere diameter in [inch] d2 sphere diameter in [inch] d sphere diameter in [inch] C capacitance in [pF] This compares to about 3 decimal fractions in C. Kurt Schraner Tesla list wrote: > > Original poster: "John H. Couture by way of Terry Fritz <twftesla-at-uswest-dot-net>" <couturejh-at-worldnet.att-dot-net> > > Matt - > > Your table agrees closely with a Sphere/Toroid Graph I show in one of my > books. The graph covers spheres up to 60 inches diameter and toroids up to > 80 inches large diameter. We must have used the same equations. The > advantage of a graph is that if you only know the capacitance the graph will > quickly show you several different size toroids that will have the > capacitance you need and you do not have to do any calculations. > > John Couture > > ------------------------------- > > -----Original Message----- > From: Tesla list [mailto:tesla-at-pupman-dot-com] > Sent: Thursday, May 03, 2001 7:50 PM > To: tesla-at-pupman-dot-com > Subject: Sphere/Toroid Comparison Chart > > Original poster: "by way of Terry Fritz <twftesla-at-uswest-dot-net>" > <Mddeming-at-aol-dot-com> > > Hi All! > I found this on an old paper spread sheet. > No reference as to source. I think > the relative sizes are right, but can't swear to it. > C-C Chord Nom. > Toroid Toroid Cap Equiv.Diam. Equiv.Diam. > d1(inches) d2(inches) pf sphere (in.) sphere (m) > > 8 4.00 7.723 5.47 0.1390 > 8 6.00 4.540 3.22 0.0817 > 10 4.00 10.675 7.56 0.1921 > 10 6.00 8.243 5.84 0.1484 > 12 4.00 13.262 9.40 0.2387 > 12 6.00 11.585 8.21 0.2085 > 14 4.00 15.574 11.04 0.2803 > 14 6.00 14.605 10.35 0.2629 > 16 4.00 17.675 12.53 0.3181 > 16 6.00 17.359 12.30 0.3125 > 18 4.00 19.607 13.89 0.3529 > 18 6.00 19.893 14.10 0.3581 > 20 4.00 21.402 15.17 0.3852 > 20 6.00 22.245 15.76 0.4004 > 22 4.00 23.083 16.36 0.4155 > 22 6.00 24.444 17.32 0.4400 > 24 4.00 24.668 17.48 0.4440 > 24 6.00 26.512 18.79 0.4772 > 26 4.00 26.170 18.55 0.4711 > 26 6.00 28.469 20.18 0.5124 > 28 4.00 27.601 19.56 0.4968 > 28 6.00 30.329 21.49 0.5459 > 30 4.00 28.969 20.53 0.5214 > 30 6.00 32.103 22.75 0.5779 > Comments? > > Matt D.

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