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Re: Torroid Capacitance
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To: tesla-at-grendel.objinc-dot-com
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Subject: Re: Torroid Capacitance
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From: MSR7-at-PO.CWRU.EDU (Mark S. Rzeszotarski, Ph.D.)
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Date: Tue, 5 Mar 1996 11:41:06 -0500
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>>From EDHARRIS-at-MPS.OHIO-STATE.EDU Mon Mar 4 01:16 MST 1996
>From: EDHARRIS-at-MPS.OHIO-STATE.EDU
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>Date: Mon, 04 Mar 1996 00:11:50 -0500 (EST)
>Subject: Torroid Capaciatance
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> Since there was some recent discussion on the capacitances of
>torriods, I dug up a formula from W R SMYTHE in his text "Static and
>Dynamic Electricty". The formula is listed in exercise problem 119 in
>chapter 5. It is a series expansion for a torriod in free space.
>Unfortunately, it may be of little practical value (for coilers) since the
>capacitance is drasically modified by the presence of the coil (and
>possibly ground). I don't list the formula here since it would tax my ascii
>art skills.
>
>-Ed Harris
>
>
Hello Ed and other interested coilers,
I looked at Smythe's text last night. Nice infinite series
expansion of Legendre functions. As you pointed out, his formula applies to
a toroid in free space, without a central conducting disk and without the
influence of a nearby conducting helical resonator. I tend to favor Bert
Poole's empirical formula, since it has provided close results for the two
toriods I have built so far. Interesting formula nonetheless. There is a
lot of useful tidbits in that text, if you can sift through it.
Regards,
Mark S. Rzeszotarski, Ph.D.