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4hv.org :: Forums :: Tesla Coils
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Can I get some assistance on my math for the secondary coil?

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twist2b
Sat Oct 05 2013, 03:10AM Print
twist2b Registered Member #2086 Joined: Tue Apr 21 2009, 02:33AM
Location:
Posts: 117
Hey, I'm sorry I have to do this. I really try to do as much research as possible before asking questions... However, I've been reading the book "The Ultimate Tesla Coil Design and Construction Guide" and I've been doing the math as I go along. And I've been focusing on the secondary coil because I already made a simple small one to work with a fly swatter 2500v... so yeah I am trying to keep it simple and slowly get better and better at the subject until I can do everything... but I just graduated college and my wallet is still empty haha.

Here is my dilemma, I practiced winding a coil the other day and only produced 635 turns with 30AWG magnetic wire and I did the math in the book. The book has all the equations I need, however I got different results playing with some programs I found and other websites... I just want to know with a 1(15/16) inch diameter PVC pipe with the above information, is a frequency of ~254kHz sound right? and a (Lambda)/4 = 3871.51

What do you guys think?
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Hazmatt_(The Underdog)
Sat Oct 05 2013, 04:26AM
Hazmatt_(The Underdog) Registered Member #135 Joined: Sat Feb 11 2006, 12:06AM
Location: Anywhere is fine
Posts: 1735
There is a lot to it, more than it would seem.

wire length = pi * D * turns, so that puts you at about 3865 INCHES of wire

3865 inches * .0254 m/in = 98.18 meters, this is now your quarter wave,
so your operating frequency is 4x that,

4x 98.18m = 392.7 m

F = c/lambda = 3.0E8/392.7 = 763.941 KHz, which is what you would expect for a small coil, nearly a MHz or so.

So to answer your question, no, 254 KHz is not reasonable. It is reasonable for a 4" diameter coil with 26 awg, and 4:1 H/D aspect ratio,
and a relatively small toroid.

ALSO to note, the coil has a self capacitence, Cs, which will lower the frequency of the coil due to turn/turn capacitence. Your coil will probably have some 10pF or so of self capacitence...maybe up to 15pF or so, just guessing, so then you calculate the new Fo based on the secondary L and Cself.

Now if you add a topload, Cs and Ctoroid will be in parallel, which will also lower the new frequency, or you could just sweep the coil to determine that value, it's easier.


Matt
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twist2b
Mon Oct 07 2013, 03:09AM
twist2b Registered Member #2086 Joined: Tue Apr 21 2009, 02:33AM
Location:
Posts: 117
AWE MAN! Thank you so much. That's exactly what I needed. :) I have a lot better idea of how this all works... I'm going to go fiddle with math some more.
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