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Old 14th Nov 2017, 9:46 pm   #15
Al (astral highway)
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Join Date: Nov 2006
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Default Re: Transcendental magic: Schade's peak voltage equation and my discovery!!

Quote:
Originally Posted by kalee20 View Post
And much easier to calculate! In fact it's the approximation behind my % error being 78/Q... as pi/4Q x 100% simplifies to just this!

So, whereas Al's calculator gives up and displays 1 for Q>10,000 we can now do better if we want... so for a Q of 100,000,000 the exponential term would be 0.99999999215.
Yes, neat work!

But hey, I was wondering...

There must be a practical limit to Q, taking any definition?
David's (RadioWrangler)'s for example?

'The reciprocal of the fraction of the resonator energy per radian of time at the resonant frequency...' seems particularly appropriate...

Can it really anywhere much higher than, I'm guessing, for an air cored inductor, a very optimistic 1,000, using idealised materials and design?
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