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Re: Optimal Quenching
Subject:
Re: Optimal Quenching
Date:
Mon, 17 Mar 1997 20:25:35 -0800 (PST)
From:
"Edward V. Phillips" <ed-at-alumni.caltech.edu>
To:
tesla-at-pupman-dot-com
Re: Beat Note
The "beat note" represents the sum of two sinusoidal
oscillations (at least if the effective circuit Q is much over
5 they are essentially sinusoidal) above and below the resonant
frequency of either of the coupled circuits. Simplest case is
when both circuits, when isolated, are tuned to the same frequency.
The derivation isn't hard, but don't have it here in front of me
right now. Think the two frequencies are fo/sqrt(1+k) and
fo/sqrt(1-k) for the lower and upper frequencies, respectively,
but that doesn't look quite right. Should post the whole answer
here, even though I think that has been done before. Anyhow,
the frequencies of the "beats" are almost independent of Q.
When the gap opens you are left with the secondary
circuit ringing at its resonant frequency (lowered by ion
cloud effects) and the primary open.. Whole point of optimum
k (NOT kQ) is to make sure that when the gap opens all of the
energy in the primary is stored in the secondary.
By the way, if you plot the sum of two sinusoids you
will observe the beat phenomenon.
Not a complete answer, I'm afraid.
Ed