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RE: [TCML] Q
hi,
you are right ; it is foolish to lower the coupling to increase "Q" or decrease the "decrement."
you want to have the primary and secondary circuits resonate to the same frequency when they are decoupled. then you want to build your system so that these circuits can be brought into proxmity so that a coupling of 0.6 can be acheived without arcing.
when you have accomplished these things; all of the energy in the primary capacitor will be transferred to the capacity of the secondary circuit in 1/2 cycle of oscillation. the system then quickly transferrs its energy without going thru many oscillations (say if k=0.385 or 0.12) and burn a lot of energy needlessly in the spark gap switch. the complete transfer is made in a minimum of time.
the worn out " frequency splitting" talk can be put to bed by looking at the governing equation for the time dependent voltage of the Tesla transformer and noticing that in the above system the energy is distributed into two (2) oscillations. one oscillation is twice the frequency of the other and this frequency ratio of 2 causes the voltage waves to align at a particular time and add to a maximum. that is what the ( cosine W2 - cosine W1) term does in the governing equation. if W is the frequency in the decoupled circuits (as described above). the frequency above W is: W/sqrt(1-k) and the frequency below W is: W/sqrt(1+k); where k is the coef. of coupling: ie. 0.6, 0.54. 0.385, and the hobby coupling 0.12. a k of 0.125 will take a bunch of oscillations to transfer al the energy in C1 to C2, and the gap will be consuming energy that could have been used to pump up the secondary with ( not to discuss how hard all this oscillation is on your primary cap.)
the above coef's of coupling (k) in combo with each circuit resonating alone at W (whatever it turns out to be) causes in each case a frequency ratio of 2. math wise the circuits resonating at the same frequency when seperated is : L1 x C1 = L2 x C2. (this condition is important).
by now,
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