Re: Wire Length (fwd)

["Tesla list" <tesla@xxxxxxxxxx>]

Moderated and approved by: Gerry Reynolds <greynolds@xxxxxxxxxx>



---------- Forwarded message ----------
Date: Sun, 24 Dec 2006 09:34:22 -0300
From: Antonio Carlos M. de Queiroz <acmdq@xxxxxxxxxx>
To: tesla@xxxxxxxxxx
Subject: Re: Wire Length (fwd)

Tesla list wrote:
> Moderated and approved by: Gerry Reynolds <greynolds@xxxxxxxxxx>
>
> From: resonance <resonance@xxxxxxxxxxxx>
>
> coeff of coupling values between 0.2 and 0.5 should not be used in Tesla 
> oscillator circuit.   Ref Mark Denacoli's physics dissertation (in the 
> archives) for the technical reasons.  They can be used but you pay a price.
>   
The highest coupling coefficients that allow complete energy transfer are:

Mode 1:2, energy transfer in  1.0 cycle:  k= 0.6000000000
Mode 2:3, energy transfer in  1.5 cycles: k= 0.3846153846
Mode 3:4, energy transfer in  2.0 cycles: k= 0.2800000000
Mode 4:5, energy transfer in  2.5 cycles: k= 0.2195121951
Mode 5:6, energy transfer in  3.0 cycles: k= 0.1803278689
Mode 6:7, energy transfer in  3.5 cycles: k= 0.1529411765
Mode 7:8, energy transfer in  4.0 cycles: k= 0.1327433628
Mode 8:9, energy transfer in  4.5 cycles: k= 0.1172413793
Mode 9:10, energy transfer in  5.0 cycles: k= 0.1049723757

These values are critical only  above k=0.18, when the gaps between the 
modes are quite large.
In the gaps areas, some of the energy in the primary capacitor is not 
transferred to the secondary
capacitance, but the amount is negligible for k<0.18.
k=0.4 is sufficiently close to mode 2:3. 99.6 % of the energy is 
(ideally, no losses) transferred.
The worst value in the range is k=0.47, that transfers only 86.4%
The absolute worst for high k is k=0.8, that transfers only 59.3 %.
There numbers in the mode are the ratios between the two resonance 
frequencies of the system.
High values of k are not common in Tesla coils due to insulation 
problems between the two
coils. Quenching of the primary gap is difficult too.

Antonio Carlos M. de Queiroz