Re: Extra coil

["Tesla list" <tesla-at-pupman-dot-com>]

Original poster: "by way of Terry Fritz <twftesla-at-qwest-dot-net>" <Mddeming-at-aol-dot-com>

In a message dated 2/13/02 9:53:38 AM Eastern Standard Time, tesla-at-pupman-dot-com
writes:



>
> Original poster: "David Thomson by way of Terry Fritz <twftesla-at-qwest-dot-net>"
> <dave-at-volantis-dot-org>
>
> I just happened to respond to someone earlier today about extra coils.  Here
> is my version...
>
> The extra coil in the magnifier is a special case.  Just as a primary
> inductance must be smaller than the secondary inductance, the resonant
> transformer frequency must be smaller than extra coil frequency.  If they
> are the same frequency or the resonant transformer frequency is higher, it
> won't be able to push the extra coil.  But the resonant transformer
> frequency cannot be too high or the frequencies will loose coupling.  In
> fact, there are only two ratios that will work for driving an extra coil,
> 4/3 and 11/6.  4/3 is probably slightly better of the two.  At four thirds
> the resonant transformer is perfectly set to swing the extra coil to a
> higher voltage.  Remember, four thirds is the same thing as one and one
> third.
>
> When you swing a child in a swing, the ideal time to "push" is when the
> child is one third the way into the cycle.  The swing is at the beginning of
> the cycle when the child is in the position of no motion.  The first quarter
> of the cycle is the child moving backward.  Half way through the cycle the
> child is back in the zero position.  Three quarters of the cycle through and
> the child is all the way forward at peak height.  The last quarter is
> returning to the zero position.  So one third of the way through, the child
> has completely come backward and is already gaining some momentum forward
> due to gravity.  This is the ideal time to input new energy into the system.
> The only other good time to push the child is when the child is 5/6 the way
> through the cycle.
>
> For all intents and purposes, the extra coil is not a part of the resonant
> transformer system.  The extra coil is system of its own frequency and its
> own quarter wave length that is powered by a resonant transformer system of
> lower energy.  There is no "free energy" in this system, but the extra coil
> is such a well tuned resonant system that it can accumulate lots of energy
> from several smaller well timed pushes.
>
> Dave




Hi Dave,
         This doesn't seem to wash mathematically. I think you're confusing
phase angle with frequency. In your own analogy, if you push the swing at 4/3
the frequency, you might be in the right place on the first cycle, but the
pulses will occur at 4/3, 8/3, 12/3, 15/3. etc. The third cycle will be 12/3 it
is at the zero point, where the swing is approaching you at maximum velocity.
(not healthy for children and other living things) What your analogy shows is
that the frequencies should be identical, but with a phase shift of 2*pi/3.
       From elementary physics, for a simple pendulum with initial displacement
"a", the period of oscillation is given by:
T=2pi(sqrt(L/g)*[1+sin^2(a/2)/4+(sin^4(a/2)*9/128) +...]  
The restorative force due to gravity is:
F=-mg*sin(theta) where theta is the instantaneous angular displacement. 

I do not see a mathematical or physical basis for your assertion that 1/3 of
the way through the cycle is the "ideal" time to add the impulse for maximum
energy transfer, even if the frequencies were equal. 

Please elucidate,
Matt D.
G3-1085