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Inductance of a single loop with large surface area/ 360 hz input



Concerning the former Transtrom Extraction for CSN,
with small corrections I had wrote:

Here Tesla is estimating the inductance of a single
loop by a formula that gives only two parameters for
input, and those values given in centimeters
correspond to an ANSWER understood in those days
readily by that definition. But what we have here is a
fairly long formula that tesla used to calculate this
from knowing only the parameter of the radius A of the
loop and the radius a of the {orthogonal
relationship}of that wire in circumference
relationship to pi. This is a fairly long formula
using a summation of natural logs in typical
mathematical reference to the smaller terms becoming
infinitesimal. The CSN refers to the natural logarithm
as log base(e){term}, I have shortened this to the
modern calculus convention of ln{term} for the
formula. The obvious connection some may miss is the
input variables are lengths in cm, yeilding  an answer
in cm, then converted to inductance by ratio of 10^-9,
or nano henry.

June 7,1899 Approximate estimate of a primary turn to
be used in experimental station. L(s){?,this assumed
to be L(p) for a single loop}= 3.14{pi}[ 4A{ln
(8A/a)-2)} + 2a{ln (8A/a)-5/4} - a^2/16A{2 ln(8A/a) +
19}] 
The advantage here is the use of only two input
parameters, and an answer with a conversion to
inductance, lending more credance to the idea of an
inductor containing so much surface area, coresponding
to the modern idea of internal capacitance.

NOW What is bothersome with this formula is that if a
long loop is employed in a oblong form, there is no
way to estimate A, the radius of the outside loop. Now
because I have a 360 hz generation system that can
stand the punishment of a near dead short, the
possibilities of using a single loop of a primary
somewhat similar to Teslas 140 hz input used in CSN
presents itself. However I wish to make those single
loops in POLOIDAL arrangement to a very long column of
14 gauge coils,each wound independently delivering a
high q on that secondary. A preliminary estimate of
the needed capacity  to resonate  at 31,250 hz quarter
wavelength value is needed. Each loop of primary is
estimated dimensions of 66 inches length X 6 inches
wide in rectangular form using 3/8 diameter tube. The
poloidal field interaction to record high frequency is
made by instantaneous field reversals made by the
first try of a BRS TESLA COIL PRIMARY AT 360 hz.
Because of the fact that a single gap BRS  driven by a
transformer running over time can damage windings of a
transformer due to over voltage spikes of series
resonance, the normal caution is to limit the power
input which can be done with the field in these
alternators analogous to a variac. The placing of
inductor to a longitudinal orientation to recieve
signals, or 90 degrees to the normal action, is
previously observed to occur as the high frequency
action noted by instantaneous field reversals made in
the case of this  brs method used in large air core
coils, in a single arc gap method. The instantaneous
field reversals can be given as a better filter to the
power input by making a double arc gap, not applicable
yet in placing this idea to tesla coils.

In placing this idea to tesla coils, two primaries
must do the same thing driven as series resonance,
each schematically 180 out of phase. This should also
mean that a center tap transformer can be divided to
produce the inverse of the circuit, with each tank
circuit on either side: thus more than a simple way to
make the circuit may exist. The  theoretical advantage
of a BRS single arc gap shown with large induction
coils is that it is naturally SELF QUENCHING. A very
small arc gap will rapid fire and quench leading to
extraordinary BPS rates by interposing a open circuit
load in a double arc gap method exploring feeble
effects of the high frequency effects in space itself.

In applying the same effect on tesla primaries the
primaries are each driven 180 out of phase, and an arc
gap between those primaries made. The capacitors on
each branch are subjected to the resonant rise of
voltage. This means the normal rating of the input NST
being used could exceed those cap ratings being used
as applied to the normal tank circuit configuration of
driving a primary. The primary objection of such a
method is initially expressed by Tesla in CSN on  July
2, 1899 as the difference between having the arc gap
INSIDE the tank circuit, and that of being OUTSIDE. If
it is outside: the break also represents a short to
the power supply. If it is inside the break,Tesla
notes that the oscillations are quickly damped due to
the disadvantage that the primary discharge current
passes through the break.

It seems to me Tesla considered two possibilities but
not the third. By comprising a mirror image of the
model made with the break within the tank circuit,
those damped oscillations in fact have a different
current path to follow, the outside paths that give
another series resonant rise of voltage and great
power input and a reflection back and forth between
conditions, leading to the observation of 180 phased
magnetic fields alternating polarities in TIME, not a
damped condition. This SHOULD be the major theoretical
problem posed at the beginning of this millenium by
tesla coilers, can we further advance his conceptions,
leaving no rock unturned? The experts have stated that
bipolar systems have been made according to what I am
saying, but I dont think so... are you just looking at
the secondaries and not the primary combinations?

Sincerely HDN


=====
Binary Resonant Systemhttp://www.insidetheweb-dot-com/mbs.cgi/mb124201

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