Capacity C, Elastance K, Enductance M & Inductance L
I believe the secondary is made up of maximal inter-turn MUTUAL-capacity K not self-capacity C, hence why you get two resonant frequencies, LC and MK, when doing a frequency sweep of the coil. With special reference to Borderland Science - Transverse & Longitudinal Electric Waves [1988] (Specifically, about 7 minuets into the video)
I might be wrong but, you could look at the secondary coil's individual loops as isolated metallic rings in which there is a mutual capacity K between all of them where the lines of dielectric induction are cut buy the individual "rings"(essentially a giant "elastor") frequency is in "per radians" as opposed to radians, next all the winding can be looked at as a single wire and their lines of dielectric induction interacting with the "ground" as a capacitance C, frequency in radians.
Its EASY to CONFUSE the two because you can look at an elastor as a capacitor when viewed from coil end-to-end. The understanding of self-induction and mutual-induction is the guiding light that clears this up.
Now there is the self-inductance L which is distributed along the coil's length, seen as a single long wire, next there is a mutual-inductance M between the individual windings, seen as a group of separate shorter windings. The magnetic induction of the self-inductance, L, is 90 degrees spatially out of phase of the magnetic induction of mutual-inductance, M. The LOOPS of magnetic induction for L are only along the wire's surface the LINES of magnetic induction M cut, or terminate on, each separate loop, the frequency of L is in radians whereas M is in "per radians". That takes winding a "coil" to the "next level", quite interesting if you ask me.
M & K are aligned in the same axis of propagation, both cut, or terminate on, separate "repetitive metallic structures" of the coil (other loops), L & C are 90 degrees spatially out of phase with M & K, and being in the form of self-induction as opposed to mutual induction the whole length of the wire is considered in their calculation as opposed to the individual structures of the coil. Quite complex if you ask me.
A helpful reference to the above description is:
E. P. Dollard - Condensed Intro to Tesla Transformers [1986] (With specific reference to "Analysis", Figures 6, 7 & 9 and pages 16-31)
Now we come to the quadra-polar view of "Voltage and Current" e & I and E & i. Note that Voltage is not the dielectric and current is not the magnetic. EACH TAKE BOTH FORM. The geometry of the space surrounding the ENERGY of DIELECTRIC or MAGNETIC determines whether they are seen as Volts or Amps. Confusing I know, possibly enlightening when fully digested.
Some more "food for thought" is looking at things as SERIES or PARALLEL (shunt) ENTITIES. Example; resistance, r, series element, inductance, L, series element, elastance, K, series element, conductance, g, parallel element, capacity, C, parallel element, enductance, M, parallel element. While you can "convert" a parallel element into a series element, such as an elastance into a capacitance, (by using its reciprocal) it doesn't change how the lines of induction are propagated in the element so the conversions are "mental gymnastics" that confuse the mind into thinking they are equivalent. Numerically they are equivalent, Spatially, in terms of axis of propagation, they are not equivalent.
In conclusion, an MK wave is different from an LC wave and theoretically you can have MC & LK waves as well. This probably predicts why you can have Transverse-Magnetic TM waves (with Longitudinal-Dielectric LD wave byproduct), Transverse-Electric TE waves (with Longitudinal-Magneto LM wave byproduct) and pure Transverse-Electro-Magnetic TEM waves. As for pure Longitudinal-Magneto-Dielectric LMD propagation, pure MK, little is known and even less is openly available on this subject, aside from Mr. Dollards work.
Hope this wasn't off the mark (I'm just a High School dropout so don't take my word for it), hopefully Mr. Dollard will point out any errors in my understanding (or misunderstanding).
Garrett M
Originally posted by madhatter
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I might be wrong but, you could look at the secondary coil's individual loops as isolated metallic rings in which there is a mutual capacity K between all of them where the lines of dielectric induction are cut buy the individual "rings"(essentially a giant "elastor") frequency is in "per radians" as opposed to radians, next all the winding can be looked at as a single wire and their lines of dielectric induction interacting with the "ground" as a capacitance C, frequency in radians.
Its EASY to CONFUSE the two because you can look at an elastor as a capacitor when viewed from coil end-to-end. The understanding of self-induction and mutual-induction is the guiding light that clears this up.
Now there is the self-inductance L which is distributed along the coil's length, seen as a single long wire, next there is a mutual-inductance M between the individual windings, seen as a group of separate shorter windings. The magnetic induction of the self-inductance, L, is 90 degrees spatially out of phase of the magnetic induction of mutual-inductance, M. The LOOPS of magnetic induction for L are only along the wire's surface the LINES of magnetic induction M cut, or terminate on, each separate loop, the frequency of L is in radians whereas M is in "per radians". That takes winding a "coil" to the "next level", quite interesting if you ask me.
M & K are aligned in the same axis of propagation, both cut, or terminate on, separate "repetitive metallic structures" of the coil (other loops), L & C are 90 degrees spatially out of phase with M & K, and being in the form of self-induction as opposed to mutual induction the whole length of the wire is considered in their calculation as opposed to the individual structures of the coil. Quite complex if you ask me.
A helpful reference to the above description is:
E. P. Dollard - Condensed Intro to Tesla Transformers [1986] (With specific reference to "Analysis", Figures 6, 7 & 9 and pages 16-31)
Now we come to the quadra-polar view of "Voltage and Current" e & I and E & i. Note that Voltage is not the dielectric and current is not the magnetic. EACH TAKE BOTH FORM. The geometry of the space surrounding the ENERGY of DIELECTRIC or MAGNETIC determines whether they are seen as Volts or Amps. Confusing I know, possibly enlightening when fully digested.
Some more "food for thought" is looking at things as SERIES or PARALLEL (shunt) ENTITIES. Example; resistance, r, series element, inductance, L, series element, elastance, K, series element, conductance, g, parallel element, capacity, C, parallel element, enductance, M, parallel element. While you can "convert" a parallel element into a series element, such as an elastance into a capacitance, (by using its reciprocal) it doesn't change how the lines of induction are propagated in the element so the conversions are "mental gymnastics" that confuse the mind into thinking they are equivalent. Numerically they are equivalent, Spatially, in terms of axis of propagation, they are not equivalent.
In conclusion, an MK wave is different from an LC wave and theoretically you can have MC & LK waves as well. This probably predicts why you can have Transverse-Magnetic TM waves (with Longitudinal-Dielectric LD wave byproduct), Transverse-Electric TE waves (with Longitudinal-Magneto LM wave byproduct) and pure Transverse-Electro-Magnetic TEM waves. As for pure Longitudinal-Magneto-Dielectric LMD propagation, pure MK, little is known and even less is openly available on this subject, aside from Mr. Dollards work.
Hope this wasn't off the mark (I'm just a High School dropout so don't take my word for it), hopefully Mr. Dollard will point out any errors in my understanding (or misunderstanding).
Garrett M
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