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*To*: tesla@xxxxxxxxxx*Subject*: Re: Racing Spark Prediction*From*: "Tesla list" <tesla@xxxxxxxxxx>*Date*: Thu, 11 May 2006 06:58:43 -0600*Delivered-to*: testla@xxxxxxxxxx*Delivered-to*: tesla@xxxxxxxxxx*Old-return-path*: <vardan01@xxxxxxxxxxxxxxxxxxxxxxx>*Resent-date*: Thu, 11 May 2006 06:45:00 -0600 (MDT)*Resent-from*: tesla@xxxxxxxxxx*Resent-message-id*: <8KK05zs2U5G.A.FPF.MHzYEB@chip1>*Resent-sender*: tesla-request@xxxxxxxxxx

Original poster: "Gerry Reynolds" <gerryreynolds@xxxxxxxxxxxxx> Thankyou Paul and Bob. This helps some. Gerry R.

Original poster: Paul Nicholson <paul@xxxxxxxxxxxxxxxxxxx> Gerry wrote: > Im wondering if there is a third component to the voltage > profile... > For a 1000 turn coil probably 1000 little traveling waves each > starting from a different turn of the coil if you get my meaning > here. That's fine. These are all contained within the calculated self- resonance of the coil, and your description in term of travelling waves initiated on a turn by turn basis is a valid way to look at the thing. After all, our models start by setting up the equations for a single turn or section, whatever, of the coil using a general label say 'x' to indicate some arbitrary place on the coil, and then we say - right, apply those equations to every section of the coil, simultaneously, so we end up with a whole stack of equations, identical but for a different value of 'x' in each. That's how we build up, row by row, the matrix system mentioned above. > The current flowing by the traveling waves creates a magnetic > field that propagates at the speed of light to all other turns > in a direct path instead of following the wire path. Yes, and ditto the voltage and electric field. We can forget the speed of light, seeing as the coils are so small compared with a wavelength, you can just say that the coupling is instantaneous which makes the arithmetic a lot easier and only loses a miniscule bit of accuracy. > Does this paradigm seem reasonable??? Yes, although it doesn't add "a third component to the voltage profile". Superposition works here - model the response as if each turn is excited (somehow) in isolation and add it all up to get the familiar 'total' voltage. Each section of the coil can be thought of as being a simple harmonic oscillator in its own right, each coupled to every other by the E and H mechanisms. The combined motion of the them all is what we see as the V/I distributions. This is much like a vibrating beam or string, but those are simpler because each 'oscillator' is coupled only to its immediate neighbours. In the resonating coil, you have long range coupling between oscillators which makes the behaviour much richer - dispersive propagation, complex characteristic impedance, etc. -- Paul Nicholson Manchester, UK. --

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