Thread: Eric Dollard
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Old 08-09-2013, 10:00 PM
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dR-Green dR-Green is offline
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Quote:
Originally Posted by T-rex View Post
A model must equal its original in two things.

Network analysis seeks two things:

1. Propagation, or the fraction of one wavelength.

2. Impedance, the ratio of magnetism to dielectric.

This is called the Transfer Function.

All networks have this pair of functions. Thus, to make a model (scale) network, it must have the same function results, one fourth wave, and 1000 ohms let's say, this result at the frequency of the model, which would be a fourth wave and 1k Ohm at the original frequency. In general L time C is propagation, L over C is Impedance.

If the original coil has a reactance of X ohms at its frequency, the model coil must have the SAME reactance at its frequency.
Well, it appears to be done. For simplicity I've had to go with 100 turns, any deviations here makes it a lot more complicated.

At full scale, when
F = 45496 cycles/sec
Z = 3170 ohms
X = 5055 ohms
L/C = Zē = 10054407.58
Conductor Length = 789.98 metres

Scale Frequency Ratio = 0.024460215

We get in the scale model
F = 1860000 cycles/sec
Z = = 3170 ohms
X = 5055 ohms
L/C = Zē = 10054407.58
Conductor Length = 19.32 metres
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