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Old May 1st 06, 04:12 AM posted to rec.radio.amateur.antenna
Reg Edwards
 
Posts: n/a
Default A little more on missing degrees

For those of you who may be unfamiliar with the mathematics of
transmission lines, download program TWOLINES and enter the following
practical values -

Line-1 represents the loading coil.
Line-2 represents the whip to be pruned for 1/4-wave resonance.

Enter Zo1 = 6000 ohms, a practical value.
Enter electrical length L1 = 0.15 wavelengths.
Enter attenuation = 0.1 dB for wire loss in coil.

Enter Zo2 = 400 ohms, a practical value.
Enter electrical length L2 = 0.0077 wavelengths.
Enter attenuation = 0.001 dB

Enter open-circuit load resistance = 100 Megohms and load reactance =
100 Megohms.

To check that the circuit is in 1/4-wave resonance, vary plus or minus
length of Line-2 for zero or minimum input reactance.

The input resistance of the coil or Line-1 is about 16 ohms, a typical
value.

But L1 + L2 = 0.1577 wavelengths = only 57 degrees.

The missing 90 - 57 = 33 degrees are just not needed for resonance.
So why is everybody making such a fuss about it?
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Regards from Reg, G4FGQ
For Free Radio Design Software go to
http://www.btinternet.com/~g4fgq.regp
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