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Topband: Shunt Feed Question/Observation

To: topband@contesting.com
Subject: Topband: Shunt Feed Question/Observation
From: "lahlumradio@juno.com" <lahlumradio@juno.com>
Date: Sat, 27 Jan 2007 16:30:42 GMT
List-post: <mailto:topband@contesting.com>
WA3TTS posted a question/observation about the measured impedance of a MFJ1793 
as used on 160m.
His question/observation concerned the measurement of swr/impedance at the end 
of a 1/2 w coax line and its change with temperature. The MFJ 1793 antenna in 
his application made use of a shunt feed to transform the impedance of the 
antenna. 
The antenna itself ( without the L shunt) looks like a series R ( Rant) and 
series C ( Cant).
at resonance the equations are
R = Rant   +  1/ ( w^2 Cant^2 Rant )       and       wL= X1 = (Rant^2) w Cant + 
1 / ( wCant)
what WA3TTS wanted to determine was Rant and Cant from his measurements and 
thus how they varied with temperature.
since we know L, w and R (from his measurements)
Rant =  X1^2 R / ( R^2  +  X1^2)   and   Cant =  1 / ( w ( R-Rant)Rant)^.5)
the two cases from the WA3TTS data
f =  1806 KHz    R = 50    L= 3.9uh
f=1816 kHz        R=36   L=3.9uh
Rant is thus 21.7 to 21.9 ohms  (very little variation between the two cases)
Cant is 3555pf to 4980pf   
there is very little change in the real part of the ant impedance, most all of 
the change is due to the change in capacitance of the ant.
73s
Rob  W1MK



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