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Old January 19th 04, 04:56 AM
Cecil Moore
 
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Henry Kolesnik wrote:

In the Feb. 2004 QST there's an article by AD5X for a mobile antenna using a
Hamstick or Bugcatcher with shunt capacitor feed or an L match. Can someone
please explain, including the math, on how a ~500pf capacitor transforms 10
ohms to 50 ohms for 40 meters? I get no understand from reading either my
ARRL Handbook or ARRL Antenna Handbook. There are no stupid questions, only
stupid people asking!


I haven't read the article but it's probably a capacitor in parallel with
a 10+jXL feedpoint impedance. With the right amount of jXL, a parallel
capacitor will convert the impedance to 50 ohms resistive. In this case,
the antenna is operated at a frequency higher than its resonant frequency
and the feedpoint impedance is 10+jXL, i.e. the antenna is too long.

With a 10-jXC feedpoint impedance, a parallel inductor will convert the
impedance to 50 ohms resistive. I'm sure you've seen these coils
at the base of 75m & 40m mobile antennas. In this case, the antenna is
operated at a frequency lower than its resonant frequency and the feedpoint
impedance is 10-jXC, i.e. the antenna is too short.

In my old 15th edition of The ARRL Antenna Book, this is all covered on
page 16-11 under "Matching to the Transmitter". On my version 2 ARRL
Antenna Book CD it is on page 16-13 all explained in detail.
--
73, Cecil http://www.qsl.net/w5dxp



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