[MRCA] AS-2259 mast impedance
ersmar at comcast.net
ersmar at comcast.net
Tue Jul 25 16:56:54 EDT 2006
Gents:
With help from the dimensions from Breck's AS-2259 mast (thanks,
Breck), I calculate (below) that the impedance of the mast is around 46
Ohms, depending on what I assume for the dielectric constant of the
dielectric material in the mast. So 50 Ohms might not be a bad number for
me (us?) to use in developing matching circuits for the base.
Here's the equation I found in the ARRL Handbook and on the Web (
http://www.cableworld.com/ct2/archives/0999/ct0999f.htm )for the surge
impedance, aka characteristic impedance, of coaxial transmission line:
Zo = (138/sqrt(er))log(D/d)
where:
Zo = characteristic/surge impedance
er = dielectric constant of the material between inner and outer conductors
D = innder diameter of outer conductor
d = outer diameter of inner conductor.
Also, the above web site defined er as approx 1/velocity factor of the
dielectric material. I found in the HB that hardline of nearly any diameter
has a VF of 0.81. I then applied (assumed) this number was near the VF for
the AS-2259's material. If I'm wrong (likely), my final number could be
less than or greater than 46 Ohms by a small amount. So I'll use 50 Ohms
and sleep well tomight.
Back to the Smith Charts!
73 de
Gene Smar AD3F
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