Check my math please?
Could someone check my math for me? It's been awhile since I used some of
these math skills.
I need to construct a short segment of 450 ohm open air xmittion line
between my antenna and a 9:1 balun mounted on a post. The formula given by
the 2003 ARRL handbook on page 19.4 gives the formula for calculating line
impedance as,
Z=276 Log(2S/d)
I had to re-arrange this to solve for S with Z and d as given.
Z = 450 desired xmission line imp.
d = 1.1mm the size in mm of the 18gauge wire I have.
Z/276 = Log(2S/d)
than
450/276 = Log2S - Log1.1
than
1.630 = log(2S) - .0414
than
1.630 = log 2 + log S - .0414
than
1.630 = .301 + log S - .0414
than
1.630 = .26 + log S
than
1.37 = log S
23.44 = S
23.44mm center to center
Does it check out?!
Thank You In Advance!
|