ALLIED'S ELECTRONICS DATA HANDBOOK

Transmission Line Formulas

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Concentric Transmission Lines
  Characteristic impedance in ohms is given by
                       
R-f resistance in ohms per foot of copper line, is given by
                       
Attenuation in decibels per foot of line, is given by
                       
  Where: Z
r
 
a
d1
 
d2
 
f

=
=
 
=
=
 
=
 
=
characteristic impedance in ohms,
radio frequency resistance in ohms per foot of copper line,
attenuation in decibels per foot of line,
the inside diameter of the outer conductor, expressed in inches,
the outside diameter of the inner conductor, expressed in inches,
frequency in megacycles.
Two-Wire Open Air Transmission Lines
Characteristic impedance in ohms is given by
                       
Inductance in micro henrys per foot of line is given by
                       
Capacitance in micromicrofarads per foot of line is given by
                       
 
   
Attenuation in decibels per foot of wire is given by
 
                       
 
R-f resistance in Ohms per loop-foot of wire, is given by
 
                       
 
  Where: Z
D
d
L
C
db
Rf
f

=
=
=
=
=
=
=
=
characteristic impedance in ohms,
spacing between wire centers in inches,
the diameter of the conductors in inches,
inductance in microhenrys per foot of line,
capacitance in micromicrofarads per foot of line,
attenuation in decibels per foot of wire,
r-f resistance in ohms per loop-foot of wire,
frequency in megacycles.
Vertical Antenna
     The capacitance of a vertical antenna, shorter than one-quarter
wave length at its operating frequency, is given by
                       
 
  Where: Ca
l
d
f
e
=
=
=
=
=
capacitance og the antenna in micromicrofarads,
height of antenna in feet,
diameter of antenna conductor in inches,
frequency in megacycles.
2.718 (the base of the natural system of logarithms).
 

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