160
CHAPTER
4
SERIES IMPEDANCE OF TRANSMISSION LINES
where
D
m is the distance between conductors. Both Dm and Ds must be in the
same units, usually either meters or feet. The GMR found in tables is an
equivalent
D
s' which accounts for skin eect where it is appreciable enough to
aect inductance. Of course, skin eect is greater at higher frequencies for a
conductor of a given diameter. Values of
D
s listed in Table A.3 of the Appendix
are for a frequency of 60 Hz.
Some tables give values of inductive reactance in addition to GMR. One
method is to expand the logarithmic term of Eq. (4.46), as follows:
1
XI,
=
2.022
x
10 -
f
In - + 2.022 x 1
0
f
In
D
ill
Djmi
D
.
"
(4.47)
If both
Ds
and Dill
arc in feet, the rst term in Eq. (4.47) is th