
31-6 Electrical Variables
ey vary along the line in the z-direction according to
V z V e V e I z I e I e
z z z z
( ) , ( )= + = +
+ − − + − −
0 0 0 0
γ γ γ γ
(31.21)
ese
so
lutions
ar
e
su
ms
of fo
rward
(e
−γz
) and backward (e
γz
) traveling waves with amplitudes
V I V I
0 0 0 0
+ + − −
, , and
and a propagation constant
γ ω ω
=
′
+
′ ′
+
′
( )( )R j L G j C
(31.22)
e
eq
uivalent
ci
rcuit
of th
e
tr
ansmission
li
ne
is sh
own
in Fi
gure
31.4. e en
ergy
sto
rage
in th
e
el
ectric
e
ld
is ac
counted
fo
r
by th
e
di
stributed
sh
unt
ca
pacitance
C′ pe
r
un
it
le
ngth,
wh
ile
th
e
e
ect
of th
e
ma
gnetic
e
ld
is re
presented
by th
e
se
ries
in
ductance
L′ pe
r
un
it
le
ngth
. e ...