December 2015
Intermediate to advanced
737 pages
23h 39m
English
Content preview from Network Analysis and Synthesis, 1st Edition by Pearson
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Filters and Attenuators 601
13.6.2 Analysis of p-Network
Let us find the characteristic impedance for p-network
shown in Figure 13.15.
From the figure, the input impedance of the network is
given as follows:
ZZZZZ
in
=+
22
21
20
[[ ]]
=+
⋅
+
2
2
2
21
20
20
ZZ
ZZ
ZZ
=
++
+
2
22
2
2
12 10 20
20
Z
ZZ ZZ ZZ
ZZ
=
++
+
+
++
+
2
22
2
2
22
2
2
12 10 20
20
2
12 10
20
20
Z
ZZ ZZ ZZ
ZZ
Z
ZZ ZZ ZZ
ZZ
=
++
+
++++
2
22
2
42
22
2
12 10 20
20
2
2
20 12 10 2
Z
ZZ ZZ ZZ
ZZ
ZZZZZZ
ZZ
Z
00
20
2ZZ+
=
++
+++
22 2
42 4
2121
02
0
2
2
12 10 20
ZZZZZZZ
ZZZZ
ZZ
Z
()
Z
ZZ ZZZZZ
ZZZZ
ZZ
Z
in
=
++
+++
42 4
42 4
12
2
12
02
2
0
2
2
12 10 20
By definition, Z
in
= Z
0
, substituting this value in the equation, we get the following:
Z
ZZ ZZZZZ
ZZZZ
ZZ
Z
0
12
2
12
02
2
0
2
2
12 10 20
42 4
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