Solution 3.8.2.2
Let
Z
1
=
1
C
1
s
and
Z
2
= R
2
+
1
C
2
s
=
R
2
C
2
s +1
C
2
s
:
Then
V
o
(s)=
Z
2
Z
1
+ Z
2
V
i
;;
Thus
V
o
(s)
V
i
(s)
=
R
2
C
2
s +1
C
2
s
R
2
C
2
s +1
C
2
s
+
1
C
1
s
(C
1
s)(C
2
s)
(C
1
s)(C
2
s)
=
(C
1
s)(R
2
C
2
s +1)
((C
1
s))(R
2
C
2
s +1)+C
2
s
=
(R
2
C
1
C
2
)s(s +
1
R
2
C
2
)
R
2
C
1
C
2
s
2
+(C
1
+ C
2
)s
=
s +
1
R
2
C
2
s +
C
1
+ C
2
R
2
C
1
C
2
:
1