Solution 3.8.2.4
Let
Z
1
= R
1
+
1
C
1
s
=
R
1
C
1
s +1
C
1
s
:
and
Z
2
=
1
C
2
s
and
Then
V
o
(s)=
Z
2
Z
1
+ Z
2
V
i
;;
Thus
V
o
(s)
V
i
(s)
=
1
C
2
s
1
C
2
s
+
R
1
C
1
s+1
C
1
s
(C
1
s)(C
2
s)
(C
1
s)(C
2
s)
=
C
1
s
(C
1
s)+(C
2
s)(R
1
C
1
s +1)
=
C
1
s
(R
1
C
1
C
2
)s
2
+(C
1
+ C
2
)s
=
C
1
s
(R
1
C
1
C
2
)s(s +
(C
1
+C
2
)
R
1
C
1
C
2
)
=
1
R
1
C
2
1
(s +
(C
1
+C
2
)
R
1
C
1
C
2
)
:
1