Solution 3.8.5.1
For the opamp circuit of Figure 3.26 wehave
V
o
(s)
V
i
(s)
=
;(1=R
1
C
1
)s
s
2
+(1=R
2
C
1
+1=R
2
C
2
)s +1=R
1
C
1
R
2
C
2
Wewishtomake the denominator
(s +10)(s+100)
Letting
R
2
= aR
1
;; C
2
= bC
1
;; and =1=R
1
C
1
;;
weobtain
V
o
(s)
V
i
(s)
=
;s
s
2
+ (1=a +1=ab)s+
2
=ab
:
Then wehavethetwo equations
[(b+1)=ab] = 110
2
=ab = 1000
Dividing the rst equation bythesecond yields
b +1
=0:11;;
or
b =0:11;1
If we let =10then
b =0:1;;
and
a =
2
b1000
=
100
0:11000
= 1:
Then wemust have
1
R
1
C
1
= =10;;
or
R
1
C
1
=0:1
1
Wechoose
R
1
=100k
and C
1
=1 f:
Then
R
2
= R
1
100 k
and C
2
=0:1 f
2