Biomedical Engineering Reference
In-Depth Information
and it follows that
i
C
¼
C
dv
C
dt
¼
C
dV
s
dt
Since no current flows into the op amp,
i
C
¼
i
R
. With
i
R
¼
v
n
v
o
R
¼
v
o
R
and
i
C
¼
C
dV
s
dt
¼
i
R
¼
v
o
R
we have
v
o
¼
RC
dV
s
dt
1
C
v
o
¼
dV
s
dt
If
R
¼
, the circuit in this example differentiates the input,
.
EXAMPLE PROBLEM 9.24
Find
v
0
for the following circuit.
+
v
C
−
i
C
C
i
R
−
R
+
+
V
S
v
n
−
v
0
v
p
Solution
It follows that
v
n
¼
v
p
¼
0
and
i
C
¼
i
R
¼
V
s
R