User manual
page 29
Analog System Lab Kit PRO
Simulatetheintegratoranddierentiatorandobtainthetransientresponse
and phase response.
Take the plots of transient response and phase response on an oscilloscope
and compare it with simulation results.
3.4 What should you submit
experiment 3
1
2
3
4
Frequency Response - Apply a sine wave to the integrator (similarly to the
dierentiator)andvarytheinputfrequencytoobtainphaseandmagnitude
error. Prepare a Table of the form 3.1. Figure 3.3 shows the typical frequency
responseforintegratorsanddierentiators.Foranintegrator,theplotshows
a phase lag which is proportional to
++
N
AGBs
V
V
GB
s
sCR
C
V
V
GB
s
GB
sRC
sRC
Q
ss
sRC
GB
V
V
V
RC
VT
Tf
f
1
1
1
1
1
2
1
th
i
i
pp
p
pp
p
0
0
2
0
0
2
2
0
GB RC$
$
$
$
~
~
~
~
=
=
=
++
=
++
=
=
-
-
-
a
b
b
k
l
l
. The magnitude decreases with
increasingfrequency.Forthedierentiator,thephasewillchangerapidlyat
natural frequency in direct proportion to quality factor. The magnitude peaks
at natural frequency and is directly proportional to the quality factor.
Table 3.1: Plot of Magnitude and Phase w.r.t. Input Frequency
Table 3.2: Plot of Magnitude and Phase w.r.t. Input Frequency
Figure 3.3: Frequency Response of integrator and dierentiator
S. No. Input Frequency Magnitude Phase
1
2
3
4
5
S. No. Input Frequency Magnitude Phase
1
2
3
4
5
Transient response - Apply the square wave as an input to integrator, vary
the peak amplitude of the square wave and obtain the peak to peak value
of output wave.
++
N
AGBs
V
V
GB
s
sCR
C
V
V
GB
s
GB
sRC
sRC
Q
ss
sRC
GB
V
V
V
RC
VT
Tf
f
1
1
1
1
1
2
1
th
i
i
pp
p
pp
p
0
0
2
0
0
2
2
0
GB RC$
$
$
$
~
~
~
~
=
=
=
++
=
++
=
=
-
-
-
a
b
b
k
l
l
is directly proportional to peak voltage of input
++
N
AGBs
V
V
GB
s
sCR
C
V
V
GB
s
GB
sRC
sRC
Q
ss
sRC
GB
V
V
V
RC
VT
Tf
f
1
1
1
1
1
2
1
th
i
i
pp
p
pp
p
0
0
2
0
0
2
2
0
GB RC$
$
$
$
~
~
~
~
=
=
=
++
=
++
=
=
-
-
-
a
b
b
k
l
l
and is
given by
++
N
AGBs
V
V
GB
s
sCR
C
V
V
GB
s
GB
sRC
sRC
Q
ss
sRC
GB
V
V
V
RC
VT
Tf
f
1
1
1
1
1
2
1
th
i
i
pp
p
pp
p
0
0
2
0
0
2
2
0
GB RC$
$
$
$
~
~
~
~
=
=
=
++
=
++
=
=
-
-
-
a
b
b
k
l
l
, where
++
N
AGBs
V
V
GB
s
sCR
C
V
V
GB
s
GB
sRC
sRC
Q
ss
sRC
GB
V
V
V
RC
VT
Tf
f
1
1
1
1
1
2
1
th
i
i
pp
p
pp
p
0
0
2
0
0
2
2
0
GB RC$
$
$
$
~
~
~
~
=
=
=
++
=
++
=
=
-
-
-
a
b
b
k
l
l
,
++
N
AGBs
V
V
GB
s
sCR
C
V
V
GB
s
GB
sRC
sRC
Q
ss
sRC
GB
V
V
V
RC
VT
Tf
f
1
1
1
1
1
2
1
th
i
i
pp
p
pp
p
0
0
2
0
0
2
2
0
GB RC$
$
$
$
~
~
~
~
=
=
=
++
=
++
=
=
-
-
-
a
b
b
k
l
l
being the input frequency.
Figure 3.4 shows sample output waveforms obtained through simulation.
Table 3.3: Variation of Peak to Peak value of
output w.r.t. Peak value of Input
S. No. Peak Value of input Vp Peak to Peak value of output
1
2
3
4