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Chapter 11
Op-Amp Applications
OpOp--Amp ApplicationsAmp Applications
ConstantConstant--gain multipliergain multiplier
Voltage summingVoltage summing
Voltage bufferVoltage buffer
Controlled sourcesControlled sources
Instrumentation circuitsInstrumentation circuits
Active filtersActive filters
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
Active filtersActive filters
22
ConstantConstant--Gain AmplifierGain Amplifier
Inverting VersionInverting Version
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
more…more…
33
ConstantConstant--Gain AmplifierGain Amplifier
Noninverting VersionNoninverting Version
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
44
MultipleMultiple--Stage GainsStage Gains
= AAAA 321
The total gain (3-stages) is given by:
or
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
55






−





−





+=
R3
R
R2
R
R
R
1A ff
1
f
or
Voltage SummingVoltage Summing




++++++++−−−−==== fff
V
R
V
R
V
R
V
The output is the sum
of individual signals
times the gain:
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
[Formula 14.3]






++++++++−−−−==== 3
3
f
2
2
f
1
1
f
o V
R
R
V
R
R
V
R
R
V
66
Voltage BufferVoltage Buffer
Any amplifier with no gain or loss is called a unity gainunity gain
amplifieramplifier.
The advantages of using a unity gain amplifier:
• Very high input impedance
• Very low output impedance
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
Realistically these circuits
are designed using equal
resistors (R1 = Rf) to avoid
problems with offset
voltages.
77
Controlled SourcesControlled Sources
VoltageVoltage--controlled voltage sourcecontrolled voltage source
VoltageVoltage--controlled current sourcecontrolled current source
CurrentCurrent--controlled voltage sourcecontrolled voltage source
CurrentCurrent--controlled current sourcecontrolled current source
Copyright ©2009 by Pearson Education, Inc.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
88
VoltageVoltage--Controlled Voltage SourceControlled Voltage Source
The output voltage
is the gain times the
input voltage. What
makes an op-amp
different from other
amplifiers is its
impedance
Noninverting Amplifier VersionNoninverting Amplifier Version
Copyright ©2009 by Pearson Education, Inc.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
impedance
characteristics and
gain calculations
that depend solely
on external
resistors.
more…more…
99
VoltageVoltage--Controlled Voltage SourceControlled Voltage Source
The output voltage
is the gain times the
input voltage. What
makes an op-amp
different from other
amplifiers is its
impedance
Inverting Amplifier VersionInverting Amplifier Version
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
impedance
characteristics and
gain calculations
that depend solely
on external
resistors.
1010
VoltageVoltage--Controlled Current SourceControlled Current Source
The output current
is:
1
1
o kV
R
V
I ========
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
1
1
o kV
R
I ========
1111
CurrentCurrent--Controlled Voltage SourceControlled Voltage Source
This is simply another way
of applying the op-amp
operation. Whether the
input is a current
determined by Vin/R1 or as
I1:
fR−−−−
==
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
or
in
1
f
out V
R
R
V
−−−−
====
1212
L1out RIV −=
CurrentCurrent--Controlled Current SourceControlled Current Source
This circuit may appear
more complicated than
the others but it is really
the same thing.
R  V
Copyright ©2009 by Pearson Education, Inc.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
in
in
f
out
21
in
f
out
in
in
f
out
R
V
R
V
R||R
V
R
V
V
R
R
V
−−−−====
−−−−====






−−−−====
kI
R
R
1II
R
RR
R
V
I
RR
RR
VI
R||R
V
I
2
1
o
2
21
1
in
o
21
21
ino
21
in
o
====





++++−−−−====





 ++++
−−−−====






××××
++++
−−−−====
−−−−====
1313
Instrumentation CircuitsInstrumentation Circuits
Some examples of instrumentation circuits using op-
amps:
• Display driver
• Instrumentation amplifier
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
• Instrumentation amplifier
1414
Display DriverDisplay Driver
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
1515
Instrumentation AmplifierInstrumentation Amplifier
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
For all Rs at the same value (except Rp):
(((( )))) (((( ))))2121
P
o VVkVV
R
2R
1V −−−−====−−−−





++++====
1616
Active FiltersActive Filters
Adding capacitors to op-amp circuits provides external control of the
cutoff frequencies. The op-amp active filter provides controllable
cutoff frequencies and controllable gain.
• Low-pass filter
• High-pass filter
• Bandpass filter
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
1717
LowLow--Pass FilterPass Filter——FirstFirst--OrderOrder
Copyright ©2009 by Pearson Education, Inc.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
11
OH
CRπ2
1
f ====
1
f
v
R
R
1A ++++====
The upper cutoff frequency
and voltage gain are given
by:
1818
LowLow--Pass FilterPass Filter——SecondSecond--OrderOrder
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
The roll-off can be made steeper by adding more RC networks.
1919
HighHigh--Pass FilterPass Filter
Copyright ©2009 by Pearson Education, Inc.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
11
OL
CRπ2
1
f ====
The cutoff frequency is determined by:
2020
BandpassBandpass FilterFilter
There are two cutoff
frequencies: upper and
lower. They can be
calculated using the same
low-pass cutoff and high-
pass cutoff frequency
formulas in the
Copyright ©2009 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458 • All rights reserved.
Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
formulas in the
appropriate sections.
2121

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11 op amp applications

  • 2. OpOp--Amp ApplicationsAmp Applications ConstantConstant--gain multipliergain multiplier Voltage summingVoltage summing Voltage bufferVoltage buffer Controlled sourcesControlled sources Instrumentation circuitsInstrumentation circuits Active filtersActive filters Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky Active filtersActive filters 22
  • 3. ConstantConstant--Gain AmplifierGain Amplifier Inverting VersionInverting Version Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky more…more… 33
  • 4. ConstantConstant--Gain AmplifierGain Amplifier Noninverting VersionNoninverting Version Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 44
  • 5. MultipleMultiple--Stage GainsStage Gains = AAAA 321 The total gain (3-stages) is given by: or Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 55       −      −      += R3 R R2 R R R 1A ff 1 f or
  • 6. Voltage SummingVoltage Summing     ++++++++−−−−==== fff V R V R V R V The output is the sum of individual signals times the gain: Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky [Formula 14.3]       ++++++++−−−−==== 3 3 f 2 2 f 1 1 f o V R R V R R V R R V 66
  • 7. Voltage BufferVoltage Buffer Any amplifier with no gain or loss is called a unity gainunity gain amplifieramplifier. The advantages of using a unity gain amplifier: • Very high input impedance • Very low output impedance Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky Realistically these circuits are designed using equal resistors (R1 = Rf) to avoid problems with offset voltages. 77
  • 8. Controlled SourcesControlled Sources VoltageVoltage--controlled voltage sourcecontrolled voltage source VoltageVoltage--controlled current sourcecontrolled current source CurrentCurrent--controlled voltage sourcecontrolled voltage source CurrentCurrent--controlled current sourcecontrolled current source Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 88
  • 9. VoltageVoltage--Controlled Voltage SourceControlled Voltage Source The output voltage is the gain times the input voltage. What makes an op-amp different from other amplifiers is its impedance Noninverting Amplifier VersionNoninverting Amplifier Version Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky impedance characteristics and gain calculations that depend solely on external resistors. more…more… 99
  • 10. VoltageVoltage--Controlled Voltage SourceControlled Voltage Source The output voltage is the gain times the input voltage. What makes an op-amp different from other amplifiers is its impedance Inverting Amplifier VersionInverting Amplifier Version Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky impedance characteristics and gain calculations that depend solely on external resistors. 1010
  • 11. VoltageVoltage--Controlled Current SourceControlled Current Source The output current is: 1 1 o kV R V I ======== Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 1 1 o kV R I ======== 1111
  • 12. CurrentCurrent--Controlled Voltage SourceControlled Voltage Source This is simply another way of applying the op-amp operation. Whether the input is a current determined by Vin/R1 or as I1: fR−−−− == Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky or in 1 f out V R R V −−−− ==== 1212 L1out RIV −=
  • 13. CurrentCurrent--Controlled Current SourceControlled Current Source This circuit may appear more complicated than the others but it is really the same thing. R  V Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky in in f out 21 in f out in in f out R V R V R||R V R V V R R V −−−−==== −−−−====       −−−−==== kI R R 1II R RR R V I RR RR VI R||R V I 2 1 o 2 21 1 in o 21 21 ino 21 in o ====      ++++−−−−====       ++++ −−−−====       ×××× ++++ −−−−==== −−−−==== 1313
  • 14. Instrumentation CircuitsInstrumentation Circuits Some examples of instrumentation circuits using op- amps: • Display driver • Instrumentation amplifier Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky • Instrumentation amplifier 1414
  • 15. Display DriverDisplay Driver Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 1515
  • 16. Instrumentation AmplifierInstrumentation Amplifier Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky For all Rs at the same value (except Rp): (((( )))) (((( ))))2121 P o VVkVV R 2R 1V −−−−====−−−−      ++++==== 1616
  • 17. Active FiltersActive Filters Adding capacitors to op-amp circuits provides external control of the cutoff frequencies. The op-amp active filter provides controllable cutoff frequencies and controllable gain. • Low-pass filter • High-pass filter • Bandpass filter Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 1717
  • 18. LowLow--Pass FilterPass Filter——FirstFirst--OrderOrder Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 11 OH CRπ2 1 f ==== 1 f v R R 1A ++++==== The upper cutoff frequency and voltage gain are given by: 1818
  • 19. LowLow--Pass FilterPass Filter——SecondSecond--OrderOrder Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky The roll-off can be made steeper by adding more RC networks. 1919
  • 20. HighHigh--Pass FilterPass Filter Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 11 OL CRπ2 1 f ==== The cutoff frequency is determined by: 2020
  • 21. BandpassBandpass FilterFilter There are two cutoff frequencies: upper and lower. They can be calculated using the same low-pass cutoff and high- pass cutoff frequency formulas in the Copyright ©2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 • All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky formulas in the appropriate sections. 2121