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Chapter 10:
Operational Amplifiers
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
Basic Op-Amp
Operational amplifier or op-amp, is a very high gain differential
amplifier with a high input impedance (typically a few meg-
Ohms) and low output impedance (less than 100 W).
Note the op-amp has two inputs and one output.
2
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
Basic Op-Amp
3
Symbol
• One of the input terminals (1) is called an inverting input
terminal denoted by ‘-’
• The other input terminal (2) is called a non-inverting input
terminal denoted by ‘+’
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
IC Product
4
+
1
2
3
4
8
7
6
5
OUTPUT A
-IN A
+IN A
V
V+
OUTPUT B
-IN B
+IN B+
Dual op-amp 1458 device
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
IC Product
5
V+
V-
Vo
Vin(-)
Internal circuitry of LM741.
Vin(+)
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
Op-Amp
6
+
Vo
~ Vi
+
Vo
~ Vi
Non-inverting
• + terminal : Source
• – terminal : Ground
• 0o phase change
Inverting
• + terminal : Ground
• – terminal : Source
• 180o phase change
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
Op-Amp Gain
Op-Amps have a very high gain. They can be connected open-
loop or closed-loop.
• Open-loop refers to a configuration where there is no
feedback from output back to the input. In the open-loop
configuration the gain can exceed 10,000.
• Closed-loop configuration reduces the gain. In order to
control the gain of an op-amp it must have feedback. This
feedback is a negative feedback. A negative feedback
reduces the gain and improves many characteristics of the
op-amp.
7
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
Inverting Op-Amp
• The signal input is applied to the inverting (–) input
• The non-inverting input (+) is grounded
• The resistor Rf is the feedback resistor. It is connected from
the output to the negative (inverting) input. This is negative
feedback.
8
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
Inverting Op-Amp Gain
Gain can be determined from external resistors: Rf and R1
Unity gain—voltage gain is 1
The negative sign denotes a 180 phase
shift between input and output.
o fv
i 1
V RA
V R
1R
RA
RR
1
fv
1f
9
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
Practical Op-Amp Circuits
Inverting amplifier
Noninverting amplifier
Unity follower
Summing amplifier
Integrator
Differentiator
10
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
Inverting/Noninverting Op-Amps
11
fo V
R
RV
Inverting Amplifier Noninverting Amplifier
11
fo V)
R
R1(V
11
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
Unity Follower
1o VV
12
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
Summing Amplifier
3
3
f2
2
f1
1
fo V
R
RV
R
RV
R
RV
13
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
Integrator
•The output is the
integral of the input.
•This circuit is useful in
low-pass filter circuits.
(t)dtvRC
1(t)v 1o
14
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
Differentiator
•The differentiator
takes the derivative of
the input.
•This circuit is useful
in high-pass filter
circuits.
dt
(t)dvRC(t)v 1
o
15