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Chapter 10

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Chapter 10

Operational Amplifier

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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 ).

Note the op-amp has two inputs and one output.

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Basic Op-Amp
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 ‘+’
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Op-Amp

+
V o Non-inverting
~ Vi • + terminal : Source
 • – terminal : Ground
• 0o phase change

+
V o
Inverting
• + terminal : Ground
 • – terminal : Source
~
V i
• 180o phase change

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Basic Amp.

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IC Product

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Vin(+) Vin(-) IC Product
V+

Vo

V
-

Internal circuitry of LM741.

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Common-Mode Operation

• Ideally, the two inputs are equally amplified, and since they
result in opposite-polarity signals at the output, these signals
cancel, resulting in 0-V output.
• Practically, a small output signal will result.
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Common-Mode Rejection
• A significant feature of a differential connection is that:
• The signals that are opposite at the inputs are highly
amplified,
• Signals that are common to the two inputs are only
slightly amplified
• The overall operation being to amplify the difference
signal while rejecting the common signal at the two
inputs.
• Since noise (any unwanted input signal) is generally
common to both inputs, it canceled.
• This operating feature is referred to as common-mode
rejection .
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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.

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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.
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Inverting Op-Amp Gain
Gain can be determined from external resistors: Rf and R1

A v  Vo  R f
Vi R1

Unity gain—voltage gain is 1

Rf  R1
 R f  1
Av 
R1

The negative sign denotes a 180 phase


shift between input and output.

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AC equivalent of op-amp circuit
Practical Op-Amp Circuits

Inverting amplifier
Noninverting amplifier
Unity follower
Summing amplifier
Integrator
Differentiator

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Inverting/Noninverting Op-Amps
Inverting Noninverting Amplifier
Amplifier
 Rf Rf
Vo  V1 Vo  (1  )V1
R1 R1

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Unity Follower

V o  V1

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Summing
Amplifier

R R 


Vo   fR f f
V  V  V 
 R1 1 R 2 2 R 3 3 

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Integrator

•The output is the


integral of the input.
•This circuit is useful in
low-pass filter circuits.

1
v o (t)   RC v 1 (t)dt
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Differentiator

•The differentiator
takes the derivative
of the input.
•This circuit is useful
in high-pass filter
circuits.

dv 1 (t)
v o (t)  RC dt

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