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CHAPTER 9:
OPERATIONAL AMPLIFIER
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Symbol
Example
Characteristics
Structure
Operation
Applications
μp 741
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Contents
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Symbol
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Example
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Characters of circuits depend on outside circuit
structure, not the opamp itself
Gain AV: very high, ideally ∞
Zin: very large, ideally ∞
Zout: very small, ideally 0
Current entering the amp at either terminal:
extremely small, ideally 0
Voltage out (when voltages into each other are
equal): small, ideally 0
Bandwidth: broad, ideally infinite
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Characteristics
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Characteristics
Input: 2 inputs (positive and negative)
Single-ended input: 1 input to signal source, 1 input to
ground
Double-ended input: 2 different signal sources or 1 signal
source apply between 2 inputs
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Differential-mode gain Adm - large
Common-mode gain Acm - small
Common-mode rejection ratio CMRR=G=Adm/Acm, usually
about 103-105
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Output: 1 or 2 outputs, typically 1 output
Mode gain:
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Requirement:
large
Offset: small
Currents: small
Input impedance: large
Output impedance: small
Input: symmetric
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Gain:
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Structure
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Structure
Example: 741 – at the end of chapter
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Input stage
Intermediate stage
Level shifting stage
Output stage
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non-inverting amplifier
Uni-gain circuit
Addition and subtraction circuits
Integration and differential circuits
Multi-stages circuit
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Inverting,
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Basic and advance applications
Basic applications:
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Applications
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Advance applications
voltage source
Voltage-controlled current source
DC voltmeter
AC voltmeter
Driver circuit
Active filters
NIC
.etc.
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Current-controlled
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Applications
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Non-inverting fixed-gain amplifier
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Prove:
V- = V+ = V1
I- = I+ = 0
=>IR1 = Irf = V1/R1
=>A = 1+Rf/R1
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Non-inverting fixed-gain amplifier
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A = 1+Rf/R1=101
Vo=101Vi
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Inverting fixed-gain amplifier
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Prove:
V- = V+ = 0
I- = I+ = 0
=>IR1 = Irf = V1/R1
=>A = -Rf/R1
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Voltage addition
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Vo = -V1Rf/R1-V2Rf/R2 –
V3Rf/R3
If V1=V2=V3 then:
A= -Rf/R1-Rf/R2 –Rf/R3
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Voltage subtraction
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Vout1 = -Rf/R1V1
Vout = -Rf/R2V2 - Rf/R2Vout1 = -Rf/R2V2 + Rf/R2V1
= -Rf/R2(V1 – V2)
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Voltage subtraction with 1 amp
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Prove:
V-=V+=V1*R3/(R1+R3)
I- = I+ = 0
=>IR2 = IR4 = (V2V1*R3/(R1+R3))/R2
=>Vo=V1*R3/(R1+R3)*
(R2+R4)/R2 – V2*R4/R2
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Uni-gain (buffer) amplifier
Provide required input and output resistant stage
Provide multiple identical output signals
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Voltage-controlled voltage source
Vo=(1+Rf/R1)V1
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Vo=(-Rf/R1)V1
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Voltage-controlled current source
Io=V1/R1
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Current-controlled voltage source
Vo=-I1RL
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Current-controlled current source
Io=I1(R2+R1)/R2
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Vo=(Vi/RC)0ƒTVi(t)dt+Vou
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Integration circuit
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t(t=0)
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Vo=-RC dVi/dt
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Differential circuit
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Low pass filter
High pass filter
Band pass filter
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Filter
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order low pass filter
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1
Cutoff frequency: fOH=1/(2πR1C1)
Voltage gain below cutoff freq: Av=1+Rf/RG
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