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OPERATIONAL
AMPLIFIER
(PHE-10)
+
-
Typical Op Amp IC Packages
Dual-in-Line
package (DIP)
Metal Can Package
Op Amp Pin-out connections
Dual-in-Line Plastic Package
OFFSET NULL
OFFSET NULL
Op Amp Pin-outs Metal Can
WHAT IS INSIDE AN
OP AMP?
Phases of output signal wrt input
input
Common Emitter Amplifier
Rb
RL
Input
signal
Inverted
output
signal
Two matched transistors form a
differential amplifier
input
0 V
-VEE+0.7 V
Constant
current
= I1+I2
I1 I2
VC1=VCC-I1R2 VC2=VCC-I2R4
Transisterized
Differential Amplifier
Double ended
input - double
ended output
diff. amp:
vout=A (v1-v2)
v1
v2
vout
- +
Transistorized
Differential Amplifier
Differential Mode
signal
Common Mode
signal
●
Single ended
output
Non-
inverting
input
Inverting
input
Single Ended Differential Amplifier
(commonly used in op-amps)
Op Amp stages with pin-outs of IC741
2
4
7
6
3
Op amp Comparator
• Open loop gain of op amp is defined as:
AOL = Vo / VD
where VD = VNI – VINV
• Open loop gain of op amp is very high
(ideally infinite).
• Any small difference between VNI and VINV
results into saturation of output voltage ±VSAT
i.e. for VNI < VINV output is – VSAT and
for VNI > VINV output is + VSAT
• Value of VSAT is limited by the supply voltage
of op amp
Op amp Voltage Level Detector
VOUT
+
-
VREF
VIN
= +VSAT for VIN>VREF
= -VSAT for VIN<VREF
Important features of Op Amp
1. High open loop gain (ideally infinite)
which implies that even the smallest
difference between the two inputs
results into saturated output voltage
2. High input impedance (ideally infinite)
implies that there is no current
flowing into the input of an op amp
Virtual Ground
These two conditions give rise to VIRTUAL
GROUND, where the voltages at both the
inputs are maintained at exactly same level.
To achieve this condition, a feedback circuit
between the output and the inverting input
terminal of the op amp is necessary.
This results into many applications of op amp,
which qualify it to be OPERATIONAL:
adder, subtractor, multiplier, divider etc.
Op amp Applications
Inverting Amplifier
Multiplier/Divider circuit, whose gain is decided
by the values of resistors
Rf
Rin
Vin
Vout
+
Inverting Amplifier Analysis
Iin Rf
Rin
Vin
Vout
If
+
Due to virtual ground:
Iin= Vin / Rin= If = – ( Vout / Rf )
Vout= – (Rf / Rin ) Vin
Rf > Rin →multiplier Rf < Rin→ divider
Non-inverting Amplifier
Vin Vout
Rin
Rf
Iin
If
Vin
+
Due to virtual ground:
VINV = VNI = Vin
If = (Vout–Vin) / Rf = Iin= Vin / Rin
Vout = [1+ (Rf / Rin )] Vin
Unity Gain Amplifier
(Non-inverting Buffer)
+
–
Vin
Vout=Vin
Inverting Adder
V2
V3
V1
R3
R2
R1
Rf
+
Vout
Vout= Rf [(V1 / R1)+ (V2 / R2)+ (V3 / R3)]
Subtractor
Vout
V2
V1
Rf
Rf
Rin
Rin
Vout= Rf (V2–V1)/ Rin
Subtractor Analysis
Vout = – V1Rf / Rin + [1+ (Rf / Rin )] V’
= Rf (V2 – V1) / Rin
V2
V1
Rf
Rin
Rf
Rin
Vout
V’
V’ = V2Rf / (Rf+Rin)
V2
Op amp integrator
Vin
Vout
Rin
Cf
Vout= – (1 / Rin Cf ) ∫ Vin dt
Iin
If
Iin= Vin / Ri n= If = – Cf ( dVout / dt )
Op amp Differentiator
Vin
Vout
Cin Rf
Vout= – Rf Cin (dVin / dt )
If
Iin
Iin= CindVin /dt = If = – Vout / Rf
Op amp Characteristics
Common Mode Rejection Ratio
(CMRR)
• It is the ability of an op amp to reject the
signal which is present at its both inputs
simultaneously i.e. the common mode
signal
• CMRR = AOL / ACM, where ACM is common
mode voltage gain defined by Vout / VCM
• Ideally CMRR is infinite
• For IC 741 it is 90 dB
Slew Rate
• Maximum rate of change of output
voltage (when typically a step voltage is
given at the input terminal)
Step
Input
Vout
t
dVout / dt
Slew Rate (cont…)
• Slew rate is caused by the finite response
time of the circuit elements of an op amp
• It limits the highest possible frequency of
operation
Vin
Vout
Expected
Voltage
t
Open Loop Gain
• AOL is ideally infinite
• In case of typical practical op amp like
IC 741 it is of the order of 105 i.e.
about 100 dB
Input Resistance
• RI is ideally infinite
• In case of IC 741 it is 2 MΩ
Output Resistance
• RO is ideally zero
• In case of IC 741 it is 75 Ω
Input Offset Voltage
• Small voltage needed to be applied
between INV and NI terminals to get
zero output voltage
• Ideally it should be 0 V (CM operation)
Output Offset Voltage
• Under common mode operation, output
voltage should be zero, but due to
mismatch is devices it is non-zero
(Can be corrected by applying voltage
between Pins 1 and 5 of IC 741)
Summary
• Op amp can be used for various
(mathematical) operations like addition,
subtraction, multiplication, division,
differentiation, integration etc.
• Infinite open loop gain and infinite input
resistance give rise to VIRTUAL GROUND
• Op amp is available in a simple to use IC
form which require dual supply
• Many other applications can be
implemented using op amp
ACKNOWLEDGMENT
Some circuits in this presentation are
based on following materials:
• HANDBOOK OF OPERATIONAL
AMPLIFIER APPLICATIONS
by Texas Instruments
• www.williamson-labs.com
Thank you !

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OPERATIONAL AMP.ppt