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Presented by
Dr. R. RAJA, M.E., Ph.D.,
Assistant Professor, Department of EEE,
Muthayammal Engineering College, (Autonomous)
Namakkal (Dt), Rasipuram – 637408
19EEC03-Linear Integrated Circuits and Its Applications
MUTHAYAMMAL ENGINEERING COLLEGE
(An Autonomous Institution)
(Approved by AICTE, New Delhi, Accredited by NAAC, NBA & Affiliated to Anna University),
Rasipuram - 637 408, Namakkal Dist., Tamil Nadu.
Unit I:Characteristics of Opamp
Block diagram of a typical op-amp – characteristics of ideal and practical op-amp -
parameters of opamp – inverting and non-inverting amplifier configurations -
frequency response - circuit stability.
8/12/2020 2
Block Diagram of A Typical Op-amp
What is an operational amplifier (op-amp)?
 An op-amp is a multi-stage , direct coupled, high gain negative feedback amplifier
that has one or more differential amplifiers and its concluded with a level translator
and an output stage. A voltage-shunt feedback is provided in an op-amp to obtain a
stabilized voltage gain.
 The main use of an op-amp is to amplify ac and dc input signals and was initially
used for basic mathematical operations such as addition, subtraction,
multiplication, differentiation and integration. Nowadays , the application of op-
amp’s varies from ac and dc signal amplification to use in active filters, oscillators,
comparators, voltage regulators, instrumentation and control systems, pulse
generators, square wave generators and many more electronic circuits.
8/12/2020 3
Contd..
 For the design of all these circuits the op-amp’s are manufactured with
integrated transistors, diodes, capacitors and resistors, thus making it an
extremely compact, multi tasking, low cost, highly reliable and temperature
stable integrated circuit.
 It is also designed in such a way that the external characteristics can be changed
with the addition of external components like capacitors and resistors.
 Thus it can act as a complete amplifier with various characteristics.
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Block Diagram of Operational Amplifier (Op-amp)
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Contd..
 The op-amp begins with a differential amplifier stage, which operates in the
differential mode. Thus the inputs noted with ‘+’ & ‘- ‘ .
 The positive sign is for the non-inverting input and negative is for the inverting
input.
 The non-inverting input is the ac signal (or dc) applied to the differential
amplifier which produces the same polarity of the signal at the output of op-
amp.
 The inverting signal input is the ac signal (or dc) applied to the differential
amplifier. This produces a 180 degrees out of phase signal at the output.
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Contd..
 The inverting and non-inverting inputs are provided to the input stage which is
a dual input, balanced output differential amplifier.
 The voltage gain required for the amplifier is provided in this stage along with
the input resistance for the op-amp.
 The output of the initial stage is given to the intermediate stage, which is driven
by the output of the input stage.
 In this stage direct coupling is used, which makes the dc voltage at the output of
the intermediate stage above ground potential.
 Therefore, the dc level at its output must be shifted down to 0Volts with respect
to the ground.
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Contd..
 For this, the level shifting stage is used where usually an emitter follower with
the constant current source is applied.
 The level shifted signal is then given to the output stage where a push-pull
amplifier increases the output voltage swing of the signal and also increases the
current supplying capability of the op-amp.
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Symbol of Operational Amplifier (Op-amp)
The schematic symbol of an op-amp is shown below.
The above shown symbol is the most widely used op-amp symbol for all electronic
circuits.
V1 (Volts) – Non-inverting input voltage.
V2 (Volts) – Inverting input voltage.
V0 (Volts) – Output voltage
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Characteristics of Operational Amplifiers (Op-amp)
 High input impedance- More than 100kilo ohms.
 Low output – Less than 100 ohms.
 Amplifier signals with frequency range from 0Hz to 1MHz.
 Low offset voltage and low offset current.
 Very high voltage gain – About 2,00,000.
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Basic operational amplifier circuits
 Shown below is a differential amplifier circuit that is modified to use an op-
amp. This constitutes the basic op-amp circuit and explains about the input
characteristics of a typical op-amp IC.
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Contd..
 The basic configuration of the circuit is drawn above.
 Two transistors Q1 and Q2 are provided, in which the input is provided to the
base of both the transistors.
 Both the transistor emitters are connected to a common emitter RE so that the
two input signals are affected by either or both input signals.
 Two supply voltages VCC and VEE are connected to both the collectors and
emitters QI and Q2.
 In the circuit diagram, there is no indication of common ground point.
 It must be understood that the opposite points of both positive and negative
voltage supplies are connected to the ground.
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Contd..
 When input at point 1(V1) increases , the emitter current of transistor Q1
increases, and thus causes an increase of voltage at top of the emitter resistance
RE.
 Thus it decreases the base-emitter voltage VBE of transistor Q2.
 Thus, when VBE of Q2 decreases, there is less current flow in the transistor
Q2.This brings a voltage drop in the collector resistance RC and an increase in
the output voltage VOUT as it is the difference between the collector supply
voltage VCC and voltage drop in collector resistance RC (ICRC).
 This brings us to the conclusion that there is will be an increase in output
voltage when there is an increase in input voltage V1.
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Contd..
 This why V1 is considered as the non-inverting input.
 Vout is in phase with V1.
 In another instant, when the voltage V2 increases, the collector current of Q2
increases, and makes way for a voltage drop in collector resistance and thus a
decreased output voltage VOUT.
 This is why V2 is considered as the inverting input. VOUT is 180 degrees out
of phase with V2.
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Contd..
Transistor
Definition: The transistor is a semiconductor device which transfers a weak signal
from low resistance circuit to high resistance circuit. The words trans mean transfer
property and Transistor mean resistance property offered to the junctions. In other
words, it is a switching device which regulates and amplify the electrical signal likes
voltage or current.
8/12/2020 15
Ideal op-amp characteristics
 An ideal op amp is usually considered to have the following characteristics
 Infinite open-loop gain G = vout / vin
 Infinite input impedance Rin, and so zero input current
 Zero input offset voltage
 Infinite output voltage range
 Infinite bandwidth with zero phase shift and infinite slew rate
 Zero output impedance Rout
 Zero noise
 Infinite common-mode rejection ratio (CMRR)
 Infinite power supply rejection ratio.
These ideals can be summarized by the two "golden rules":
 In a closed loop the output attempts to do whatever is necessary to make the
voltage difference between the inputs zero.
 The inputs draw no current.
8/12/2020 16
Practical Op-amp Characteristics
Operational amplifier or op amps as they are usually referred are linear devices that
can give ideal DC amplification. They are fundamentally voltage amplifying devices
used with external feedback components like resistors or capacitors. An op amp is a
three terminal device, with one terminal called the inverting input, other the non-
inverting input and the last one is the output. Below is a diagram of a typical op amp:
As you can see from the diagram, op amp has three terminals for input and output
and 2 for power supply.
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Contd..
Open Loop Voltage Gain(A)
The open loop voltage gain without any feedback for an ideal op amp is infinite. But
typical values of open loop voltage gain for a real op amp ranges from 20,000 to 2,
00,000. Let the input voltage be Vin. Let A be the open loop voltage gain. Then the
output voltage is Vout = AVin. The value of a typically is in the range specified above
but for an ideal op amp, it is infinite.
Input Impedance(Zin)
Input Impedance is defined as the input voltage by the input current. The input
impedance of an ideal op amp is infinite. That is there no current flowing in the input
circuit. However, an ideal op amp has certain current flowing in the input circuit of
the magnitude of few pico-amps to a few milli-amps.
8/12/2020 18
Contd..
Output Impedance (Zout)
Output impedance is defined as the ratio of the output voltage to the input current. The
output impedance of an ideal op amp is zero, however, real op amps have an output
impedance of 10-20 kΩ. An ideal op amp behaves like a perfect voltage source
delivering current without any internal losses. The internal resistance reduce the voltage
available to the load.
Bandwidth(BW)
An ideal op amp has an infinite bandwidth that is it can amplify any signal from DC to
the highest AC frequencies without any losses. So therefore, an ideal op amp is said to
have infinite frequency response. In real op amps, the bandwidth is generally limited.
The limit depends on the gain bandwidth (GB) product. GB is defined as the frequency
where the amplifier gain becomes unity.
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Contd..
Offset Voltage(Vio)
The offset voltage of an ideal op amp is zero, which means that the output voltage
will be zero if the difference between the inverting and non-inverting terminal is
zero. If both the terminals are grounded, the output voltage will be zero. But real op
amps have an offset voltage.
Common Mode Rejection Ratio(CMRR)
Common mode refers to the situation when the same voltage is applied to both the
inverting and non-inverting terminal of the op amp. The common mode rejection
refers to the ability of the op amp to reject the common mode signal. Now we are in
a position to understand the term common mode rejection ratio.
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Contd..
 The common mode rejection ratio refers to the measure of the ability of the op
amp to reject the common mode signal. Mathematically it is defined as
 Where, AD is the differential gain of the op amp, ∞ for an ideal op amp.
ACM refers to the common mode gain of the op-amp.
 The CMRR of an ideal op amp is ∞. That means it is able to reject all common
mode signal. Also from the formula, we can see the AD is infinite for an ideal
op amp and ACM is zero. Therefore the CMRR of an ideal op-amp is infinite.
Therefore it will reject any signal which is common to both.
 However, real omp have finite CMRR, and does not reject all common mode
signals.
8/12/2020 21
Comparing Ideal and Practical OPAMP
Sl.No Ideal OPAMP Practical OPAMP
1. Infinite voltage gain, so that it
can amplify input signals of any
amplitude.
Voltage gain is not infinite, but typically
10^5 to 10^8, so it is not able to amplify
input signals smaller than 100 uV.
2. Infinite input resistance, so that
almost any signal source can
drive it and there is no loading of
preceding stage.
Input resistance is typically 10^6 to
10^12 ohm (for FET input Op-Amps
such as uAF771), so still it draws some
current and not all source can drive it.
3. Zero output resistance, so that
output can drive an infinite
number of other devices.
Output resistance is typically 75 ohm for
standard Op-Amps, so it has limit to
deliver current to output devices.
8/12/2020 22
Contd..
4.
Zero output voltage when input
voltage is zero.
It is not able to give zero at output
when input is zero, due to
mismatching of input transistors.
5.
Infinite bandwidth, so that any
frequency signal can be amplified
without attenuation.
Op-Amp has its own Gain-Bandwidth
product, so input frequency should not
exceed from that particular frequency
range at desired gain.
6. Infinite common-mode rejection
ratio, so that the output common-
mode noise voltage is zero.
CMRR is typically 90 dB, so still it
gives output voltage even if both input
terminals are shorted.
7.
Infinite slew rate, so that output
voltage changes occur
simultaneously with input voltage
changes.
Slew rate is typically 0.5 to 90 V/uS
(for improved Op-Amp such as
LM318), so output cannot be change
simultaneously with input, there is
some delay.
8/12/2020 23
Contd..
8/12/2020 24
Parameters of Opamp
8/12/2020 25
Inverting and Non-inverting Amplifier Configurations
8/12/2020 26
In this Inverting Amplifier circuit the operational amplifier is connected with
feedback to produce a closed loop operation. When dealing with operational
amplifiers there are two very important rules to remember about inverting amplifiers,
these are: “No current flows into the input terminal” and that “V1 always equals V2”.
However, in real world op-amp circuits both of these rules are slightly broken.
Contd..
 This is because the junction of the input and feedback signal ( X ) is at the same
potential as the positive ( + ) input which is at zero volts or ground then, the
junction is a “Virtual Earth”. Because of this virtual earth node the input
resistance of the amplifier is equal to the value of the input resistor, Rin and the
closed loop gain of the inverting amplifier can be set by the ratio of the two
external resistors.We said above that there are two very important rules to
remember about Inverting Amplifiers or any operational amplifier for that
matter and these are.
 No Current Flows into the Input Terminals
 The Differential Input Voltage is Zero as V1 = V2 = 0 (Virtual Earth)
 Then by using these two rules we can derive the equation for calculating the
closed-loop gain of an inverting amplifier, using first principles.
8/12/2020 27
Contd..
Current ( i ) flows through the resistor network as shown.
8/12/2020 28
Contd..
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Contd..
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Contd..
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Contd..
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Contd..
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Contd..
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Contd..
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Contd..
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Contd..
 We can see from the equation above, that the overall closed-loop gain of a non-
inverting amplifier will always be greater but never less than one (unity), it is
positive in nature and is determined by the ratio of the values of Rƒ and R2.
 If the value of the feedback resistor Rƒ is zero, the gain of the amplifier will be
exactly equal to one (unity). If resistor R2 is zero the gain will approach
infinity, but in practice it will be limited to the operational amplifiers open-loop
differential gain, ( AO ).
 We can easily convert an inverting operational amplifier configuration into a
non-inverting amplifier configuration by simply changing the input connections
as shown.
8/12/2020 37
Contd..
8/12/2020 38
Contd..
 As the input signal is connected directly to the non-inverting input of the
amplifier the output signal is not inverted resulting in the output voltage being
equal to the input voltage, Vout = Vin. This then makes the voltage follower
circuit ideal as a Unity Gain Buffer circuit because of its isolation properties.
 The advantage of the unity gain voltage follower is that it can be used when
impedance matching or circuit isolation is more important than amplification as
it maintains the signal voltage. The input impedance of the voltage follower
circuit is very high, typically above 1MΩ as it is equal to that of the operational
amplifiers input resistance times its gain ( Rin x AO ). Also its output
impedance is very low since an ideal op-amp condition is assumed.
8/12/2020 39
Contd..
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Contd..
8/12/2020 41
Contd..
 The voltage follower or unity gain buffer is a special and very useful type of
Non-inverting amplifier circuit that is commonly used in electronics to
isolated circuits from each other especially in High-order state variable or
Sallen-Key type active filters to separate one filter stage from the other. Typical
digital buffer IC’s available are the 74LS125 Quad 3-state buffer or the more
common 74LS244 Octal buffer.
 One final thought, the closed loop voltage gain of a voltage follower circuit is
“1” or Unity. The open loop voltage gain of an operational amplifier with no
feedback is Infinite. Then by carefully selecting the feedback components we
can control the amount of gain produced by a non-inverting operational
amplifier anywhere from one to infinity.
 Thus far we have analysed an inverting and non-inverting amplifier circuit that
has just one input signal, Vin. In the next tutorial about Operational Amplifiers,
we will examine the effect of the output voltage, Vout by connecting more
inputs to the amplifier. This then produces another common type of operational
amplifier circuit called a Summing Amplifier which can be used to “add”
together the voltages present on its inputs.
8/12/2020 42
Frequency Response
 The variation in operating frequency will cause variations in gain magnitude
and its phase angle. The manner in which the gain of the op-amp responds to
different frequencies is called the frequency response.
 Op-amp should have an infinite bandwidth Bw =∞ (i.e) if its open loop gain in
90dB with dc signal its gain should remain the same 90 dB through audio and
onto high radio frequency.
 The op-amp gain decreases (roll-off) at higher frequency what reasons to
decrease gain after a certain frequency reached. There must be a capacitive
component in the equivalent circuit of the op-amp. For an op-amp with only
one break (corner) frequency all the capacitors effects can be represented by a
single capacitor C. Below fig is a modified variation of the low frequency
model with capacitor C at the o/p.8/12/2020 43
Contd..
8/12/2020 44
There is one pole due to R0 C and one -20dB/decade.
The open loop voltage gain of an op-amp with only one corner frequency is
obtained from above fig. f1 is the corner frequency or the upper 3 dB frequency of
the op-amp.
The magnitude and phase angle of the open loop volt gain are fu of frequency can
be written as,
Contd..
1. For frequency f<< f1 the magnitude of the gain is 20 log AOL in dB. ]
2. At frequency f = f1 the gain in 3 dB down from the dc value of AOL in dB. This
frequency f1 is called corner frequency.
3. For f>> f1 the fain roll-off at the rate off -20dB/decade or -6dB/decade.
8/12/2020 45
Contd..
8/12/2020 46
From the phase characteristics that the phase angle is zero at frequency f =0. At the
corner frequency f1 the phase angle is -450 (lagging and a infinite frequency the
phase angle is -900 .
Contd..
8/12/2020 47
It shows that a maximum of 900 phase change can occur in an op-amp with a single
capacitor C. Zero frequency is taken as te decade below the corner frequency and
infinite frequency is one decade above the corner frequency
Circuit Stability of op-amp
Circuit Stability:
A circuit or a group of circuit connected together as a system is said to be stable, if
its o/p reaches a fixed value in a finite time. (or) A system is said to be unstable, if its
o/p increases with time instead of achieving a fixed value. In fact the o/p of an
unstable sys keeps on increasing until the system break down. The unstable system
are impractical and need be made stable. The criteriangn for stability is used when
the system is to be tested practically. In theoretically, always used to test system for
stability , ex: Bode plots.
8/12/2020 48
Contd..
Bode plots are compared of magnitude Vs Frequency and phase angle Vs frequency.
Any system whose stability is to be determined can represented by the block
diagram.
The block between the output and input is referred to as forward block and the block
between the output signal and f/b signal is referred to as feedback block. The content
of each block is referred
8/12/2020 49
Contd..
Transfer frequency‘ From fig we represented it by AOL (f) which is given by
AOL (f) = V0 /Vin if Vf = 0. -----(1)
where AOL (f) = open loop volt gain. The closed loop gain Af is given by
AF = V0 /Vin
AF = AOL / (1+(AOL ) (B) ----(2)
B = gain of feedback circuit.
B is a constant if the feedback circuit uses only resistive components. Once the
magnitude Vs frequency and phase angle Vs frequency plots are drawn, system
stability may be determined as follows
8/12/2020 50
Contd..
Method:1:
Determine the phase angle when the magnitude of (AOL ) (B) is 0dB (or) 1. If phase
angle is > .-1800 , the system is stable. However, the some systems the magnitude
may never be 0, in that cases method 2, must be used.
Method 2:
Determine the phase angle when the magnitude of (AOL ) (B) is 0dB (or) 1. If phase
angle is > .-1800 , If the magnitude is –ve decibels then the system is stable.
However, the some systems the phase angle of a system may reach -1800 , under
such conditions method 1 must be used to determine the system stability.
8/12/2020 51
Contd..
Slew Rate
Another important frequency related parameter of an op-amp is the slew rate. (Slew
rate is the maximum rate of change of output voltage with respect to time. Specified
in V/μs).
Reason for Slew rate: There is usually a capacitor within 0, outside an op-amp
oscillation. It is this capacitor which prevents the o/p voltage from fast changing
input. The rate at which the volt across the capacitor increases is given by
dVc/dt = I/C --------(1)
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Contd..
 I -> Maximum amount furnished by the op-amp to capacitor C.
 Op-amp should have the either a higher current or small compensating
capacitors. For 741 IC, the maximum internal capacitor charging current is
limited to about 15μA. So the slew rate of 741 IC is SR = dVc/dt |max =
Imax/C .
 For a sine wave input, the effect of slew rate can be calculated as consider volt
follower -> The input is large amp, high frequency sine wave .
 If Vs = Vm Sinwt then output V0 = Vm sinwt . The rate of change of output is
given by dV0/dt = Vm w coswt.
8/12/2020 53
Contd..
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Contd..
 The max rate of change of output across when coswt =1
(i.e) SR = dV0/dt |max = wVm. SR = 2ΠfVm V/s = 2ΠfVm v/ms.
 Thus the maximum frequency fmax at which we can obtain an undistorted
output volt of peak value Vm is given by fmax (Hz) = Slew rate/6.28 * Vm .
called the full power response.
 It is maximum frequency of a large amplitude sine wave with which op-amp
can have without distortion.
8/12/2020 55
The IC 741 Op-Amp tutorial and Characteristics
 It is the basic building block of analog electronic circuits that accomplish a
different types of analog signal processing tasks.
 These ICs uses an exterior feedback to regulate its functions and these
components are used as a multipurpose device in various electronic instruments.
 It consists of two inputs an two outputs, namely inverting and non inverting
terminals.this 741 IC is most commonly used in various electrical and
electronic circuits.
 The main intention of this 741 op amp is to strengthen AC & DC signals and
for mathematical operations.
 The applications of operational amplifier mainly involve in filters, comparators,
pulse generators, oscillators, etc.
8/12/2020 56
IC 741 Operational Amplifier
 The IC 741 operational amplifier looks like a small chip.
 The representation of 741 IC op-amp is given below that comprises of eight pins.
The most significant pins are 2,3 and 6, where pin2 and 3 are pin 2 and 3 denote
inverting & non-inverting terminals and pin6 denotes output voltage.
 The triangular form in the IC signifies an op-amp integrated circuit.
 The current version of the chip is denoted by the famous IC 741 op amp.
 The main function of this IC 741 is to do mathematical operations in various
circuits. IC 741 op amp is made from various stages of transistor which commonly
have three stages like differential i/p, a push-pull o/p and an intermediate gain
stage.
 The differential op-amps comprises of a set of FETs or BJTs.
8/12/2020 57
Pin Diagram of IC 741 Op-Amp
8/12/2020 58
The pin configuration of the IC 741 operational amplifier is shown below. It
comprises of eight pins where the function of each pin is discussed below.
Pin-1 is Offset null.
Pin-2 is Inverting (-) i/p terminal.
Pin-3 is a non-inverting (+) i/p terminal.
Pin-4 is -Ve voltage supply (VCC)
Pin-5 is offset null.
Pin-6 is the o/p voltage.
Pin-7 is +ve voltage supply (+VCC)
Pin-8 is not connected.
IC 741 Op-Amp Circuit Diagram
 The IC 741 Op Amp applications mainly
includes an adder, comparator, subtractor,
voltage follower, Integrator and
differentiator.
 The circuit diagram of IC 741 op amp is
given below. In the following circuit, IC
741 operational amplifier is used as a
comparator.
 Even if we used as a comparator the IC still
observes the weak signals so that they can
be identified more simply.
8/12/2020 59
Specifications of IC 741 Op-Amp
The IC 741 specifications are; input Bias Current, Input offset current and input
offset voltage, input Capacitance, Differential input Resistance, Adjustment Range
of Offset Voltage, Common Mode Rejection Ratio (CMRR), Range of i/p Voltage,
Slew Rate (SR), power Consumption, Supply Voltage Rejection Ratio (SVRR),
Transient Response
8/12/2020 60
IC 741 Op-Amp Characteristics
The characteristics of the IC 741 operational amplifier include the following
 The Input impedance of the IC 741 op amp is above 100kilo-ohms.
 The o/p of the 741 IC op amp is below 100 ohms.
 The frequency range of amplifier signals for IC 741 op amp is from 0Hz- 1MHz.
 Offset current and offset voltage of the IC 741 op amp is low
 The voltage gain of the IC 741 op amp is about 2,00,000.
8/12/2020 61
IC 741 Op-Amp Applications
 There are many electronic circuits are built with IC 741 op amp namely Voltage
follower, analog to digital converter, sample and hold circuit, voltage to current
and current to voltage converting, summing amplifier, etc. The applications of
the IC 741 operational amplifier include the following.
1. Variable audio frequency oscillator using IC 741 Op Amp
2. IC 741 Op Amp based Adjustable Ripple RPS
3. Audio mixture for Four channels using IC 741 Op Amp
4. DC volt polarity meter using IC 741 Op Amp
5. Microphone Amplifier using IC 741 Op Amp and etc..
8/12/2020 62
APPLICATIONS OF OP-AMP
(INVERTING AND NON – INVERTING AMPLIFIER)
Inverting Amplifier
8/12/2020 63
Contd..
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Contd..
Non - Inverting Amplifier
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Contd..
8/12/2020 66
Thank you
8/12/2020 67

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Unit-I Characteristics of opamp

  • 1. Presented by Dr. R. RAJA, M.E., Ph.D., Assistant Professor, Department of EEE, Muthayammal Engineering College, (Autonomous) Namakkal (Dt), Rasipuram – 637408 19EEC03-Linear Integrated Circuits and Its Applications MUTHAYAMMAL ENGINEERING COLLEGE (An Autonomous Institution) (Approved by AICTE, New Delhi, Accredited by NAAC, NBA & Affiliated to Anna University), Rasipuram - 637 408, Namakkal Dist., Tamil Nadu.
  • 2. Unit I:Characteristics of Opamp Block diagram of a typical op-amp – characteristics of ideal and practical op-amp - parameters of opamp – inverting and non-inverting amplifier configurations - frequency response - circuit stability. 8/12/2020 2
  • 3. Block Diagram of A Typical Op-amp What is an operational amplifier (op-amp)?  An op-amp is a multi-stage , direct coupled, high gain negative feedback amplifier that has one or more differential amplifiers and its concluded with a level translator and an output stage. A voltage-shunt feedback is provided in an op-amp to obtain a stabilized voltage gain.  The main use of an op-amp is to amplify ac and dc input signals and was initially used for basic mathematical operations such as addition, subtraction, multiplication, differentiation and integration. Nowadays , the application of op- amp’s varies from ac and dc signal amplification to use in active filters, oscillators, comparators, voltage regulators, instrumentation and control systems, pulse generators, square wave generators and many more electronic circuits. 8/12/2020 3
  • 4. Contd..  For the design of all these circuits the op-amp’s are manufactured with integrated transistors, diodes, capacitors and resistors, thus making it an extremely compact, multi tasking, low cost, highly reliable and temperature stable integrated circuit.  It is also designed in such a way that the external characteristics can be changed with the addition of external components like capacitors and resistors.  Thus it can act as a complete amplifier with various characteristics. 8/12/2020 4
  • 5. Block Diagram of Operational Amplifier (Op-amp) 8/12/2020 5
  • 6. Contd..  The op-amp begins with a differential amplifier stage, which operates in the differential mode. Thus the inputs noted with ‘+’ & ‘- ‘ .  The positive sign is for the non-inverting input and negative is for the inverting input.  The non-inverting input is the ac signal (or dc) applied to the differential amplifier which produces the same polarity of the signal at the output of op- amp.  The inverting signal input is the ac signal (or dc) applied to the differential amplifier. This produces a 180 degrees out of phase signal at the output. 8/12/2020 6
  • 7. Contd..  The inverting and non-inverting inputs are provided to the input stage which is a dual input, balanced output differential amplifier.  The voltage gain required for the amplifier is provided in this stage along with the input resistance for the op-amp.  The output of the initial stage is given to the intermediate stage, which is driven by the output of the input stage.  In this stage direct coupling is used, which makes the dc voltage at the output of the intermediate stage above ground potential.  Therefore, the dc level at its output must be shifted down to 0Volts with respect to the ground. 8/12/2020 7
  • 8. Contd..  For this, the level shifting stage is used where usually an emitter follower with the constant current source is applied.  The level shifted signal is then given to the output stage where a push-pull amplifier increases the output voltage swing of the signal and also increases the current supplying capability of the op-amp. 8/12/2020 8
  • 9. Symbol of Operational Amplifier (Op-amp) The schematic symbol of an op-amp is shown below. The above shown symbol is the most widely used op-amp symbol for all electronic circuits. V1 (Volts) – Non-inverting input voltage. V2 (Volts) – Inverting input voltage. V0 (Volts) – Output voltage 8/12/2020 9
  • 10. Characteristics of Operational Amplifiers (Op-amp)  High input impedance- More than 100kilo ohms.  Low output – Less than 100 ohms.  Amplifier signals with frequency range from 0Hz to 1MHz.  Low offset voltage and low offset current.  Very high voltage gain – About 2,00,000. 8/12/2020 10
  • 11. Basic operational amplifier circuits  Shown below is a differential amplifier circuit that is modified to use an op- amp. This constitutes the basic op-amp circuit and explains about the input characteristics of a typical op-amp IC. 8/12/2020 11
  • 12. Contd..  The basic configuration of the circuit is drawn above.  Two transistors Q1 and Q2 are provided, in which the input is provided to the base of both the transistors.  Both the transistor emitters are connected to a common emitter RE so that the two input signals are affected by either or both input signals.  Two supply voltages VCC and VEE are connected to both the collectors and emitters QI and Q2.  In the circuit diagram, there is no indication of common ground point.  It must be understood that the opposite points of both positive and negative voltage supplies are connected to the ground. 8/12/2020 12
  • 13. Contd..  When input at point 1(V1) increases , the emitter current of transistor Q1 increases, and thus causes an increase of voltage at top of the emitter resistance RE.  Thus it decreases the base-emitter voltage VBE of transistor Q2.  Thus, when VBE of Q2 decreases, there is less current flow in the transistor Q2.This brings a voltage drop in the collector resistance RC and an increase in the output voltage VOUT as it is the difference between the collector supply voltage VCC and voltage drop in collector resistance RC (ICRC).  This brings us to the conclusion that there is will be an increase in output voltage when there is an increase in input voltage V1. 8/12/2020 13
  • 14. Contd..  This why V1 is considered as the non-inverting input.  Vout is in phase with V1.  In another instant, when the voltage V2 increases, the collector current of Q2 increases, and makes way for a voltage drop in collector resistance and thus a decreased output voltage VOUT.  This is why V2 is considered as the inverting input. VOUT is 180 degrees out of phase with V2. 8/12/2020 14
  • 15. Contd.. Transistor Definition: The transistor is a semiconductor device which transfers a weak signal from low resistance circuit to high resistance circuit. The words trans mean transfer property and Transistor mean resistance property offered to the junctions. In other words, it is a switching device which regulates and amplify the electrical signal likes voltage or current. 8/12/2020 15
  • 16. Ideal op-amp characteristics  An ideal op amp is usually considered to have the following characteristics  Infinite open-loop gain G = vout / vin  Infinite input impedance Rin, and so zero input current  Zero input offset voltage  Infinite output voltage range  Infinite bandwidth with zero phase shift and infinite slew rate  Zero output impedance Rout  Zero noise  Infinite common-mode rejection ratio (CMRR)  Infinite power supply rejection ratio. These ideals can be summarized by the two "golden rules":  In a closed loop the output attempts to do whatever is necessary to make the voltage difference between the inputs zero.  The inputs draw no current. 8/12/2020 16
  • 17. Practical Op-amp Characteristics Operational amplifier or op amps as they are usually referred are linear devices that can give ideal DC amplification. They are fundamentally voltage amplifying devices used with external feedback components like resistors or capacitors. An op amp is a three terminal device, with one terminal called the inverting input, other the non- inverting input and the last one is the output. Below is a diagram of a typical op amp: As you can see from the diagram, op amp has three terminals for input and output and 2 for power supply. 8/12/2020 17
  • 18. Contd.. Open Loop Voltage Gain(A) The open loop voltage gain without any feedback for an ideal op amp is infinite. But typical values of open loop voltage gain for a real op amp ranges from 20,000 to 2, 00,000. Let the input voltage be Vin. Let A be the open loop voltage gain. Then the output voltage is Vout = AVin. The value of a typically is in the range specified above but for an ideal op amp, it is infinite. Input Impedance(Zin) Input Impedance is defined as the input voltage by the input current. The input impedance of an ideal op amp is infinite. That is there no current flowing in the input circuit. However, an ideal op amp has certain current flowing in the input circuit of the magnitude of few pico-amps to a few milli-amps. 8/12/2020 18
  • 19. Contd.. Output Impedance (Zout) Output impedance is defined as the ratio of the output voltage to the input current. The output impedance of an ideal op amp is zero, however, real op amps have an output impedance of 10-20 kΩ. An ideal op amp behaves like a perfect voltage source delivering current without any internal losses. The internal resistance reduce the voltage available to the load. Bandwidth(BW) An ideal op amp has an infinite bandwidth that is it can amplify any signal from DC to the highest AC frequencies without any losses. So therefore, an ideal op amp is said to have infinite frequency response. In real op amps, the bandwidth is generally limited. The limit depends on the gain bandwidth (GB) product. GB is defined as the frequency where the amplifier gain becomes unity. 8/12/2020 19
  • 20. Contd.. Offset Voltage(Vio) The offset voltage of an ideal op amp is zero, which means that the output voltage will be zero if the difference between the inverting and non-inverting terminal is zero. If both the terminals are grounded, the output voltage will be zero. But real op amps have an offset voltage. Common Mode Rejection Ratio(CMRR) Common mode refers to the situation when the same voltage is applied to both the inverting and non-inverting terminal of the op amp. The common mode rejection refers to the ability of the op amp to reject the common mode signal. Now we are in a position to understand the term common mode rejection ratio. 8/12/2020 20
  • 21. Contd..  The common mode rejection ratio refers to the measure of the ability of the op amp to reject the common mode signal. Mathematically it is defined as  Where, AD is the differential gain of the op amp, ∞ for an ideal op amp. ACM refers to the common mode gain of the op-amp.  The CMRR of an ideal op amp is ∞. That means it is able to reject all common mode signal. Also from the formula, we can see the AD is infinite for an ideal op amp and ACM is zero. Therefore the CMRR of an ideal op-amp is infinite. Therefore it will reject any signal which is common to both.  However, real omp have finite CMRR, and does not reject all common mode signals. 8/12/2020 21
  • 22. Comparing Ideal and Practical OPAMP Sl.No Ideal OPAMP Practical OPAMP 1. Infinite voltage gain, so that it can amplify input signals of any amplitude. Voltage gain is not infinite, but typically 10^5 to 10^8, so it is not able to amplify input signals smaller than 100 uV. 2. Infinite input resistance, so that almost any signal source can drive it and there is no loading of preceding stage. Input resistance is typically 10^6 to 10^12 ohm (for FET input Op-Amps such as uAF771), so still it draws some current and not all source can drive it. 3. Zero output resistance, so that output can drive an infinite number of other devices. Output resistance is typically 75 ohm for standard Op-Amps, so it has limit to deliver current to output devices. 8/12/2020 22
  • 23. Contd.. 4. Zero output voltage when input voltage is zero. It is not able to give zero at output when input is zero, due to mismatching of input transistors. 5. Infinite bandwidth, so that any frequency signal can be amplified without attenuation. Op-Amp has its own Gain-Bandwidth product, so input frequency should not exceed from that particular frequency range at desired gain. 6. Infinite common-mode rejection ratio, so that the output common- mode noise voltage is zero. CMRR is typically 90 dB, so still it gives output voltage even if both input terminals are shorted. 7. Infinite slew rate, so that output voltage changes occur simultaneously with input voltage changes. Slew rate is typically 0.5 to 90 V/uS (for improved Op-Amp such as LM318), so output cannot be change simultaneously with input, there is some delay. 8/12/2020 23
  • 26. Inverting and Non-inverting Amplifier Configurations 8/12/2020 26 In this Inverting Amplifier circuit the operational amplifier is connected with feedback to produce a closed loop operation. When dealing with operational amplifiers there are two very important rules to remember about inverting amplifiers, these are: “No current flows into the input terminal” and that “V1 always equals V2”. However, in real world op-amp circuits both of these rules are slightly broken.
  • 27. Contd..  This is because the junction of the input and feedback signal ( X ) is at the same potential as the positive ( + ) input which is at zero volts or ground then, the junction is a “Virtual Earth”. Because of this virtual earth node the input resistance of the amplifier is equal to the value of the input resistor, Rin and the closed loop gain of the inverting amplifier can be set by the ratio of the two external resistors.We said above that there are two very important rules to remember about Inverting Amplifiers or any operational amplifier for that matter and these are.  No Current Flows into the Input Terminals  The Differential Input Voltage is Zero as V1 = V2 = 0 (Virtual Earth)  Then by using these two rules we can derive the equation for calculating the closed-loop gain of an inverting amplifier, using first principles. 8/12/2020 27
  • 28. Contd.. Current ( i ) flows through the resistor network as shown. 8/12/2020 28
  • 37. Contd..  We can see from the equation above, that the overall closed-loop gain of a non- inverting amplifier will always be greater but never less than one (unity), it is positive in nature and is determined by the ratio of the values of Rƒ and R2.  If the value of the feedback resistor Rƒ is zero, the gain of the amplifier will be exactly equal to one (unity). If resistor R2 is zero the gain will approach infinity, but in practice it will be limited to the operational amplifiers open-loop differential gain, ( AO ).  We can easily convert an inverting operational amplifier configuration into a non-inverting amplifier configuration by simply changing the input connections as shown. 8/12/2020 37
  • 39. Contd..  As the input signal is connected directly to the non-inverting input of the amplifier the output signal is not inverted resulting in the output voltage being equal to the input voltage, Vout = Vin. This then makes the voltage follower circuit ideal as a Unity Gain Buffer circuit because of its isolation properties.  The advantage of the unity gain voltage follower is that it can be used when impedance matching or circuit isolation is more important than amplification as it maintains the signal voltage. The input impedance of the voltage follower circuit is very high, typically above 1MΩ as it is equal to that of the operational amplifiers input resistance times its gain ( Rin x AO ). Also its output impedance is very low since an ideal op-amp condition is assumed. 8/12/2020 39
  • 42. Contd..  The voltage follower or unity gain buffer is a special and very useful type of Non-inverting amplifier circuit that is commonly used in electronics to isolated circuits from each other especially in High-order state variable or Sallen-Key type active filters to separate one filter stage from the other. Typical digital buffer IC’s available are the 74LS125 Quad 3-state buffer or the more common 74LS244 Octal buffer.  One final thought, the closed loop voltage gain of a voltage follower circuit is “1” or Unity. The open loop voltage gain of an operational amplifier with no feedback is Infinite. Then by carefully selecting the feedback components we can control the amount of gain produced by a non-inverting operational amplifier anywhere from one to infinity.  Thus far we have analysed an inverting and non-inverting amplifier circuit that has just one input signal, Vin. In the next tutorial about Operational Amplifiers, we will examine the effect of the output voltage, Vout by connecting more inputs to the amplifier. This then produces another common type of operational amplifier circuit called a Summing Amplifier which can be used to “add” together the voltages present on its inputs. 8/12/2020 42
  • 43. Frequency Response  The variation in operating frequency will cause variations in gain magnitude and its phase angle. The manner in which the gain of the op-amp responds to different frequencies is called the frequency response.  Op-amp should have an infinite bandwidth Bw =∞ (i.e) if its open loop gain in 90dB with dc signal its gain should remain the same 90 dB through audio and onto high radio frequency.  The op-amp gain decreases (roll-off) at higher frequency what reasons to decrease gain after a certain frequency reached. There must be a capacitive component in the equivalent circuit of the op-amp. For an op-amp with only one break (corner) frequency all the capacitors effects can be represented by a single capacitor C. Below fig is a modified variation of the low frequency model with capacitor C at the o/p.8/12/2020 43
  • 44. Contd.. 8/12/2020 44 There is one pole due to R0 C and one -20dB/decade. The open loop voltage gain of an op-amp with only one corner frequency is obtained from above fig. f1 is the corner frequency or the upper 3 dB frequency of the op-amp. The magnitude and phase angle of the open loop volt gain are fu of frequency can be written as,
  • 45. Contd.. 1. For frequency f<< f1 the magnitude of the gain is 20 log AOL in dB. ] 2. At frequency f = f1 the gain in 3 dB down from the dc value of AOL in dB. This frequency f1 is called corner frequency. 3. For f>> f1 the fain roll-off at the rate off -20dB/decade or -6dB/decade. 8/12/2020 45
  • 46. Contd.. 8/12/2020 46 From the phase characteristics that the phase angle is zero at frequency f =0. At the corner frequency f1 the phase angle is -450 (lagging and a infinite frequency the phase angle is -900 .
  • 47. Contd.. 8/12/2020 47 It shows that a maximum of 900 phase change can occur in an op-amp with a single capacitor C. Zero frequency is taken as te decade below the corner frequency and infinite frequency is one decade above the corner frequency
  • 48. Circuit Stability of op-amp Circuit Stability: A circuit or a group of circuit connected together as a system is said to be stable, if its o/p reaches a fixed value in a finite time. (or) A system is said to be unstable, if its o/p increases with time instead of achieving a fixed value. In fact the o/p of an unstable sys keeps on increasing until the system break down. The unstable system are impractical and need be made stable. The criteriangn for stability is used when the system is to be tested practically. In theoretically, always used to test system for stability , ex: Bode plots. 8/12/2020 48
  • 49. Contd.. Bode plots are compared of magnitude Vs Frequency and phase angle Vs frequency. Any system whose stability is to be determined can represented by the block diagram. The block between the output and input is referred to as forward block and the block between the output signal and f/b signal is referred to as feedback block. The content of each block is referred 8/12/2020 49
  • 50. Contd.. Transfer frequency‘ From fig we represented it by AOL (f) which is given by AOL (f) = V0 /Vin if Vf = 0. -----(1) where AOL (f) = open loop volt gain. The closed loop gain Af is given by AF = V0 /Vin AF = AOL / (1+(AOL ) (B) ----(2) B = gain of feedback circuit. B is a constant if the feedback circuit uses only resistive components. Once the magnitude Vs frequency and phase angle Vs frequency plots are drawn, system stability may be determined as follows 8/12/2020 50
  • 51. Contd.. Method:1: Determine the phase angle when the magnitude of (AOL ) (B) is 0dB (or) 1. If phase angle is > .-1800 , the system is stable. However, the some systems the magnitude may never be 0, in that cases method 2, must be used. Method 2: Determine the phase angle when the magnitude of (AOL ) (B) is 0dB (or) 1. If phase angle is > .-1800 , If the magnitude is –ve decibels then the system is stable. However, the some systems the phase angle of a system may reach -1800 , under such conditions method 1 must be used to determine the system stability. 8/12/2020 51
  • 52. Contd.. Slew Rate Another important frequency related parameter of an op-amp is the slew rate. (Slew rate is the maximum rate of change of output voltage with respect to time. Specified in V/μs). Reason for Slew rate: There is usually a capacitor within 0, outside an op-amp oscillation. It is this capacitor which prevents the o/p voltage from fast changing input. The rate at which the volt across the capacitor increases is given by dVc/dt = I/C --------(1) 8/12/2020 52
  • 53. Contd..  I -> Maximum amount furnished by the op-amp to capacitor C.  Op-amp should have the either a higher current or small compensating capacitors. For 741 IC, the maximum internal capacitor charging current is limited to about 15μA. So the slew rate of 741 IC is SR = dVc/dt |max = Imax/C .  For a sine wave input, the effect of slew rate can be calculated as consider volt follower -> The input is large amp, high frequency sine wave .  If Vs = Vm Sinwt then output V0 = Vm sinwt . The rate of change of output is given by dV0/dt = Vm w coswt. 8/12/2020 53
  • 55. Contd..  The max rate of change of output across when coswt =1 (i.e) SR = dV0/dt |max = wVm. SR = 2ΠfVm V/s = 2ΠfVm v/ms.  Thus the maximum frequency fmax at which we can obtain an undistorted output volt of peak value Vm is given by fmax (Hz) = Slew rate/6.28 * Vm . called the full power response.  It is maximum frequency of a large amplitude sine wave with which op-amp can have without distortion. 8/12/2020 55
  • 56. The IC 741 Op-Amp tutorial and Characteristics  It is the basic building block of analog electronic circuits that accomplish a different types of analog signal processing tasks.  These ICs uses an exterior feedback to regulate its functions and these components are used as a multipurpose device in various electronic instruments.  It consists of two inputs an two outputs, namely inverting and non inverting terminals.this 741 IC is most commonly used in various electrical and electronic circuits.  The main intention of this 741 op amp is to strengthen AC & DC signals and for mathematical operations.  The applications of operational amplifier mainly involve in filters, comparators, pulse generators, oscillators, etc. 8/12/2020 56
  • 57. IC 741 Operational Amplifier  The IC 741 operational amplifier looks like a small chip.  The representation of 741 IC op-amp is given below that comprises of eight pins. The most significant pins are 2,3 and 6, where pin2 and 3 are pin 2 and 3 denote inverting & non-inverting terminals and pin6 denotes output voltage.  The triangular form in the IC signifies an op-amp integrated circuit.  The current version of the chip is denoted by the famous IC 741 op amp.  The main function of this IC 741 is to do mathematical operations in various circuits. IC 741 op amp is made from various stages of transistor which commonly have three stages like differential i/p, a push-pull o/p and an intermediate gain stage.  The differential op-amps comprises of a set of FETs or BJTs. 8/12/2020 57
  • 58. Pin Diagram of IC 741 Op-Amp 8/12/2020 58 The pin configuration of the IC 741 operational amplifier is shown below. It comprises of eight pins where the function of each pin is discussed below. Pin-1 is Offset null. Pin-2 is Inverting (-) i/p terminal. Pin-3 is a non-inverting (+) i/p terminal. Pin-4 is -Ve voltage supply (VCC) Pin-5 is offset null. Pin-6 is the o/p voltage. Pin-7 is +ve voltage supply (+VCC) Pin-8 is not connected.
  • 59. IC 741 Op-Amp Circuit Diagram  The IC 741 Op Amp applications mainly includes an adder, comparator, subtractor, voltage follower, Integrator and differentiator.  The circuit diagram of IC 741 op amp is given below. In the following circuit, IC 741 operational amplifier is used as a comparator.  Even if we used as a comparator the IC still observes the weak signals so that they can be identified more simply. 8/12/2020 59
  • 60. Specifications of IC 741 Op-Amp The IC 741 specifications are; input Bias Current, Input offset current and input offset voltage, input Capacitance, Differential input Resistance, Adjustment Range of Offset Voltage, Common Mode Rejection Ratio (CMRR), Range of i/p Voltage, Slew Rate (SR), power Consumption, Supply Voltage Rejection Ratio (SVRR), Transient Response 8/12/2020 60
  • 61. IC 741 Op-Amp Characteristics The characteristics of the IC 741 operational amplifier include the following  The Input impedance of the IC 741 op amp is above 100kilo-ohms.  The o/p of the 741 IC op amp is below 100 ohms.  The frequency range of amplifier signals for IC 741 op amp is from 0Hz- 1MHz.  Offset current and offset voltage of the IC 741 op amp is low  The voltage gain of the IC 741 op amp is about 2,00,000. 8/12/2020 61
  • 62. IC 741 Op-Amp Applications  There are many electronic circuits are built with IC 741 op amp namely Voltage follower, analog to digital converter, sample and hold circuit, voltage to current and current to voltage converting, summing amplifier, etc. The applications of the IC 741 operational amplifier include the following. 1. Variable audio frequency oscillator using IC 741 Op Amp 2. IC 741 Op Amp based Adjustable Ripple RPS 3. Audio mixture for Four channels using IC 741 Op Amp 4. DC volt polarity meter using IC 741 Op Amp 5. Microphone Amplifier using IC 741 Op Amp and etc.. 8/12/2020 62
  • 63. APPLICATIONS OF OP-AMP (INVERTING AND NON – INVERTING AMPLIFIER) Inverting Amplifier 8/12/2020 63
  • 65. Contd.. Non - Inverting Amplifier 8/12/2020 65