Other Websites/Blogs Owners Please Do Not Copy (Or) Republish This Materials Without Legal Permission of The Publishers
Other Websites/Blogs Owners Please Do Not Copy (Or) Republish This Materials Without Legal Permission of The Publishers
net
ww
         w.E
            a           syE
                                     ngi
                                                nee
                                                               rin
                                                                     g.n
                                                                                et
LTPC
3003
UNIT I IC FABRICATION
Instrumentation amplifier and its applications for transducer Bridge, Log and Antilog Amplifiers- Analog
multiplier & Divider, first and second order active filters, comparators, multivibrators, waveform
generators, clippers, clampers, peak detector, S/H circuit, D/A converter (R- 2R ladder and weighted
resistor types), A/D converters using opamps.
Functional block, characteristics of 555 Timer and its PWM application - IC-566 voltage controlled
oscillator IC; 565-phase locked loop IC, AD633 Analog multiplier ICs.
AD623 Instrumentation Amplifier and its application as load cell weight measurement - IC voltage
regulators –LM78XX, LM79XX; Fixed voltage regulators its application as Linear power supply - LM317,
723 Variability voltage regulators, switching regulator- SMPS - ICL 8038 function generator IC.
TEXT BOOKS:
2. D. Roy Choudhary, Sheil B. Jani, ‘Linear Integrated Circuits’, II edition, New Age, 2003.
3. Ramakant A.Gayakward, ‘Op-amps and Linear Integrated Circuits’, IV edition, Pearson Education, 2003
/ PHI. 2000.
REFERENCES
1. Fiore,”Opamps & Linear Integrated Circuits Concepts & applications”, Cengage, 2010.
3. Jacob Millman, Christos C.Halkias, ‘Integrated Electronics - Analog and Digital circuits system’,
McGraw Hill, 2003.
4. Robert F.Coughlin, Fredrick F. Driscoll, ‘Op-amp and Linear ICs’, Pearson, 6th edition,2012.
5. Sergio Franco, ‘Design with Operational Amplifiers and Analog Integrated Circuits’, Mc Graw Hill,
2016.
6. Muhammad H. Rashid,’ Microelectronic Circuits Analysis and Design’ Cengage Learning, 2011.
                         Downloaded From : www.EasyEngineering.net
  w.E
REFERENCES:
       1. Fiore,‘Op-amps       &     Linear        Integrated      Circuits     Concepts      &
                         asy
          Applications’,Cengage,2010.
                             En
       2. Floyd , Buchla, ‘Fundamentals of Analog Circuits’, Pearson, 2013.
       3. Jacob Millman, Christos C.Halkias, ‘Integrated Electronics - Analog and
                                gin
          Digital circuits system’, Tata McGraw Hill, 2003.
       4. Robert F.Coughlin, Fredrick F. Driscoll, ‘Op-amp and Linear ICs’, PHI
 Sl.
                                    ee
          Learning, 6th edition, 2012.
                                                                   Hours
                                                                         rin  Cumulative          Books
 No
        Unit       Topic / Portions to be Covered               Required /
                                                                 Planned    g.n    Hrs        Referred
  1       I    IC classification
                                   UNIT I         IC FABRICATION
                                                                     1
                                                                               et   1              T2
               Fundamental of monolithic IC
  2       I                                                          1              2              T2
               technology
  3       I    Epitaxial growth                                      1              3              T2
  4       I    Masking and etching                                   1              4              T2
  5       I    Diffusion of impurities                               1              5              T2
               Realization of monolithic ICs and
  6       I                                                          1              6              T2
               packaging
  7       I    Fabrication of diodes                                 1              7              T2
8     I    Fabrication of capacitance                           1            8             T2
9     I    Fabrication of resistance                            1            9             T2
10    I    Fabrication of FETs                                  1            10            T2
                      UNIT II        CHARACTERISTICS OF OPAMP
11   II    Ideal OP-AMP characteristics                         1            11            T2
12   II    DC characteristics                                   1            12            T2
13   II    AC characteristics                                   1            13            T2
14   II    Differential amplifier                               1            14            T2
15   II    Frequency response of OP-AMP                         1            15            T2
           Basic applications of op-amp – Inverting
ww
16   II
           and Non-inverting Amplifiers
                                                                2            17            T2
17
18w.EII
     II
           V/I & I/V converters
           Summer, differentiator and integrator
                                                                1
                                                                2
                                                                             18
                                                                             20
                                                                                           T2
                                                                                           T2
25   III
           circuit
                                                                2
                                                                       g.n   28            T2
26
27
     III
     III
           D/A converter (R- 2R ladder and
           weighted resistor types)
           A/D converters using op-amps
                                                                1
                                                                1
                                                                          et 29
                                                                             30
                                                                                           T2
                                                                                           T2
                                    UNIT IV       SPECIAL ICs
28   IV    Functional block of 555 Timer                        1            31            T2
29   IV    Characteristics of 555 Timer                         1            32            T2
30   IV    Application circuits with 555 Timer                  2            34            T2
31   IV    IC-566 voltage controlled oscillator IC              1            35            T2
32   IV    IC 565-phase lock loop IC                            1            36            T2
33   IV    Analog multiplier ICs                                2            38            T2
                                UNIT V        APPLICATION ICs
ww
  w.E
                     asy
                         En
                            gin
                                ee                               rin
                                                                    g.n
                                                                       et
                                INDEX
  Unit No   Q.NO                 Content                    Page No
                    Cover page                                  1
                    Syllabus                                   2-3
                    Lesson plan                                4-6
     I      1-12    Part A                                     9-11
     I      1-5     Part B                                    11-25
                    Steps involved in fabrication of
     I       1                                                11-14
                    IC
                    Fabrication of diodes and
ww   I       2
                    capacitors
                                                              14-17
  w.EI
     I
             3
             4
                    Fabrication of Resistors & FET
                    Photolithography
                                                              17-21
                                                              21-23
     I
    II
             5
              asy
            1-15
                    Different IC packages
                    Part A
                                                              24-25
                                                              26-28
    II
    II
            1-6
             1    EnPart B
                    Dc characteristics of Op-amp
                                                              28-52
                                                              28-33
    II       2       gin
                    Ac characteristics of Op-amp              33-37
    II
    II
             3
             4           ee
                    Differentiator & Integrator
                    Differential amplifier
                    Inverting and Non-inverting           rin
                                                              37-41
                                                              42-45
    II       5
                    amplifier
                                                             g.n
                                                              45-48
    II
    III
    III
             6
            1-10
            1-5
                    Applications of Op-amp
                    Part A
                    Part B
                                                                et
                                                              48-52
                                                              53-54
                                                              55-68
    III      1      Instrumentation amplifier                 55-58
    III      2      Schmitt trigger                           58-60
    III      3      R-2R DAC                                  60-62
    III      4      Successive approx. type ADC               62-64
    III      5      II order LPF                              64-68
    IV      1-15    Part A                                    69-70
    IV      1-4     Part B                                    71-79
    IV       1      Monostable multivibrator                  71-72
         asy
             En
                gin
                    ee                               rin
                                                        g.n
                                                           et
                                             UNIT I
                                       IC FABRICATION
Part - A
1. Define an Integrated circuit.
       An integrated circuit(IC) is a miniature, low cost electronic circuit consisting of
active and passive components fabricated together on a single crystal of silicon. The
active components are transistors and diodes and passive components are resistors
and
capacitors
2. What are the basic processes involved in fabricating ICs using planar
ww
technology? (April/May 2015)
 1. Silicon wafer (substrate) preparation
  w.E
 2. Epitaxial growth
 3. Oxidation
 4. Photolithography
                             asy
 5. Diffusion
 6. Ion implantation             En
 7. Isolation technique
 8. Metallization
                                    gin
 9. Assembly processing & packaging
                                        ee
3. List out the steps used in the preparation of Si – wafers.
                                                                         rin
 1. Crystal growth &doping
 2. Ingot trimming & grinding                                               g.n
 3. Ingot slicing
 4. Wafer policing & etching
                                                                               et
 5. Wafer cleaning
4. Write the basic chemical reaction in the Epitaxial growth process of pure
silicon.
The basic chemical reaction in the Epitaxial growth process of pure silicon is the
Hydrogen reduction of silicon tetrachloride
                    1200oC
 SiCl 4 + 2H2 <-----------> Si + 4 HCl
ww
1150oC & at the same time, exposed to a gas containing O2 or H2O or both. The
chemical action is
                           asy
     Lithography is a process by which the pattern appearing on the mask is
                               En
transferred to the wafer. It involves two steps: the first step requires applying a few
drops of photo resist to the surface of the wafer & the second step is spinning the
                                  gin
surface to get an even coating of the photo resist across the surface of the wafer.
8. What are the two processes involved in photolithography?
a) Making a photographic mask :
                                      ee                               rin
          The development of photographic mask involves the preparation of initial
                                                                          g.n
artwork and its reduction, decomposition of initial artwork or layout into several mask
layers.
b) Photo etching :
                                                                             et
           Photo etching is used for the removal of SiO2 from desired regions so that the
desired impurities can be diffused.
    9. Define diffusion. (April/May 2015)
           The process of introducing impurities into selected regions of a silicon wafer
is called diffusion. The rate at which various impurities diffuse into the silicon will be of
the order of 1µm/hr at the temperature range of 900oC to 1100o C .The impurity atoms
have the tendency to move from regions of higher concentrations to lower
concentrations.
10
                          asy
       • Reduction in powerr consumption
12. Name the different types
                             cons
                        ypes IIC packages?
  There are three different
                • Metal can   En
                         nt pac
                            packages available. They are
                          n pack
                            package
                • Ceramic flat pagin
                               package
Part -B
                • Dual-in-line
  i.   Wafer Preparation:
       •   The starting material called
                                 ca     the substrate is a p-type silicon wafer. The wafers
           are usually 10cm diamet
                             iameter and 0.4mm thickness.
       •   The resistivity is 10Ω/cm
                                Ω/cm corresponding to the concentration of ac
                                                                           acceptor atom
           NA=1.4X1015atoms/cm
Step 1
                        p – Type substrate
                                 su
                        10 Ω – cm rresistivity NA = 1.4 x 1015 atoms/cm3      400 µm
  w.E
 ii.   Epitaxial growth:
       •
                             asy
           An n-type epitaxiall film is grown on the p-type as shown in fig. This
           becomes the collector
                            ctor re
                                                                             Th ultimately
                                 region of the transistor or an elementt of th
                                                                            the diode and
                                 En
           diffused capacitor assoc
                              associated with the circuit.
                                    gin
                            N – epi layer 0.1 – 0.5 Ω - cm                         5 – 25 µm
                            p – Typ
                                        ee
                                 ype substrate 10 Ω - cm
                                                                           rin
iii.   Oxidation
                                     Fig 1.2 Epitaxial growth
                                                                              g.n
       •
   Step 3
         A SiO2 layer of thickness
         layer.
                             kness of the order 0.02-2µcm is grown on the n
                                                                                 et
                                                                       he n-epitaxial
                     N – epi layer
                               yer 0.1
                                   0. – 0.5 Ω - cm                            5 – 25 µm
                     p – Type substr
                              substrate 10 Ω - cm
12
v.
          substrate.
      Base Diffusion:       asy
      •
                                En
          A new SiO2 layer is grown
                              gr    over entire pattern and a new pattern
                                                                   attern of opening
      •
          formed using photolitho
          Now p-type impurities    gin
                          tolithography technique.
                         rities such as Boron is diffused into the region
                                                                   regio of n-type
          epitaxial silicon the
          penetrate through n-laye     ee
                              e diffusion
                                diffu     of p-type silicon should be such that it should not
                              layer to the substrate.
                                                                        rin
                                                                           g.n
                                                                              et
                                        Fig 1.5 Base diffusion
vi.   Emitter Diffusion :
      •   A new type of SiO2 layer
                             laye is grown over the entire wafer and selec
                                                                     selectively etched
          to open a new set of win
                               windows and n-type impurity is diffused throug
                                                                       through them.
      •   This forms the transisto
                            nsistor emitter and cathode region.
13
 ww               in silicon and
                              nd can
                                 ca produce an unwanted rectifying contac
                  doped n-material.
                            terial.
                                                                    ontact with lightly
vii.
                  region.
                            asy
       Aluminium Metallization:
                          tion:
          •   Now the IC chip
                                En
                           ip is complete
                                 c        with all active and passive devic
                                                                      devices and only
          •
              interconnection betwe
              Then a thin coating
                             ting ogin
                              between the various components have to be
                                                                      e made.
                                                                        ma
                                  of Al is vacuum deposited over the entire
                                                                       tire su
                                                                            surface of the
          •
              wafer.
              The interconnection
                                       ee
                            ction between the components is then formed
                                                                        rin
                                                                 forme by photo
          •
              resistive techniques.
                              ques.
              The undesired Al areas
                               are are etched away leaving a pattern       g.n
                                                                  rn interconnection
                                                                     inte
              between transistor,
                             tor, re
                                                                              et
                                  resistor, diode, and capacitor is shown below.
                                                                          below
14
  w.E
    •
    •
        The metal contacts are required to be ohmic and no PN junctions to be
        formed between the metal and silicon layers.
        The N+ diffusion region serves the purpose of generating ohmic contacts.
    •                 asy
        On the other hand, if aluminum is deposited directly on the N-type silicon,
    •                     En
        then a metal semiconductor diode can be said to be formed.
        Such a metal semiconductor diode junction exhibits the same type of V-I
                             gin
        Characteristics as that of an ordinary PN junction.
                                 ee                               rin
                                                                     g.n
                                                                        et
    •   The cross sectional view and symbol of a Schottky barrier diode as shown
        in figure. Contact 1 shown in figure is a Schottky barrier and the contact 2 is
        an ohmic contact.
    •   The contact potential between the semiconductor and the metal generated
        a barrier for the flow of conducting electrons from semiconductor to metal.
15
        •    When the junction is forward biased this barrier is lowered and the electron
             flow is allowed from semiconductor to metal, where the electrons are in
             large quantities.
        •    The majority carriers carry the conduction current in the Schottky diode
             whereas in the PN junction diode, minority carriers carry the conduction
             current and it incurs an appreciable time delay from ON state to OFF state.
        •     This is due to the fact that the minority carriers stored in the junction have
             to be totally removed.
   Integrated Capacitor:
   •    Monolithic capacitors are not frequently used in integrated circuits since they
  w.E
   •    The capacitance is proportional to the area of the junction and inversely
        proportional to the depletion thickness.
            C α A, where a is the area of the junction and
                            asy
            C α T, where t is the thickness of the depletion layer
   i)                           En
There are, however, two types available,
            The junction capacitor     (ii)MOS and thin film capacitor
   Junction Capacitor:
                                   gin
        •
                                       ee
            In monolithic ICs junction capacitor is a reverse biased PN junction formed
                                                                        rin
            by the collector-base or emitter-base diffusion of the transistor. Figure
            shows the cross sectional view the junction capacitor and the equivalent
            circuit.
                                                                           g.n
                                                                              et
16
                        asy
                            En
                               gin
                                   ee                               rin
        •
                          Fig 1.10 MOS and Thin film capacitor
                                                                       g.n
            It is basically a parallel plate capacitor with SiO2 as the dielectric. During
                                                                          et
            emitter diffusion the heavily doped n+ region formed in the lower plate.
            The thin film Al metallization is formed in upper plate of the capacitor with
            SiO2 as the dielectric.
        •   In the equivalent circuit, the parasitic effect consist of a small series
            resistance R due to n+ region, a collector substrate junction J1 and its
            associated capacitance C1.
 Thin film Capacitors:
    •   Thin film capacitors structures used in thin dielectric film layer between two
        metal layers.
17
ww
Integrated Resistors:
           A resistor in a monolithic integrated circuit is obtained by utilizing the bulk
  w.E  •
           resistivity of the diffused volume of semiconductor region. The commonly
           used methods for fabricating integrated resistors are
   a. Diffused resistor
                           asy
   b. Epitaxial resistor
   c. Pinched resistor         En
   d. Thin film techniques.
                                  gin
   a. Diffused Resistor:
       •                              ee
           The diffused resistor is formed in any one of the isolated regions of epitaxial
           layer during base or emitter diffusion processes.           rin
       •
           the bipolar transistor fabrication.
                                                                          g.n
           This type of resistor fabrication is very economical as it runs in parallel to
       •
           to realize the monolithic resistor.
                                                                             et
           The N-type emitter diffusion and P-type base diffusion are commonly used
       •   The diffused resistor has a severe limitation in that, only small valued
           resistors can be fabricated.
       •   The surface geometry such as the length, width and the diffused impurity
           profile determine the resistance value.
       •   The commonly used parameter for defining this resistance is called the
           sheet resistance. It is defined as the resistance in ohms/square offered by
           the diffused area.
18
     •   In the monolithic
                        ic res
                           resistor, the resistance value is expressed
                                                                    ed by R = Rs L/W,
         where R= resistanc
                     istance offered (in ohms), Rs = sheet resistance
                                                           resist     of the
         particular fabrication
                        ication process involved (in ohms/square), L = length
                                                                       l      of the
         diffused area and W = width of the diffused area.
     •   The sheet resistance
                      istance of the base and emitter diffusion in 200
                                                                   200Ω/square and
         2.2Ω/square respect
                       spectively.
b. Epitaxial Resistor:
ww
  w.E
                      asy            Fig 1.11 Epitaxial resistor
 •   The N-epitaxial layer
                          En
                       yer ca
     figure shows the cross
                           can be used for realizing large resistance
                                                                 ance values. The
                      cross-sectional view of the epitaxial resistor
                                                                 tor fo
                                                                     formed in the
     epitaxial layer between gin
                             t two N+ aluminum metal contacts.
                         een the
 c. Pinched resistor:
                                 ee                                rin
                                                                      g.n
                                                                         et
                                        Fig 1.12 Pinched resistor
 •   The sheet resistance
                      nce o
                          offered by the diffusion regions can be increased
                                                                  in        by
     narrowing down itss cros
                         cross-sectional area. This type of resistance
                                                                 tance is normally
     achieved in the base
                       se reg
                          region. Figure shows a pinched base diffused
                                                                 fused resistor.
 •   It can offer resistance
                         nce o
                             of the order of mega ohms in a comparati
                                                               paratively smaller
     area.
19
   •   In the structure shown, no current can flow in the N-type material since the
       diode realized at contact 2 is biased in reversed direction.
   •   Only very small reverse saturation current can flow in conduction path for the
       current has been reduced or pinched.
   •   Therefore, the resistance between the contact 1 and 2 increases as the width
       narrows down and hence it acts as a pinched resistor.
ww
  w.E
                         asy             Fig 1.13 Thin film resistor
   •
                             En
       The thin film deposition technique can also be used for the fabrication of
   •
       monolithic resistors.
                                gin
       A very thin metallic film of thickness less than 1µm is deposited on the silicon
   •
                                    ee
       dioxide layer by vapour deposition techniques.
                                                                      rin
       Normally, Nichrome (NiCr) is used for this process. Desired geometry is
   •                                                                     g.n
       achieved using masked etching processes to obtain suitable value of resistors.
       Ohmic contacts are made using aluminum metallization as discussed in earlier
   •
       sections.
                                                                            et
       The cross-sectional view of a thin film resistor as shown in figure. Sheet
       resistances of 40 to 400Ω/ square can be easily obtained in this method and
       thus 20kΩ to 50kΩ values are very practical.
Fabrication of FET:
   Unipolar monolithic ICs use JFET or MOSFET as active device .The fabrication
   techniques of     (i). JFET
                     (ii). MOSFET
                     (iii) CMOS is discussed below
JFET Fabrication:
The basic process of JFET Fabrication is same as in BJT fabrication
20
                          asy
       photolithography. (April/May
                         (Apr       2015)
Epitaxial Growth:
                              En
   •   Epitaxy is described
                          d as a
                                 gin
                               arranged atoms in a single crystal fashion
       crystal substrate. The basic
                              b
                                                                     hion upon
                                    chemical reaction used for the epitaxi
                                                                          u    a single
                                                                    pitaxial growth of
       pure silicon is the hydrog
         SiCl4+2H2      1200
                               o
                               C
                                     ee
                            ydrogen reaction of SiCl4
                                    Si+4HCL
                                                                      rin
   •    In an IC fabrication
                        tion e
       required. This is accom
                                                                    conce
                                                                         g.n
                             epitaxial films with specific impurity concentration are
                         accomplished by introducing phosphine (PH3) for the n-type
       Bi-Borane (B2H6) for P
       stream.
                            P-type doping into the silicon-tetrachloride
                                                                            et
                                                                    ride hydrogen
                                                                         h        gas
21
ww
Si-wafers. Photolithography involves two processes, namely
       1. Making of a photographic mask
                          asy
                  It involves the following sequence of operations
                              En
                 1. The preparation of artwork
                 2. Its reduction
   •
                                 gin
        The initial layout or artwork of an IC is normally done at a scale several hundred
                                     ee
        times larger than the final dimension of the finished monolithic circuit. This is
        because for a tiny chip more accurate is the final mask. This initial layout is then
        decomposed into several mask layers.
                                                                      rin
   •
        coordinagraph.
                                                                         g.n
        The artwork is usually produced on a precision drafting machine known as
   •
        moved along two perpendicular axes.
                                                                            et
        The coordinagraph has a cutting head that can be positioned accurately and
   •    The coordinagraph out lines pattern cutting through the red mylar without
        damaging the clear layer underneath.
   •    This rubylith pattern of individual mask is photographed and then reduced in
        step by a factor of 5 or 10 several times to finally obtain the exact image size.
   •    The final image size also must be repeated many times in a matrix array, so
        that many ICs will be produced in one process.
   •    The photo repeating is done with a step and repeat camera. This is an imaging
        device with a photographic plate on a removable platform.
22
Photo etching:
  •   Photo etching is used for the removal of SiO2 from desired regions so that the
      desired impurities can be diffused. The wafer is coated with a film of
      photosensitive emulsion (Kodak Photo resist KPR). The thickness of the film in
      the range 5000-10000A0
  w.E
  •   Then the wafer is exposed to ultraviolet light so that KPR becomes polymerized
      beneath the transparent regions of the mask.
                       asy
                           En
                              gin
                                  ee
                         Fig 1.16 (b) Photo etching step 2         rin
  •
                                                                      g.n
      Then the mask is removed and the wafer is developed using a chemical
      (trichloroethylene) which dissolves the unexposed/un polymerized regions, in
      the photo resist and leaves the pattern                            et
                         Fig 1.16 (c) Photo etching step 3
  •   The polymerized photo resist next fixed or curved, so that it becomes immune
      to certain chemicals called etchants used in subsequent processing steps. The
      chip is immersed in the etching solution of HCl, which removes the SiO2 from
      the area which are not protected by KPR
23
ww
MONOLITHIC IC PAKAGE:
There are 3 different package configurations are available they are
  w.E
   1. Metal can package
   2. Ceramic flat package
                         asy
   3. Dual-in-line package
   •                         En
METAL CAN or TRANSISTOR PACKAGE:
       The chip is encapsulated in a metal or plastic case. The transistor pack is
                                gin
       available with 3, 5, 8, 10 or 12 pins.
   •
                                    ee
       The metal can package is best suited for power amplifiers because metal is
       good heat conductor and consequently has a better dissipation capability than
       the flat back or dual-in-line package.
                                                                     rin
                                                                        g.n
                                                                           et
24
  •   The metal can package permits the use of external heat sink. Most of the
      general purpose of Op-Amps comes in 8, 10 or 12 pin packages.
  •   Voltage regulator ICs such as LM117 has 3-pins. Power Op-Amps and audio
      power amplifiers are usually available in 5 pin packages.
CERAMIC FLAT PACKAGE
  •   The chip is enclosed in a rectangular ceramic case with terminal leads
      extending through the sides and ends.
  •   The flat pack comes with 8, 10, 14 or 16 leads.
  •   These leads accommodate the power supplies, inputs, outputs and several
      special connections required to complete the circuits.
ww
  w.E
                       asy
                           En
                              gin
DUAL-IN-LINE PACKAGE
                                  ee
                           Fig 1.18 Ceramic flat package
                                                                   rin
  •
      widely used package type because it can be mounted easily.      g.n
      The chip is mounted inside a plastic or ceramic case. The DIP is the most
  •
  •
      The 8-pin dual-in-line package is called as mini DIPs.
                                                                         et
      DIPs are also available with 12, 14, 16 and 20 pins. The density of components
      integrated on the same chip increases.
  •   Digital ICs are DIP packages; Metal can packages are also available with dual-
      in-line formed leads (DIL-CAN) and with radial formed leads.
  •   Different outlines exist within each package style to accommodate various die
      sizes and number of pins.
  •   For Example TO-99, TO-100 and TO-101 are some of the outlines available in
      a transistor.
25
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
26
                                           UNIT II
                            CHARACTERISTICS OF OP-AMP
Part - A
1. What are the advantages of ICs over discrete circuits?
        Minimization & hence increased equipment density.
        Cost reduction due to batch processing.
        Increased system reliability
        Improved functional performance.
        Matched devices.
        Increased operating speeds
  w.E  An operational amplifier is a direct coupled high gain amplifier consisting of one
or more differential amplifiers, followed by a level translator and an output stage. It is a
                           asy
versatile device that can be used to amplify ac as well as dc input signals & designed
                               En
for computing mathematical functions such as addition, subtraction, multiplication,
integration & differentiation
                                  gin
.3. List out the ideal characteristics of OPAMP?
           Characteristics of an ideal operational amplifier:
                2. Input impedance
                                      ee
                1. Open loop voltage gain AOL = ∞ (infinity)
                                            Ri        = ∞ (infinity)
                                                                           rin
                3. Output impedance
                4. Zero offset
                                             Ro
                                            Vo
                                                      = 0 (zero)
                                                      = 0 (zero)              g.n
                5. Band width                BW = ∞ (infinity)
4.what are the different kinds of packages of IC741?
                                                                                 et
a) Metal can (TO) package
b) Dual- in- line package
c) Flat package or flat pack
5. What are the assumptions made from ideal op amp characteristics?
   •    The current drawn by either of the input terminals(non -inverting/inverting)
        is negligible.
   •    The potential difference between the inverting & non- inverting input terminals is
        zero.
27
ww     Signal processing
9. Define input offset voltage.
  w.E  A small voltage applied to the input terminals to make the output voltage as
zero when the two input terminals are grounded is called input offset voltage.
                          asy
10. Define input offset current. State the reasons for the offset currents at the
input of the op-amp.
                              En
            The difference between the bias currents at the input terminals of the op-amp
                                 gin
is called as input offset current. The input terminals conduct a small value of dc current
to bias the input transistors. Since the input transistors cannot be made identical, there
exists a difference in bias currents.
11. Define CMRR of an op-amp.
                                     ee                               rin
                                                                         g.n
            The relative sensitivity of an op-amp to a difference signal as compared to a
common –mode signal is called the common –mode rejection ratio. It is expressed in
decibels.     CMRR= Ad/Ac
12. Define slew rate.
                                                                            et
         The slew rate is defined as the maximum rate of change of output voltage
caused by a step input voltage. An ideal slew rate is infinite which means that op-
amp’s output voltage should change instantaneously in response to input step voltage.
13. Why IC 741 is not used for high frequency applications?
            IC741 has a low slew rate because of the predominance of capacitance
present in the circuit at higher frequencies. As frequency increases the output gets
distorted due to limited slew rate.
28
ww
Part - B
   1. Explain in detail about the DC characteristics of the OP-AMP.
  w.E
DC Characteristics of op-amp:
DC output voltages are,
   1. Input bias current
                            asy
   2. Input offset current
   3. Input offset voltage      En
   4. Thermal drift
1. Input bias current:
                                   gin
                                       ee
The op-amp’s input is differential amplifier, which may be made of BJT or FET.
                                                                        rin
       In an ideal op-amp, we assumed that no current is drawn from the input
       terminals.
                                                                           g.n
       The base currents entering into the inverting and non-inverting terminals (IB- &
       IB+ respectively).
                                                                              et
       Even though both the transistors are identical, IB- and IB+ are not exactly equal
       due to internal imbalance between the two inputs.
       Manufacturers specify the input bias current IB
       Input bias current IB as the average value of the base currents entering into the
       terminals of the op-amp
29
                 I B+ + I B−
            IB =                                   V0 = ( I B − ) R f
ww  So,
                      2            and
Where a compensation resistor Rcomp has been added between the non-inverting input
  w.E
terminal and ground as shown in the figure below.
                                  asy
                                      En
                                         gin
                                             ee                                 rin
                                                                                   g.n
                                  Fig 2.2 Bias current compensation
Current IB+ flowing through the compensating resistor Rcomp, then by KVL we get,
                                                                                      et
                 -V1 + 0 + V2 -Vo = 0 (or)
                 Vo = V2 – V1                                                                     (1)
By selecting proper value of Rcomp, V2 can be cancelled with V1 and the Vo = 0. The
value of Rcomp is derived a
                 V1 = IB+ Rcomp             (or)
                 IB+ = V1/Rcomp                                                            (2)
The node ‘a’ is at voltage (-V1). Because the voltage at the non-inverting input terminal
is (-V1).    So with Vi = 0 we get,
                 I1 = V 1 / R 1                                                                   (3)
30
                I2 = V2 / Rf                                                                     (4)
For compensation, Vo should equal to zero (Vo = 0, Vi = 0). i.e. from equation (1) V2 =
V1. So that,
                I2 = V1 / Rf                                                                     (5)
KCL at node ‘a’ gives,
                IB- = I2 + I1
                   f / fa
          A=                       −  V1 V1     ( R1 + R f )
               1 + ( f / fb ) 2 I B =    + = V1
                                      R f R1       R1R f
Assume IB- = IB+ and using equation (4) & (8) we get
ww              V1
                     (R + R ) =
                       1
                       R1R f
                               f         V1
                                        Rcomp
  w.E            Rcomp =
                               R1 R f
                             R1 + R f
                                         = R1 R f
                 Rcomp = R1 || Rf
                                   asy                                                           (6)
                                       En
i.e. to compensate for bias current, the compensating resistor, Rcomp should be equal
to the parallel combination of resistor R1 and Rf.
2. Input offset current:
                                          gin
         Bias current compensation will work if both bias currents IB+ and IB- are equal.
                                              ee
         Since the input transistor cannot be made identical. There will always be some
                                                                               rin
         small difference between IB+ and IB-. This difference is called the offset current
                |Ios| =    IB+ - IB-
Offset current Ios for BJT op-amp is 200nA and for FET op-amp is 10pA. Even with  g.n            (1)
bias current compensation, offset current will produce an output voltage when Vi = 0.
                V1 = IB+ Rcomp
                                                                                     et          (2)
And             I1 = V1/R1                                                                       (3)
KCL at node ‘a’ gives,
                I2 = (IB—I1)
                                                        Rcomp 
                  I 2 = ( I B − − I1 ) = I B − −  I B +          (Sub the value of I2)
                                                         R1 
Again,          V0 = I2 Rf – V1
                Vo = I2 Rf - IB+ Rcomp
31
                                 R 
               Vo =  I B − − I B+ comp  R f − I B+ Rcomp                                  (4)
                                  R1 
Substitute the value Rcomp in equation (4) and after algebraic manipulation,
               V o = R f  I B− − I B+ 
                  Vo = R f I 0 s
The offset current can be minimized by keeping feedback resistance small.
       Unfortunately to obtain high input impedance, R1 must be kept large.
       R1 large, the feedback resistor Rf must also be high, so as to obtain reasonable
ww     gain.
       The T-feedback network is a good solution. This will allow large feedback
  w.E  resistance, while keeping the resistance to ground low (in dotted line).
       The T-network provides a feedback signal as if the network were a single
       feedback resistor.
                                asy
                                    En
                                       gin
                                           ee                               rin
                                                                               g.n
3. Input offset voltage:
                                             Fig 2.3 T-network
                                                                                  et
   •   Inspite of the use of the above compensating techniques, it is found that the
       output voltage may still not be zero with zero input voltage [Vo ≠ 0 with Vi = 0].
   •   This is due to unavoidable imbalances inside the op-amp and one may have to
       apply a small voltage at the input terminal to make output (Vo) = 0.
   •   This voltage is called input offset voltage Vos. This is the voltage required to be
       applied at the input for making output voltage to zero (Vo = 0).
32
ww
  w.E
                           asy
                               En
                                  gin
                                      ee                                  rin
                 Fig 2.4 Input offset voltage & its equivalent circuit       g.n
                                                                                et
Let us determine the Vos on the output of inverting and non-inverting amplifier. If Vi = 0
(Fig (b) and (c)) become the same as in figure (d). The voltage V2 at the negative input
                                               R1         
terminal is given by,                    V2 =             Vo
                                               R1 + R f
                                                          
                       R1 + R f   
                 Vo =             V2
                       R1         
                              Rf    
                        Vo = 1 +    V2
                              R1    
  Vios = Vi − V2 and Vi=0,          Vios = 0 − V2 = V2
33
                      Rf 
                Vo = 1 +     Vios
                         R1 
  4. Thermal drift:
  A circuit nulled at 250C may not remain so the temperature rises to 350C.This is called
  drift. Bias current, offset current, offset voltage change with temperature.
            offset current drift is expressed as nA/oC
            offset voltage drift is expressed as mV/oC.
         These indicate the change in offset for each degree Celsius change in
ww temperature.
  w.E
2. Explain in detail about the AC characteristics of the OP-AMP.
  AC Characteristics:
     •
                            asy
         For small signal sinusoidal (AC) application one has to know the ac
         characteristics such as frequency response and slew-rate.
  Frequency Response:
                                En
     •
         its phase angle.          gin
         The variation in operating frequency will cause variations in gain magnitude and
     •
                                       ee
         The manner in which the gain of the op-amp responds to different frequencies
         is called the frequency response.
                                                                        rin
     •
                                                                           g.n
         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.
                                                                              et
         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.
34
− jXc
ww
Vo =
       Ro − jXc
                AolVd
  w.E
Divide by jXc both numerator and denominator
 Vo =
            AolVd
         Ro
        
                    
                + 1
          − jXc         asy                            (Vin=Vd)
Vo        Aol                 En
Vin
    =
        1+ j
             Ro
                                 gin                   (Xc=1/2πfc)
A=
             Xc
            Aol                      ee                               rin
       (1 + 2πRoC
            Aol                                                          g.n
 A=
       1 + j ( f / f 1)
     where f1= 1/2πfRoC
                                                                            et        (1)
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,
                                 Aol
Magnitude            A=                                                               (2)
                            1 + ( f / f 1)
                                             2
35
The magnitude and phase angle characteristics from equations (2) and (3)
   •    For frequency f<< f1 the magnitude of the gain is 20 log AOL in dB.
   •    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.
   •    For f > > f1 the fain roll-off at the rate off -20dB/decade or -6dB/decade.
ww
  w.E
                           asy
                               En
                                  gin
                                      ee                              rin
                                                                         g.n
                      Fig 2.6 Frequency response characteristics
From the phase characteristics
                                                                            et
        the phase angle is zero at frequency f =0.
        At the corner frequency f=f1 the phase angle is -450
        -900 phase angle occurs at frequency (at f=∞)
36
       Aol.ω1 Aol.ω1
A=            =                                                                 (4)
       jω + ω1 S + ω1
The transfer f0 of as op-amp with 3 break frequency can be assumed as,
                         Aol
 A=                                                        0 < f1< f 2< f3
       (1 + jf / f 1)(1 + jf / f 1)(1 + f / f 3)
              Aol.ω1.ω 2.ω 3
A=                                                     0<ω1<ω2< ω3
       ( S + ω1)(S + ω 2)(S + ω 3)
ww
  w.E
                          asy
                              En
                                 gin
Slew Rate:
   •
                                     ee
                         Fig 2.7 Frequency response of op-amp
                                                                      rin
        Another important frequency related parameter of an op-amp is the slew rate.
                                                                         g.n
        (Slew rate is the maximum rate of change of output voltage with respect to time.
        Specified in V/µs).
37
ww
  w.E
                          asy
                          Fig
                              En
                           ig 2.8 Input and output waveforms
The max rate of change off outp
                                 gin
                           output across when coswt =1
(i.e) SR = dV0/dt |max = wVm.
                         wVm
SR = 2∏fVm V/s = 2∏fVm v/m
                       v/ms.
Thus the maximum frequency
                      ency fmax
                           f
of peak value Vm is given by
                                     ee
                                at which we can obtain an undistorte
                                                                      rin
                                                              storted output volt
38
ww              Node N is virtual
                            rtual g
                       VN = 0
                                  grounded.
                ic = C1
                          d
                           ugh tthe capacitor,
                                         dV
                             Vi − VN = C1 i → (1)
      asy                 dt
            Current if through
                           ugh fe
                                          dt
                               feedback resistor is
          En    if =
                       V0
             gin       Rf   -----------
                               ------------>(2)
                 ee
            Apply KCL at node N
                ic + i f = 0
                                                                           rin
  dV V
C1 i + 0 = 0
   dt R f                                                                     g.n
V0 = − R f C1
                dVi
                 dt
                    -----------------
                               ------>(3)
                                                                                 et
Thus the output V0 is equal
                         al to RF C1 times the negative rate of change of th
                                                                          the input
voltage Vin with time.
The –sign indicates a 1800 phase
                           ph    shift of the output waveform V0 with
                                                                  ith respect
                                                                      re      to the
input signal.
Phasor equivalent of output
                         ut vol
                            voltage is
V0 ( S ) = − R f C1.SVi ( S )
39
      V0
 A=      = R f C1S = jω R f C1 = ω R f C1
      Vi
      f                           1
 A=            where    fa =
      fa                       2π R f C1
                                            (2)
Input and Output Waveforms:
                       rms:
ww
  w.E
                          asy
                              En
                                 gin
                                     ee                              rin
                                                                        g.n
                                                                           et
                         Fig
                          ig 2.10 Input and output waveforms
The input signal will be differen
                          ifferentiated properly, if the time period T of the input
                                                                              in    signal is
larger than or equal to RF C1 (i.e)
                              (i.e T > RF C1
40
    (b) Integrator:
    •   A circuit in which the
                             e out
                               output voltage waveform is the integral off the iinput voltage
        waveform is the integrato
                          tegrator or Integration Amplifier.
    •   Such a circuit is obtained
                            tained by using a basic inverting amplifier config
                                                                        configuration if the
        feedback resistor RF is re
                                replaced by a capacitor CF .
ww
  w.E                            Fig 2.11 Integrator circuit
Analysis:
                          asy
Let Vin is the input voltage appli
                             applied to the inverting terminal
                              En
Current through Capacitor Cf= C
                              Current through Ri
                      Vin − VB
                         Ri      gind
                               = C f (VB − Vo )
                                    dt
                                                                                       (1)
                                     ee
                        (∴VB = VA = 0)
                                                                      rin
(1)------------->
                        Vin
                        Ri
                                 d
                            = C f Vo
                                 dt                                      g.n
                        d
                        dt
                           Vo = −
                                    1
                                  Ri C f
                                         Vin
                                                                            et
                                   1
                                 Ri C f ∫
                        Vo = −            Vin dt                                       (2)
Equation (2) indicates thatt the output is directly proportional to the negativ
                                                                         egative integral of
the input volts and inversely
                          ely pro
                              proportional to the time constant R1 CF . In phasor
                                                                           ph     method
the output voltage can be writte
                          written as
41
           R f / Ri
A=−                                                 1
        (1 + jf / f a )           Vo ( s ) = −           Vi ( s )
                                                  sR1C f
 H ( jω ) = R f / Ri
In steady state, put s = jω and we
                                w get
                   1
Vo ( jω ) = −            Vi ( jω )
                jω R1C f
So the magnitude of the gain
                         ain or integrator transfer function is
       Vo ( jω )       1        1
 A=              =−         =
ww     Vi ( jω )    jω R1C f ω R1C f
Ex: If the input is sine wave ->
                               > output
                                 o      is cosine wave.
  w.E
If the input is square wave ->
                             > output
                               ou     is triangular wave.
                          asy
                              En
                                 gin
                                     ee                               rin
                                                                         g.n
                                                                            et
   •   When Vin = 0 the integrator works as an open loop amplifier because the
       capacitor CF acts an open circuit to the input offset voltage Vio. (Or)
   •   The Input offset voltage Vio and the part of the input is charging capacitor CF
       produce the error voltage at the output of the integrator.
  w.E
   •   Differential amplifiers are used in instrumentation and industrial applications to
       amplify differences between 2 input signals such as output of the wheatstone
   •
       bridge circuit.
                         asy
       Differential amplifier preferred to these application because they are better able
                             En
       to reject common mode (noise) voltages than single input circuit such as
                                gin
       inverting and non-inverting amplifier.
                                    ee
1. Differential Amplifier with one op-amp:
  Figure shows the differential amplifier with one op-amp.
                                                                      rin
                                                                         g.n
                                                                            et
                 Fig 2.13 Differential amplifier circuit with 1 op-amp
To analyze this circuit by deriving voltage gain and input resistance. This circuit is a
combination of inverting and non-inverting amplifier. (i.e)
   •   When Vx is reduced to zero the circuit is non-inverting amplifier and
   •   When Vy is reduced to zero the circuit is inverting amplifier.
43
Voltage Gain:
The circuit has 2            inputs Vx and Vy . Use superposition theorem, when Vy = 0V,
becomes inverting amplifier. Hence the output due to Vx only is
                     −R f (Vx )
             Vox =
                        R1
Similarly, when Vx = 0V, becomes Non-inverting amplifier having a voltage divider
network composed of R2 and R3 at the Non – inverting input.
                                  R3 (Vy )
                         V1 =
                                  R2 + R3
ww
And the output due to Vy then is
  w.E                         R
                       Voy = 1 + f
                                R1
                                              
                                              V1
                                              
                                  asy
Note: the gain of the differential amplifier is same as that of inverting amplifier.
Input Resistance:
                                      En
                                         gin
The input resistance Rif of the differential amplifier is resistance determined looking
into either one of the 2 input terminals with the other grounded,
               With Vy = 0V,
                                             ee
Inverting amplifier, the input resistance which is,
                RiFx ≈ R1                                                     rin             (1)
Similarly       Vx = 0V,
                                                                                 g.n
Non-inverting amplifier, the input resistance which is,
   •
                RiFy ≈ (R2 + R3)                                                    et
       Vx and Vy are not the same. Both the input resistance can be made equal, if we
                                                                                              (2)
       modify the basic differential amplifier. R1 and (R2 + R3) can be made much
       larger than the source resistances. So that the loading of the signal sources
       does not occur.
Note: If we need a variable gain, we can use the differential amplifier. In this circuit
R1 = R2 , RF = R3 and the potentiometer Rp = R4.Depending on the position of the
wiper in R voltage can be varied from the closed loop gain of -2RF /R1 to the open loop
gain of A.
44
ww            We can increase the gain of the differential amplifier and also increase the
input resistance Rif if we use 2 op-amps.
  w.E
Voltage gain:
It is composed of 2 stages 1. Non-inverting amplifier 2. Differential amplifier with gain.
                             asy
                                 En
                                    gin
                                        ee                               rin
                                                                            g.n
                  Fig 2.15 Differential amplifier circuit with 2 op-amps
                                                                               et
By finding the gain of these 2 stages, we can obtain the overall gain of the circuit, The
o/p
       R 
V2 = 1 + 3 V y − − − − − − − − − −− > (1)
       R2 
By applying superposition theorem to the second stage, we can obtain the output
voltage,
         Rf        Rf 
V0 = −      V2 + 1 +     V x − − − −− > (2)
         R1           R1 
                                                 45
       Rf 
V0 = 1 +    (Vx − V y          )
          R1 
           R3  R1 + R f               
V0 y =                                V y − − − − − − − −− > (4)
         R2 + R3  R1                  
Since R1=R2 and Rf=R3
ww
Voy =
         Rf
         R1
               V y − − − − − − − − − − − − − − − − − −− > (5)
  w.E
From eqn.(1) and (5) the net output voltage is,
V0 = V0 x + Voy
V0 = −
          Rf
          R1
                (V   x    − Vy )
                                         asy
V0 = −
          Rf
          R1
                (V ) xy
                                             En
                                                gin
Or the output voltage gain,
AD =
         V0
         V xy
              =−
                 Rf
                 R1
                                                    ee                               rin
The gain of the differential amplifier is same as that of the inverting amplifier.
                                                                                        g.n
    5. Explain in detail about inverting and non inverting operational amplifier?
Inverting Amplifier:
                                                                                           et
    •     An amplifier which provides a phase shift of 1800 between the input and the
          output is called as inverting amplifier. The basic circuit diagram of inverting
          amplifier is shown below
46
ww
Analysis:
                            Fig 2.16
                                2. Inverting amplifier circuit
  w.E
Current through the resistance
       I=
             Vin − V A
                         tance R is,
                R1
                           asy              [VA=VB=0 Virtual ground]
       I=
          Vin
                               En
          R1
Current through RF is,
                                  gin
       I=
             V A − V0
                RF
                        V
                      =− 0
                        RF
                                      ee                               rin
       Vin   V
           =− 0                                                           g.n
       RF
       A=
             RF
             V0    R
                 =− F
                                                                             et
             Vin   R1
RF/R1 is called gain of amplifier
                          plifiers. Negative sign indicates that polarity of the output is
opposite to that of the input.
                           ut. So the inverting amplifier is also called ass sign changer.
Sign Changer:
       Let      K= RF/R1 is called scale factor.
                V0=-KVin
Since the output voltage iss chan
                             changing according to the scale factor K and input
                                                                          in    voltage
Vin the inverting amplifier is cal
                               called as Scale changer. The input and output
                                                                       utput waveforms
are shown below
                                              47
  w.E
input. Hence it is called ass Phas
Non-inverting amplifier:
                              Phase shift circuit (or) phase inverter.
   •
                            asy
       An amplifier which amplifies
                          ampli
       called a non-inverting
                          ing am
                                    the input without any phase shift betwe
                              amplifier.
                                                                      between them is
                                   gin
                                       ee                                rin
                                                                            g.n
                                                                               et
                           Fig 2.18 Non-inverting amplifier circuit
Analysis:
       I through R1 is,
                     V − VA
               I=
                       R1
                     Vin
              I= −
                     R1
48
                     V A − V0 Vin − V0
                I=           =
                        RF       RF
                   Vin Vin V0
               −      =   −
                   R1 R F RF
               V0 Vin Vin
                 =   −
               R1 R1 R F
                V0 Vin  R F          
                   =    1 +          
ww              Vin RF 
                    V        R
                              R1       
  w.E           A = 0 = 1+ F
                   Vin       R1
                           asy
The above equation is called
                        lled as the gain for non-inverting amplifier.
The input and output waveform
                        eforms are shown below.
                               En
                                  gin
                                      ee                               rin
                                                                          g.n
                                                                             et
                       Fig 2.19
                            .19 N
                                Non-Inverting amplifier waveforms
Applications of op-amp:
It is classified into 2 types,
   •   Linear application
   •   Non-linear Application
49
Summing Amplifier:
      Op-amp may be used
                     sed tto design a circuit whose output is the
                                                                e sum of several
input signals. Such a circuit
                          uit is ccalled a summing amplifier or a summer.
      Adder is classified as
               Inverting summer
                           mmer
               Non-inverting
                           g summer
                             sum
Inverting Summing Amplifier:
                     lifier:
In this circuit all the inputt signals
                               signa to be added are applied to the inverting
                                                                      verting terminal of
ww
the op-amp. The circuit with two
feedback resistor Rf is shown
                             tw input signals V1, V2 , input resistors
                          own in figure
                                                                  tors R1, R2 and a
  w.E
                            asy
                                En
                                   gin
                      Fig 2.20
                                       ee
                           .20 Inverting
                               In        summing amplifier circuit      rin
      As point B is grounded
                                                                           g.n
                        nded, due to virtual ground concept the node A is also at
virtual ground potential.VA=0
      Now from the inputt side
              V1 − V A V1
                                                                              et
       I1 =           =    − − − − − − − − − −− > (1)
                 R1     R1
              V2 − V A V 2
       I2 =           =    − − − − − − − − − −− > (2)
                R2      R2
      Applying KCL at node
                        de A and as input op-amp current is zero,
      I=I1+I2 ------------------------
                              ------------------------>(3)
      From the output side
            V A − V0    V
       I=            = − 0 − − − − − − − − − − > ( 4)
               Rf       Rf
                                                   50
V 0 = − (V1 + V 2 )
ww
signals like aV1+aV2 as indicat
                         ndicated in eqn(6)
Non-Inverting Summing Amplifier:
                      Amp
                            asy
                                En
                                   gin
                                       ee                               rin
Analysis:
                   Fig 2.21 Non
                            Non-Inverting summing amplifier circuit
                                                                           g.n
Let the voltage of node B is VB . Now the node A is at the same potential
due to virtual ground.
                                                                              et
                                                                  tential as that of B
       VA=VB------------------------
                            ------------------>(1)
From the input side
              V1 − V B
       I1 =            − − − − − − − − − −− > (2)
                 R1
              V2 − V B
       I2 =            − − − − − − − − − −− > (3)
                R2
Input current of op-amp is zero
       I1 + I2 = 0--------------------
                              --------------------->(4)
51
       V1 − VB V2 − VB
              +        =0
          R1     R2
       V1 V2        1     1
          +    = VB  + 
       R1 R2         R1 R2 
            R V + R1V2
       VB = 2 1         − − − − − − − − > (5)
              R + R2
Now at node A
             V A VB
       I=       =   − − − − − − − − − −− > (6)
              R   R
ww and
       I=
             V0 − V A V0 − V B
                     =         − − − −− > (7)
  w.E          Rf       Rf
Equqting eqn. (6) and (7)
                R + Rf
       V0 = V B 
                 R
                            asy
                            
                             − − − − − − − − > (8)
                            
Substitute eqn.(5) in (8)
              R2 (R + R f   ) (
                                En) gi
                                    R1 R + R f
       V0 =
               R(R1 + R2 )
                             V1 +
                                      nee
                                    R(R1 + R2 )
                                                  V2 − − > (9)
The eqn(9) shows that the output is weighted some of the inputs.
If R1 = R2 = R = Rf we get                                               rin
                     V0=V1+V2                                               g.n
Subtractor:
   •
                                                                               et
       A basic differential amplifier can be used as a subtractor as shown in the above
       figure. If all resistors are equal in value, then the output voltage can be derived
       by using superposition principle.
52
  w.E  Then the circuit of figure as shown in the above becomes a non-inverting
amplifier having input voltage V1/2 at the non-inverting input terminal and the output
becomes
                   V  R
                         asy
                             En
              V01 = 1 1 +  = V1 − − − − − − − − − −− > (1)
                    2  R
                                gin
       Similarly the output V02 due to V2 alone (with V1 grounded) can be written
simply for an inverting amplifier as
                     R              ee
              V02 = − V2 = −V2 − − − − − − − − − − − −− > (2)
                     R                                               rin
                                                                        g.n
       Thus the output voltage Vo due to both the inputs can be written as
              V0 = V01 + V02
              V0 = V1 − V2
                                                                           et
Thus the output voltage is the difference between the two inputs and hence it act as
the subtractor.
53
                                        UNIT-III
                             APPLICATIONS OF OPAMP
Part – A
   1. What is the need for an instrumentation amplifier?
In a number of industrial and consumer applications, the measurement of physical
quantities is usually done with the help of transducers. The output of transducer has to
be amplified So that it can drive the indicator or display system. This function is
performed by an instrumentation amplifier.
   2. What is a sample and hold circuit? Where it is used?
A sample and hold circuit is one which samples an input signal and holds on to its last
ww
sampled value until the input is sampled again. This circuit is mainly used in digital
interfacing, analog to digital systems, and pulse code modulation systems.
  w.E
   3. What is a comparator?
A comparator is a circuit which compares a signal voltage applied at one input of an
                        asy
opamp with a known reference voltage at the other input. It is an open loop op - amp
with output ± Vsat .
                            En
   4. What is a multivibrator?
                               gin
Multivibrators are a group of regenerative circuits that are used extensively in timing
applications. It is a wave shaping circuit which gives symmetric or asymmetric square
multivibrator.
                                   ee
output. It has two states either stable or quasi- stable depending on the type of
                                                                    rin
   5. Draw the circuit of log amplifier using op-amps                  g.n
                                                                          et
54
ww
+Vsat and –Vsat. The output is driven into –Vsat when the input signal passes through
zero to positive direction. Conversely, when input signal passes through zero to
  w.E
negative direction, the output switches to +Vsat.
8. What are the applications of comparator?
• Zero crossing detectors
• Window detector        asy
• Time marker generator
                             En
• Phase detector
9. Define conversion time.      gin
                                    ee
It is defined as the total time required converting an analog signal into its digital output.
                                                                     rin
It depends on the conversion technique used & the propagation delay of circuit
                                                                        g.n
components. The conversion time of a successive approximation type ADC is given by
T (n+1) where T---clock period Tc---conversion time n- no. of bits.
10. What are the different types of filters?
   •                                                                       et
       Based on functions: Low pass filter, High pass filter, Band pass filter, Band
       reject filter
   •   Based on order of transfer function : first, second, third higher order filters.
   •   Based on configuration: Bessel, Chebychev, Butterworth filters.
55
Part - B
   1. Draw and explain the working of Instrumentation amplifier using Op-Amp
       and derive its output voltage equation.
   •   In a number of industrial and consumer applications, one is required to measure
       and control physical quantities.
   •   Some typical examples are measurement and control of temperature, humidity,
       light intensity, water flow etc. these physical quantities are usually measured
       with help of transducers.
   •   The output of transducer has to be amplified so that it can drive the indicator or
       display system.
  w.E
   •   The important features of an instrumentation amplifier are
              high gain accuracy
              high CMRR
                         asy
              high gain stability with low temperature coefficient
   •                         En
              low output impedance
       There are specially designed op-amps such as µA725 to meet the above stated
                                gin
       requirements of a good instrumentation amplifier.
   •   Monolithic   (single   chip)
                                    eeinstrumentation    amplifier   are
                                                                     rin
       commercially such as AD521, AD524, AD620, AD624 by Analog Devices,
                                                                           also
56
                     R2            1          R 
            V0 = −      V2 +           V1 1 + 2 
                     R1             R          R1 
                                 1+ 3 
                                    R4
      +    R4      
     V =        V1 
         R3 + R4 
                                                      
                  R         1            R1       
            V0 = − 2 V2 −                   + 1V1 
                  R1         R            R2      
                          1+ 3                        
                             R4                       
                       R1 R3
                         =
ww          For
                       R2 R4
                             we obtain
  w.E     V0 =
                 R2
                 R1
                    (V1 − V2 )
 •
                          asy
     In the circuit of figure 6(a), source V1 sees an input impedance = R3+R4 (=101K)
 •                            En
     and the impedance seen by source V2 is only R1 (1K).
     This low impedance may load the signal source heavily.
 •
                                 gin
     Therefore, high resistance buffer is used preceding each input to avoid this
     loading effect as shown in figure 6(b).
 •                                   ee
     The op-amp A1 and A2 have differential input voltage as zero. For V1=V2, that is,
     under common mode condition, the voltage across R will be zero.
                                                                      rin
                                                                         g.n
                                                                            et
57
ww
The voltage at the (+) input terminal of op-amp A3 is
theorem, we have,
                                                                       R1 + R2
                                                                                   . Using superposition
  w.E                      V0 = −
                                    R2 '  R2  R2V1' 
                                       V2 + 1 +                
                                                  R1  R1 + R2 
                               asy
                                    R1       
                                    =−      (
                                         R2 '
                                                     )
                                            V1 − V2' ---------------->(1)
En R1
                                      gin
Since, no current flows into op-amp, the current I flowing (upwards) in R is
                               I = (V1-V2)/R and passes through the resistor R’.
                     V1' = R ' I + V1 =
                                          ee
                                          R'
                                          R
                                         R'
                                             (V1 − V2 ) + V1
                                                                                   rin
       And V2' = − R ' I + V2 = −
                                         R
                                            (V1 − V2 ) + V2
                                                                                      g.n
       Putting the values of V1’ and V2’ in equation (1), we obtain,
       V0 =
               R2  2 R '
                  
               R1  R
                                                 
                          (V1 − V2 ) + (V1 − V2 )
                                                 
                                                                                         et
                               R2    2 R '            
                        V0 =        1 +   (V1 − V2 ) ----------------->(2)
                               R1        R            
In equation (2), if we choose R2 = R1 = 25K (say) and R’ = 25K; R = 50Ω, then a
gain=1001
       The difference gain of this instrumentation amplifier R, however should never
be made zero, as this will make the gain infinity. To avoid such a situation, in a
practical circuit, a fixed resistance in series with a potentiometer is used in place of R.
58
  w.E
   •   The bridge is initially balanced by a dc supply voltage Vdc so that V1=V2. As the
       physical quantity changes, the resistance RT of the transducer also changes,
                         asy
       causing an unbalance in the bridge (V1≠V2). This differential voltage now gets
                             En
       amplified by the three op-amp differential instrumentation amplifier.
Applications:
   •   Temperature indicator    gin
   •
   •
       Temperature controller
       Light intensity meter
                                    ee                               rin
   2. With a neat circuit diagram, explain the working of Schmitt trigger using
       Op-Amp. (May 2015)                                               g.n
Schmitt Trigger:
                                                                           et
59
ww
  w.E
                        asy
 •                          En
                     Fig 3.5 Schmitt trigger circuit waveforms
     This circuit converts an irregular shaped waveform to a square wave or pulse.
                               gin
     The circuit is known as Schmitt Trigger or squaring circuit.
 •
                                   ee
     The input voltage Vin triggers (changes the state of) the o/p V0 every time it
     exceeds certain voltage levels called the upper threshold Vut and lower
     threshold voltage.
                                                                    rin
 •
     where the voltage across R1 is feedback to the (+) input.         g.n
     These threshold voltages are obtained by using theh voltage divider R1 – R2,
 •
     the value of the output voltage.
                                                                          et
     The voltage across R1 is variable reference threshold voltage that depends on
 •   When V0 = +Vsat, the voltage across R1 is called “upper threshold” voltage Vut.
     The input voltage Vin must be more positive than Vut in order to cause the
     output V0 to switch from +Vsat to –Vsat. As long as Vin < Vut , V0 is at +Vsat,
     using voltage divider rule.
 •   Similarly, when V0 = -Vsat, the voltage across R1 is called lower threshold
     voltage Vlt . the Vin must be more negative than Vlt in order to cause V0 to switch
     from –Vsat to +Vsat.
 •   In other words, for Vin > Vlt , V0 is at –Vsat.
60
   •    Thus, if the threshold voltages Vut and Vlt are made larger than the input noise
        voltages, the positive feedback will eliminate the false o/p transitions.
   •    Also the positive feedback, because of its regenerative action, will make V0
        switch faster between +Vsat and –Vsat. Resistance Rcomp R1 || R2 is used to
        minimize the offset problems.
   •    The comparator with positive feedback is said to exhibit hysteresis, a dead
        band condition. (i.e) when the input of the comparator exceeds Vut its output
        switches from +Vsat to –Vsat and reverts to its original state, +Vsat when the
        input goes below Vlt.
   •    The hysteresis voltage is equal to the difference between Vut and Vlt.
ww
Therefore
                           asy
             R1 + R2 [+Vsat -(-Vsat)]
                               En
3. With a neat circuit diagram explain the operation of R-2R D/A converter. (May
2015)
   •                              gin
        An enhancement of the binary-weighted resistor DAC is the R-2R ladder
        output voltages.
                                      ee
        network. This type of DAC utilizes Thevenin’s theorem in arriving at the desired
                                                                       rin
   •
   •                                                                      g.n
        The R-2R network consists of resistors with only two values - R and 2xR.
        If each input is supplied either 0 volts or reference voltage, the output voltage
   •
        will be an analog equivalent of the binary value of the three bits.
                                                                             et
        VS2 corresponds to the most significant bit (MSB) while VS0 corresponds to the
        least significant bit (LSB).
61
ww
  w.E                  Fig
                        ig 3.6 R-2R ladder type D/A circuit
            Vout = - (VMSB
                        SB + Vn + VLSB) = - (VRef + VRef/2 + VRef/
     An alternative to the binary-weighted-input
                           bi
                                                               ef/ 4)
                                                 DAC is the so-called
                                                               called R/2R DAC,
 •
                       asy
     which uses fewer unique
                       nique resistor values.
 •
                           En
     A disadvantage off the former DAC design was its requiremen
     different precise input
                         put re
                                                            ement of several
                             resistor values: one unique value per binary
                                                                     nary in
                                                                          input bit.
 •   Manufacture may be si
                              gin
                        simplified if there are fewer different resistor
                                                                resist values to
 •
     purchase, stock, and
                       nd sor
     Of course, we could          ee
                          sort prior to assembly.
                                                                   rin
                      ld take our last DAC circuit and modify it to use a single input
     resistance value, byy con
                           connecting multiple resistors together in series
                                                                      eries
                                                                      g.n
                                                                         et
                          Fig 3.7 Ladder type D/A circuit
 •   Mathematically analyzing
                      alyzing this ladder network is a bit more complex
                                                                  mplex than for the
     previous circuit, where
                         ere e
                             each input resistor provided an easily-calcul
                                                                    calculated gain for
     that bit.
 •   For those who are inter
                       interested in pursuing the intricacies of this circuit
                                                                      ci      further,
     you may opt to use
                     se Th
                        Thevenin's theorem for each binary input
                                                             put (remember
                                                                 (r        to
62
        consider the effects of the virtual ground), and/or use a simulation program like
        SPICE to determine circuit response.
   •    Either way, you should obtain the following table of figures:
ww                                     | 010 | -2.50 V |
                                 ---------------------------------
En | 101 | -6.25 V |
   •
                                     ee| 111 | -8.75 V |
                                 ---------------------------------
                                                                             rin
        As was the case with the binary-weighted DAC design, we can modify the value
        of the feedback resistor to obtain any "span" desired.
                                                                                g.n
   •
                                                                                   et
        For example, if we're using +5 volts for a "high" voltage level and 0 volts for a
        "low" voltage level, we can obtain an analog output directly corresponding to the
        binary input (011 = -3 volts, 101 = -5 volts, 111 = -7 volts, etc.) by using a
        feedback resistance with a value of 1.6R instead of 2R.
63
ww obtained.
  w.E
                          asy
                              En
                                 gin
The truth table is shown below,
                          elow,
                                     ee
                         ccessive approximation type A/D converter
               Fig 3.8 Success
                                                                       rin
       Correct digital
                                    SAR Output Vd at
                                  different stages in the                 g.n
                                                                      Comparato
                                                                          arator output
       representation
11010100                       10000000
                                        conversion
                                                                             et
                                                               1 (initial output)
                                                                           utput)
                               11000000                        1
                               11100000                        0
                               11010000                        1
                               11011000                        0
                               11010100                        1
                               11010110                        0
                               11010101                        0
                               11010100
64
 •   A comparison of the
                      he spe
                         speed of 8-bit tracking ADC and SAR type ADC
                                                                  A   is given
     below, from the figure
                      igure it is noted that the conversion time of tr
                                                                    tracking ADC
     increases with the incre
                        increase in the number of bits. But the conver
                                                                 onversion type of
     SAR ADC remains constant
                     const    irrespective of the number of bits used.
ww
  w.E
                      asy
        Fig 3.9 Successive
                          En
                       ive approximation
                           a             type A/D converter wavefo
                                                             aveform
 •
     frequency response
                     se an
     A second order LPF
                      F having
                        hav      ee
                        and plot the same. (May 2016)
                                                                  rin
                               a gain 40dB/decade 1in stop band. First
                                                                 Firs orders LPF
     can be converted into a II order type simply by using an additional
                                                                  tional RC network.
     The gain of the III order
                                                                     g.n
                         orde filter is set by R1 and RF, while the high cut off
     frequency fH is determin
     filter
                        ermined by R2,C2, R3 and C3.It is also called
                                                                        et
                                                                 lled as Sallen-Key
                       Fig 3.10
                           3. Second order LPF circuit
                                         65
                            asy
                                En
                                   gin
                                       ee                                rin
         Fig 3.12 Second orde
                         order LPF circuit frequency response S domain
In this circuit all the componen
                                                                dom
                           ponents and the circuit parameters are express   g.n
                                                                    pressed in the S-
domain where S = jω .
               Rf 
        V0 = 1 +    VB = A0VB
                                                                               et
                  Ri  
                      Rf
Where      A0 = 1 +                     VB= voltage at node B
                       Ri
Apply KCL at node A
            I1 = I2 + I 3
Let         Y1 = 1/R, Y2 = 1 / R, Y3 = Y4 = SC
            (Vi-VA) Y1 = (VA - VB) Y2 + (VA - V0) Y3-------------->(1)
            Vi Y1 = VA (Y1 + Y2 + Y3) - VB Y2 - V0 Y3--------------->(2)
66
ww                     Y + Y4 
            V A = VB  2       --------------------->(5)
  w.E
Apply (5) in (4)
                       Y2 
            ViY1 =
                      V0
                      A0
                           
                                 asy
                            Y2 + Y4 
                             Y2 
                                                               VY
                                     (Y1 + Y2 + Y3 ) − V0Y3 − 0 2
                                                                A0
            Vi Y1 =
                       V0
                             [       En
                            (Y2 + Y4 )(Y1 + Y2 + Y3 ) − Y2Y3 A0 − Y22   ]
             V0
                      Y2 A0
                                 Y1Y2 A0gin
             Vo
                =
                =
                                Y1Y2 A0
                                            ee
             Vi (Y2 + Y4 )(Y1 + Y2 + Y3 ) − Y2Y3 A0 − Y22
                                                                                    rin
             Vi Y1Y2 + Y4 (Y1 + Y2 + Y3 ) + Y2Y3 (1 − A0 )
Replace Y1 = Y2 = 1/R and Y3 = Y4 = SC                                                 g.n
           H (S ) =
                        V0
                           = 2 2 2
                                        Ao
                                   + SCR(3 − A0 ) + 1
                        Vi S C R ---------------------------->(6)
                                                                                          et
From eqn.(6) it is noted that H(0) = A0 for S = 0 and H(∞) = 0 for S = ∞.
The transfer function of low pass second order hydraulic electrical and mechanical
system can be written as
            A0ωh2
H (S ) = 2              ----------------->(7)
        S + αωh S + ωh2
Where A0 = gain,
ωh = 1/RC = upper cutoff frequency in radians per seconds.
α = (3- A0) = damping coefficient
                                                    67
put S = jω in eqn.(7)
                             A0
H ( jω ) =
             ( jω / ω h )
                        2
                            + jα (ω / ω h ) + 1
The normalized expression
                        n for LPF is
                                   A0
                  H ( jω) =       2
                               S + αS n + 1
                                  n
ww
  w.E
                                  asy
                                      En
                                         gin
   •
       Fig 3.13 Second order
       For heavily damped
                        d filte
                                             ee
                        rder LPF circuit frequency response with
                                                               h α values
                                                                   v
                          filter (α >1.7) the response is stable. The
                                                                   he ro
                                                                              rin
                                                                      roll off begins
   •
       very early to the pass
       As α is reduced the
                           ss ba
                              band.
                         e response
                           resp     exhibits overshoot and ripple begins         g.n
                                                                   egins to appear at
       the early stage of pass band. If α is reduced too much the filter m
       oscillatory.
                                                                         may become
                                                                                    et
   •   The flattest pass band occurs for damping coefficient is 1.414.
                                                                   14. This
                                                                       T    is called
       butter worth filter. Audio filters are usually butter worth filter.
                                                                        r. The Chebyshev
       filters more likely dampe
                            amped                 =1.06.
   •   A Bessel filter is heavily
                           eavily damped and has a damping coefficient
                                                                 cient of
                                                                       o 1.73. This
       gives better pulse respon
                          response however causes attenuation in the
                                                                   e upper
                                                                     uppe end of the
       pass band.
Filter Design:
   1. Choose a value forr a high
                            hig cut off freq (fH ).
68
 4. Finally, because of the equal resistor (R2 = R3) and capacitor (C2 = C3 ) values,
    the pass band volt gain AF = 1 + RF / R1 of the second order had to be = to
    1.586.       RF = 0.586 R1 . Hence choose a value of R1 < =100kΩ and
 5. Calculate the value of RF.
ww
  w.E
                      asy
                          En
                             gin
                                 ee                               rin
                                                                     g.n
                                                                        et
69
                                          UNIT IV
                                       SPECIAL ICs
Part - A
1. What are the applications of 555 Timer?
      •    Astable multivibrator
      •    Monostable multivibrator
      •    Missing pulse detector
      •    Linear ramp generator
      •    Pulse width modulation
      •    FSK generator
                                 gin
           Pulse width modulation.
3. List the applications of 555 timer in Astable mode of operation:
      *
      *
           FSK generator
           Pulse-position modulator
4. Define 555 IC?
                                     ee                               rin
                                                                         g.n
      The 555 timer is an integrated circuit specifically designed to perform signal
generation
and timing functions.
5. List the basic blocks of IC 555 timer?
                                                                            et
      •    A relaxation oscillator
      •    RS flip flop
      •    Two comparator
      •    Discharge transistor.
6. List the features of 555 Timer?
      •    It has two basic operating modes: monostable and astble
      •    It is available in three packages. 8 pin metal can , 8 pin dip, 14 pin dip.
      •    It has very high temperature stability.
70
ww
10. What does you mean by PLL?
       A PLL is a basically a closed loop system designed to lock output frequency
  w.E
and phase to the frequency and phase of an input signal.
11. Define lock range.
                           asy
       When PLL is in lock, it can trap freq changes in the incoming signal. The range
                               En
of frequencies over which the PLL can maintain lock with the incoming signal is called
as lock range.
12. Define capture range.
                                  gin
signal is called as capture range.
13. Define pull-in time.
                                      ee
       The range of frequencies over which the PLL can acquire lock with the input
                                                                       rin
                                                                          g.n
       The total time taken by the PLL to establish lock is called pull-in time.
14. List the applications of 565 PLL.
       •
       •
           Frequency multiplier
           Frequency synthesizer
                                                                             et
       •   FM detector
71
Part - B
1) Discuss in detail about Mo
                           Monostable multivibrator using 555 timer
                                                                 er IC
Block Diagram of 555 Timer
                        er IC:
ww
  w.E
                         asy
   •
                        Fig
                             En
                          g 4.1 Block Diagram of 555 Timer IC
       From the above figure
                      figure, three 5k internal resistors act as
                                                               s voltage
                                                                 vol     divider
       providing bias voltage
                                gin
                           ge of 2/3 Vcc to the upper comparator & 1/3
                                                                    /3 Vcc to the lower
       comparator. It is possib
       voltage to the control       ee
                          ossible to vary time electronically by applying
                          rol voltage
                              vol     input terminal.
                                                                     ying a modulation
                                                                     rin
MONOSTABLE OPERATION:
                 ION:
                                                                        g.n
                                                                           et
Model Graph:
  w.E
   •
       ON & capacitor C is shor
                           shorted to ground. The output remains low.
       During negative going
                        oing trigger
                             tr      pulse, transistor Q1 is OFF, which
                                                                   hich releases the
   •
                          asy
       short circuit across the e
                                external capacitor C & drives the outputt high
       Now the capacitor C starts
                                                                          high.
                           sta charging toward Vcc through RA. When the voltage
       across the capacitor
                        tor eq
                              En
                            equals 2/3 Vcc, upper comparator switches
                                                                tches from low to
   •
       Vcc with a time constant
                         nstant RC.
       After the time period,
                                     ee                                rin
                           d, the upper comparator resets the FF, i.e.. Q = 1, Q1 = ON;
       the output is low. i.e
                           .e disc
       voltage across the capacitor
                          capac     as in fig (b) is given by             g.n
                              discharging the capacitor C to ground potentia
                                                                      tential (Fig.c) The
               Vc = Vcc (1-e-t/RC
Therefore At t = T, Vc = 2/3
                             t/RC
                          /3 Vcc
                                  ) fffff. (1)                               et
                          cc(1-e-T/RC)
               2/3 Vcc = Vcc(1              or      T = RC ln (1/3)
          or       T = 1.1RC
                          RC se
                             seconds ffff. (2)
If the reset is applied Q2 = OFF
                             OFF, Q1 = ON, timing capacitor C immediately
                                                                   iately discharged.
The output now will be as in figure (d & e). If the reset is released
                                                                   ed output
                                                                      ou     will still
remain low until a negative
                          e goin
                            going trigger pulse is again applied at pin 2.
73
ww
  w.E
                        asy
                            En
                               gin
                                   ee                               rin
                            Fig 4.4 Astable Multivibrator
                                                                       g.n
Model Graph                                                               et
The above figures show the 555 timer connected as an astable multivibrator and its
model graph
Initially, when the output is high :
   •   Capacitor C starts charging toward Vcc through RA & RB.
   •   However, as soon as voltage across the capacitor equals 2/3 Vcc. Upper
       comparator triggers the FF & output switches low.
ww •
       goes High.
       Then cycle repeats. The capacitor is periodically charged & discharged
  w.E
   •
       between 2/3 Vcc & 1/3 Vcc respectively.
       The time during which the capacitor charges from 1/3 Vcc to 2/3 Vcc equal to
                          asy
       the time the output is high & is given by
                              En
                             tc = ln 2(RA+RB)C ffffff.(1)
                             Where [ln 2 = 0.69]
                                 gin
                                  = 0.69 (RA+RB)C
                                     ee
                Where, RA & RB are in ohms. And C is in farads.
Similarly, the time during which the capacitors discharges from 2/3 Vcc to 1/3 Vcc is
equal to the time, the output is low and is given by,                rin
                            tc = RB C ln 2
                               td = 0.69 RB C ffffffff.(2)              g.n
              where, RB is in ohms and C is in farads.
Thus the total period of the output waveform is
                                                                           et
                               T = tc + td = 0.69 (RA+2RB)C ff..(3)
This, in turn, gives the frequency of oscillation as,
                             f 0 = 1/T = 1.45/(RA+2RB)C fff(4)
Equation 4 indicates that the frequency f    0   is independent of the supply voltage Vcc.
Often the term duty cycle is used in conjunction with the astable multivibrator. The duty
cycle is the ratio of the time tc during which the output is high to the total time period T.
It is generally expressed as a percentage.
ww
  w.E                   Fig 4.6 Basic Block Diagram of a PLL
Phase locked loop construction and operation:
      •
                         asy
          The PLL consists of i) Phase detector ii) LPF iii) VCO. The phase detector or
          comparator compares the input frequency fIN with feedback frequency fOUT.
      •
                             En
          The output of the phase detector is proportional to the phase difference
      •
          between fIN & fOUT.
                                gin
          The output of the phase detector is a dc voltage & therefore is often referred
      •
          to as the error voltage.
                                    ee                               rin
          The output of the phase detector is then applied to the LPF, which removes
                                                                        g.n
          the high frequency noise and produces a dc level. This dc level in turn, is
          input to the VCO.
      •
      •
                                                                           et
          The output frequency of VCO is directly proportional to the dc level.
          The VCO frequency is compared with input frequency and adjusted until it is
          equal to the input frequencies.
      •   PLL goes through 3 states, i) free running ii) Capture iii) Phase lock.
      •   Before the input is applied, the PLL is in free running state. Once the input
          frequency is applied the VCO frequency starts to change and PLL is said to
          be in the capture mode.
      •   The VCO frequency continuous to change until it equals the input frequency
          and the PLL is in phase lock mode.
      •   When Phase locked, the loop tracks any change in the input frequency
          through its repetitive action.
                                            76
ww voltage vc to VCO.
  w.E  •   The signal vc shifts the VCO frequency in a direction to reduce the
           frequency difference between fs and fo.
       •
                           asy
           Once this action starts, we say that the signal is in the capture range. The
           VCO continues to change frequency till its output frequency is exactly the
       •                       En
           same as the input signal frequency. The circuit is then said to be locked.
           Once locked, the output frequency fo of VCO is identical to fs except for a
                                  gin
           finite phase difference φ.
       •
                                      ee
           This phase difference φ generates a corrective control voltage vc to shift the
                                                                       rin
           VCO frequency from f0 to fs and thereby maintain the lock. Once locked,
           PLL tracks the frequency changes of the input signal. Thus, a PLL goes
                                                                          g.n
           through three stages (i) free running, (ii) capture and (iii) locked or tracking.
Capture range:
   •                                                                         et
       The range of frequencies over which the PLL can acquire lock with an input
       signal is called the capture range. This parameter is also expressed as
       percentage of fo.
Pull-in time:
   •   The total time taken by the PLL to establish lock is called pull-in time. This
       depends on the initial phase and frequency difference between the two signals
       as well as on the overall loop gain and loop filter characteristics.
77
ww
(b) Low – Pass filter:
  w.E
   •   The function of the LPF is to remove the high frequency components in the
       output of the phase detector and to remove the high frequency noise.
   •
                         asy
       LPF controls the characteristics of the phase locked loop. i.e, capture range,
       lock ranges, bandwidth
   •
                             En
       Lock range (Tracking range): The lock range is defined as the range of
                                gin
       frequencies over which the PLL system follows the changes in the input
       frequency fIN.
   •
                                    ee
       Capture range: Capture range is the frequency range in which the PLL acquires
                                                                     rin
       phase lock. Capture range is always smaller than the lock range.
   •
                                                                        g.n
       Filter Bandwidth: Filter Bandwidth is reduced, its response time increases.
       However reduced Bandwidth reduces the capture range of the PLL. Reduced
                                                                           et
       Bandwidth helps to keep the loop in lock through momentary losses of signal
       and also minimizes noise.
78
ww
  w.E
                           asy
                               En
                                  gin
   •                                  ee
                           Fig. 4.7. VCO pin and block diagram
                                                                       rin
       Referring to the circuit in the above figure, the capacitor c1 is linearly charged
       or discharged by a constant current source/sink.
   •
                                                                          g.n
       The amount of current can be controlled by changing the voltage vc applied at
   •
       IC chip. The voltage at pin 6 is held at the same voltage as pin 5.   et
       the modulating input (pin 5) or by changing the timing resistor R1 external to the
       Thus, if the modulating voltage at pin 5 is increased, the voltage at pin 6 also
       increases, resulting in less voltage across R1 and thereby decreasing the
       charging current.
   •   The voltage across the capacitor C1 is applied to the inverting input terminal of
       Schmitt trigger via buffer amplifier.
   •   The output voltage swing of the Schmitt trigger is designed to Vcc and 0.5 Vcc.
       If Ra = Rb in the positive feedback loop, the voltage at the non-inverting input
       terminal of Schmitt trigger swings from 0.5 Vcc to 0.25 Vcc.
79
ww
  w.E
                         asy
                       where
                          re V+ is Vcc.
   •   The output frequency
       the voltage vc at the En
                         cy of the VCO can be changed either by (i)
                           e mod
                             modulating input terminal pin 5.
                                                                 i) R1, (ii) c1 or (iii)
   •
       figure below.
       The components R1and
       in the centre of the op
                                    ee
                       1and c1 are first selected so that VCO output
                                                                     rin
                                                                tput frequency
                                                                     fr
                            operating frequency range. Now the modulating
                                                               modu       input
                                                                               lies
       voltage is usually varied from 0.75 Vcc to Vcc which can produce
       variation of about 10
                           0 to 1.
                                1
                                                                        g.n
                                                                   duce a frequency
et
80
                                          UNIT – V
                                     APPLICATION ICs
Part - A
ww 3. How power amplifies is classified? Mention any one power amplifier IC?
       (April/May 2015)
                          asy
   4. What is an opto-coupler? (April/May 2015), (April/May 2012)
                              En
       Opto-coupler IC is a combined package of a photo-emitting device and a photo-
       sensing device.
   •
                                 gin
       Better isolation between the two stages.
   •
   •
   •
       Wide frequency response       ee
       Impedance problem between the stages is eliminated.
81
ww
  w.E
                     asy
 7. What is a switching regulator? (Nov/Dec 2014)
    Switching regulators are those which operate the power transistor as a high
                         En
    frequency on/off switch, so that the power transistor does not conduct current
                            gin
    continuously. This give improved efficiency over series regulators.
 8. Draw the pin diagram of IC 8038 (Nov/Dec 2014)
Sine adjust 1 ee 14 NC
                                                                   rin
     Sine out
     Triangle out
                      2
                      3
                                    13
                                    12
                                                    NC
 Frequency adjust
                      4     IC
                           8038
                                    11            -VEE Or GND            et
                      5             10          Timing Capacitor
82
ww
 •
 •
     Impedance problem between the stages is eliminated.
     Wide frequency response
 •
 •
  w.EEasily interfaced with digital circuit
     Compact and light weight
 •                      asy
     Problems such as noise, transients, contact bounce, are eliminated
                            En
 11. Define load regulation (Nov/Dec 2013)
     It is defined as the change in output voltage for a change in load current and of
                               gin
     V0. Typical value of load regulation for 7805 is 15mV for 5mA < I0 < 1.5A
 •
     2012)                         ee
 12. What are the applications of switch mode power supplies? (April/May
83
ww     reliability and price which are more favorable than those of passive LC and RC
       active filters.
  w.E
Part -B
                          asy
                              En
   1. With a neat diagram explain the operation of LM 380 power amplifier
       (Nov/Dec 2014), (Nov/Dec 2013)
   Features of LM380:
                                 gin
                                     ee
   1. Internally fixed gain of 50 (34dB)
   2. Output is automatically self centering to one half of the supply voltage.
   3. Output is short circuit proof with internal thermal limiting.
                                                                      rin
   4. Input stage allows the input to be ground referenced or ac coupled.
   5. Wide supply voltage range (5 to 22V).                              g.n
   6. High peak current capability.
   7. High impedance
                                                                            et
   8. Low total harmonic distortion
   9. Bandwidth of 100 KHz at Pout = 2W & RL = 8Ω
Introduction:
   •   Small signal amplifiers are essentially voltage amplifiers that supply their loads
       with larger amplifier signal voltage.
   •   On the other hand, large signal or power amplifier supply a large signal current
       to current operated loads such as speakers & motors.
   •   In audio applications, however, the amplifier called upon to deliver much higher
       current than that supplied by general purpose op-amps.
                                               84
ww
  w.E
                      asy
                          En
                             gin
          Fig 5.1 Functional
                                 ee                               rin
                      tional block diagram of Audio Power Amplifier
                                                            plifier
                                                                     g.n
                                                                        et
85
ww
  w.E
                          asy      Fig 5.2 Pin diagram
                              En
                                 gin
                                     ee                               rin
                                                                         g.n
                                                                            et
                                  Fig 5.3 Block diagram
LM380 circuit description:
It is connected of 4 stages,
  i.    PNP emitter follower
 ii.    Different amplifier
 iii.   Common emitter
                                             86
ww• The current mirror formed by transistor Q7, Q8 & associated resistors then
  w.E
  •
          establishes the collector current of Q9.
          Transistor Q5 & Q6 constitute of collector loads for the PNP differential pair.
  •
                             asy
          The output of the differential amplifier is taken at the junction of Q4 & Q6
          transistors & is applied as an input to the common emitter voltage gain.
  (iii)
  •
             Common Emitter:
                                 En
          Common Emitter amplifier stage is formed by transistor Q9 with D1, D2 & Q8 as
          a current source load.
                                    gin
  •
  •
                                        ee
          The capacitor C between the base & collector of Q9 provides internal
                                                                         rin
          compensation & helps to establish the upper cutoff frequency of 100 KHz.
          Since Q7 & Q8 form a current mirror, the current through D1 & D2 is
          approximately the same as the current through R3.
                                                                            g.n
  •
                                                                               et
          D1 & D2 are temperature compensating diodes for transistors Q10 & Q11 in that
          D1 & D2 have the same characteristics as the base-emitter junctions of Q11.
          Therefore the current through Q10 & (Q11-Q12) is approximately equal to the
          current through diodes D1 & D2.
  (iv)       (Output stage) - Emitter follower:
  •       Emitter follower formed by NPN transistor Q10 & Q11. The combination of PNP
          transistor Q11 & NPN transistor Q12 has the power capability of NPN transistors
          but the characteristics of a PNP transistor.
  •       The negative dc feedback applied through R5 balances the differential amplifier
          so that the dc output voltage is stabilized at +V/2
87
       •      To decouple the input stage from the supply voltage +V, by pass capacitor in
              order of micro farad should be connected between the by-pass terminal (pin 1)
              & ground (pin 7).
       •      The overall internal gain of the amplifier is fixed at 50. However gain can be
              increased by using positive feedback.
       2. Draw and explain the functional diagram of 723 general purpose regulator
              (April/May 2012), (Nov/Dec 2012), (Nov/Dec 2011)
Features of IC723:
   i.         Unregulated dc supply voltage at the input between 9.5V & 40V
wwii.
 iii.
              Adjustable regulated output voltage between 2 to 3V
              Maximum load current of 150 mA (ILmax = 150mA)
  w.E
 iv.
  v.
              With the additional transistor used, ILmax upto 10A is obtainable
              Positive or Negative supply operation
 vi.
                                  asy
              Internal Power dissipation of 800mW
vii.
viii.                                 En
              Built in short circuit protection
              Very low temperature drift
 ix.          High ripple rejection
                                         gin
  ii.
              Reference generating block
              Error Amplifier
                                             ee
The simplified functional block diagram can be divided in to 4 blocks.
   i.
                                                                              rin
 iii.
 iv.
              Series Pass transistor
              Circuitry to limit the current                                     g.n
       (i)       Reference Generating block:
       The temperature compensated Zener diode, constant current source & voltage
                                                                                    et
reference amplifier together from the reference generating block. The Zener diode is
used to generate a fixed reference voltage internally. Constant current source will
make the Zener diode to operate at affixed point & it is applied to the Non – inverting
terminal of error amplifier. The Unregulated input voltage} Vcc is applied to the voltage
reference amplifier as well as error amplifier.
       (ii)       Error Amplifier:
       Error amplifier is a high gain differential amplifier with 2 inputs (inverting & non
inverting). The Non-inverting terminal is connected to the internally generated
88
ww
  w.E
                             asy  Fig 5.4 Pin diagram of IC723
89
ww
  w.E
                       asy
                           En
             Fig 5.5 Function
                              gin
                        ctional block diagram of Function generator
                                                               ator
                                  ee                               rin
                                                                      g.n
                                                                         et
                            Fig. 5.6. Output waveform
90
Pin description:
Pin 1 & Pin 12: Sine wave adjusts:
   •   The distortion in the sine wave output can be reduced by adjusting the 100KΩ
       pots connected between pin12 & pin11 and between pin 1 & 6.
  w.E
Pin 4 & Pin 5 Duty cycle / Frequency adjust:
   •   The symmetry of all the output wave forms & 50% duty cycle for the square
                         asy
       wave output is adjusted by the external resistors connected from Vcc to pin 4.
       These external resistors & capacitors at pin 10 will decide the frequency of the
       output wave forms.
                             En
Pin 6 + Vcc:
                                gin
   •
       pin.                         ee
       Positive supply voltage the value of which is between 10 & 30V is applied to this
                                                                     rin
Pin 7: FM Bias:
   •   This pin along with pin no8 is used to TEST the IC 8038.         g.n
Pin 9: Square Wave Output:
   •
                                                                           et
       A square wave output is available at this pin. It is an open collector output so
       that this pin can be connected through the load to different power supply
       voltages. This arrangement is very useful in making the square wave output.
91
ww •
   •
           Low frequency drifts due to change in temperature.
           Easy to use
  w.E
Parameters:
   (i)        Frequency of the output wave form:
   •
                              asy
           The output frequency dependent on the values of resistors R1 & R2 along with
           the external capacitor C connected at pin 10.
   •
                                  En
           If RA= RB = R & if RC is adjusted for 50% duty cycle then fo = RC 0.3; RA = R1,
   (ii)
           RB = R3, RC = R2
                                     gin
              Duty cycle / Frequency Adjust: (Pin 4 & 5):
   •
                                         ee
           Duty cycle as well as the frequency of the output wave form can be adjusted by
           controlling the values of external resistors at pin 4 & 5.
                                                                          rin
   •
                                                                             g.n
           The values of resistors RA & RB connected between Vcc * pin 4 & 5 respectively
           along with the capacitor connected at pin 10 decide the frequency of the wave
   •
           form.
           The values of RA & RB should be in the range of 1kΩ to 1MΩ.
                                                                                et
   (iii)      FM Bias:
   •       The FM Bias input (pin7) corresponds to the junction of resistors R1 & R2.
   •       The voltage Vin is the voltage between Vcc & pin8 and it decides the output
           frequency.
   •       The output frequency is proportional to Vin as given by the following expression
           For     RA = RB (50% duty cycle).
                   fo = CRAVcc
                   1.5Vin ; where C is the timing capacitor
92
With pin 7 & 8 connected to each other the output frequency is given by fo = RC 0.3
where R = RA = RB for 50% duty cycle.
   (iv)      FM Sweep input (pin 8):
   •      This input should be connected to pin 7, if we want a constant output frequency.
          But if the output frequency is supposed to vary, then a variable dc voltage
          should be applied to this pin. The voltage between Vcc & pin 8 is called Vin and it
          decides the output frequency as, 1.5 Vin        fo = C RA Vcc
   •      A potentiometer can be connected to this pin to obtain the required variable
          voltage required to change the output frequency.
ww
4. What are IC voltage regulators? Explain the principle of IC LM 317 as a voltage
regulator (Nov/Dec 2010)
  w.E
Classifications of IC voltage regulators:
IC Voltage Regulator:
   •
   •      Positive/negative   asy
          Fixed Volt Reg. Adjustable O/P Volt Reg Switching Reg
   •
                                  En
          Fixed & Adjustable output Voltage Regulators are known as Linear Regulator.
   •
Switching Regulator:                 gin
          A series pass transistor is used and it operates always in its active region.
   •
   •
                                         ee
          Series Pass Transistor acts as a switch.
          The amount of power dissipation in it decreases considerably.
                                                                          rin
   •
Adjustable Voltage Regulator:                                                g.n
          Power saving result is higher efficiency compared to that of linear.
93
ww •
       terminals are Vin, Vout & a
       LM317 requires only
                        ly 2 e
                                 adjustment (ADJ).
                             external resistors to set the output voltage.
  w.E
   •   LM317 produces a volta
                        voltage of 1.25v between its output & adjustme
       This voltage is called
                           ed as Vref.
                                                                 ustment terminals.
   •
                            asy
       Vref (Reference Voltage)
                         ltage) is a constant; hence current I1 flows
                                                                    s through
                                                                      thro    R1 will
       also be constant. Becau
       “program resistor”.      En
                          ecause resistor R1 sets current I1. It is called
                                                                       led “current
                                                                           “cu      set” or
   •   Resistor R2 is called
                        lled as
                                   gin
                             a “Output set” resistors, hence current
                                                               rrent through this
   •
       resistor is the sum of I1 & Iadj
       LM317 is designed in su         ee
                            such as that Iadj is very small & constant
       line voltage & load curre
                           current.                                       rin
                                                                    nt with changes in
94
ww
  w.E
                           asy
                        Fig. 5.8. Practical Regulator using LM317
    •   If LM317 is far away
                               En
                          ay from
                             fro the input power supply, then 0.1µff disc type or 1µf
    •
        tantalum capacitor shoul
        The output capacitor      gin
                           should be used at the input of LM317.
                          or Co is optional. Co should be in the range of 1 tto 1000µf.
    •   The adjustment termina
        ripple rejection ratio
                             o as h
                                      ee
                         rminal is bypassed with a capacitor C2 this
                                                                  is will improve the
                                                                       rin
                                  high as 80 dB is obtainable at any output
                                                                         ut lev
                                                                            level.
    •   When the filter capacitor
                           acitor is used, it is necessary to use the protectiv
                                                                         tective diodes.
    •   These diodes do not a
                            allow the capacitor C2 to discharge through
                                                                throu     g.n
                                                                        the low
    •
        current point of the regulator.
        These diodes are requ
                             regul
                         required only for high output voltages (above
        higher values of output
                           tput ccapacitance 25µf and above.
                                                                             et
                                                                 above 25v) & for
95
•       Depending on the type of light source & detector used we can get a variety of
        optocouplers. They are as follows,
           (i)     LED – LDR optocoupler
           (ii)    LED – Photodiode optocoupler
           (iii)   LED – Phototransistor optocoupler
Characteristics of optocoupler:
(i)        Current Transfer Ratio (CTR)
(ii)       Isolation Voltage
(iii)      Response Time
(iv)       Common Mode Rejection
ww
Types of optocoupler:
(i) LED – Photodiode optocoupler:
  w.E
                               asy
                                   En
                                      gin
                                          ee                               rin
                                                                              g.n
                                                                                 et
                        Fig. 5.9. Optocoupler circuit and its waveform
•       LED photodiode shown in figure, here the infrared LED acts as a light source &
        photodiode is used as a detector.
•       The advantage of using the photodiode is its high linearity. When the pulse at the
        input goes high, the LED turns ON. It emits light. This light is focused on the
        photodiode.
96
•   In response to this light the photocurrent will start flowing though the photodiode.
    As soon as the input pulse reduces to zero, the LED turns OFF & the photocurrent
    through the photodiode reduces to zero. Thus the pulse at the input is coupled to
    the output side.
ww
  w.E
                           asy
                               En
                                  gin
                                      ee                               rin
                                                                          g.n
•
        Fig. 5.10. LED – Phototransistor Optocoupler circuit & its waveform
                                                                             et
    The LED phototransistor optocoupler shown in figure. An infrared LED acts as a
    light source and the phototransistor acts as a photo detector.
•   This is the most popularly used optocoupler, because it does not need any
    additional amplification.
•   When the pulse at the input goes high, the LED turns ON. The light emitted by the
    LED is focused on the CB junction of the phototransistor.
•   In response to this light photocurrent starts flowing which acts as a base current for
    the phototransistor.
97
•   The collector current of phototransistor starts flowing. As soon as the input pulse
    reduces to zero, the LED turns OFF & the collector current of phototransistor
    reduces to zero. Thus the pulse at the input is optically coupled to the output side.
Advantages of Optocoupler:
•   Control circuits are well protected due to electrical isolation.
•   Wideband signal transmission is possible.
•   Due to unidirectional signal transfer, noise from the output side does not get
    coupled to the input side.
•   Interfacing with logic circuits is easily possible.
•   It is small size & light weight device.
ww
Disadvantages:
•
• w.E
    Slow speed.
    Possibility of signal coupling for high power signals.
Applications:
    •                     asy
        Optocouplers are used basically to isolate low power circuits from high power
    •
        circuits.
                              En
        At the same time the control signals are coupled from the control circuits to the
        high power circuits.     gin
Optocoupler IC:
                                     ee                                rin
        The optocouplers are available in the IC form MCT2E is the standard
optocoupler IC which is used popularly in many electronic application.
•                                                                         g.n
    This input is applied between pin 1& pin 2. An infrared light emitting diode is
•
    connected between these pins.
                                                                             et
    The infrared radiation from the LED gets focused on the internal phototransistor.
•   The base of the phototransistor is generally left open. But sometimes a high value
    pull down resistance is connected from the Base to ground to improve the
    sensitivity.
•   The block diagram shows the opto-electronic-integrated ciruit (OEIC) and the major
    components of a fiber-optic communication facility.
98
ww
  w.E
  Fig. 5.11 Block
                k dia
                  diagram of opto-electronic-integrated circ
                                                           cuit
              asy
                  En
                     gin
                         ee                               rin
                                                             g.n
                                                                et
99
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
100
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
101
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
102
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
103
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
104
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
105
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
106
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
107
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
108
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
109
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
110
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
111
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
112
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
113
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
114
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
115
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
116
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
117
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
118
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
119
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
120
ww
  w.E
     asy
         En
            gin
                ee                              rin
                                                   g.n
                                                      et
121