PN Junction Diode, BJT and FET
PN Junction Diode, BJT and FET
Diode Applications: Operation of Diode Rectifiers (Half Wave, Full Wave & Bridge) and Zener Voltage Regulator.
Number Systems: Introduction to Number Systems, Base Conversion Methods, Complements of numbers, Codes –
binary codes, Binary Coded Decimal code and its properties, Gray Code, Alpha Numeric Codes, Error Detecting and
Correcting Codes.
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                       ANALOG & DIGITAL ELECTRONICS (A30461)
                              B. Tech. (CSE) III-Semester
Unit- IV: Boolean Algebra and Combinational Circuits
Basic theorems and properties - Switching Functions, Canonical and Standard Forms-Algebraic simplification,
Digital Logic Gates, Properties of XOR gates &Universal Gates-Multilevel NAND/NOR realizations, The
Minimization of Boolean functions, Karnaugh Map method –four and five variable maps, Prime and Essential
Implications, Don ‘t Care Map Entries .
       Reference Books
       1. Integrated Electronics- J. Millman and Christos C. Halkais, 1991 Ed., 2008, TMH.
       2. Electronic Devices and Circuits- R.L. Boylstad and Louis Nashelsky, 9 Ed., 2006, PEI/PHI
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                                            N-Type Material
                N-Type Material:                     ➢ When extra valence electrons are introduced into a material
                                                       such as silicon an n-type material is produced. The extra
                                                       valence electrons are introduced by putting impurities or
                                                       dopant into the silicon. The dopant used to create an n-type
                                                       material are Group V elements.
                                                     ➢ The 2D diagram to the left shows the extra electron that will
                                                       be present when a Group V dopant is introduced to a material
                                                       such as silicon. This extra electron is very mobile.
                                            ➢ The 2D diagram to the left shows the hole that will be present
                                              when a Group III dopant is introduced to a material such as
                                              silicon. This hole is quite mobile in the same way the extra
                                              electron is mobile in a n-type material.
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                                                 Energy-band diagram of p-type semiconductor           4
                            Conductivity of a Semiconductor
   ❑ With each hole-electron pair created, two charge-carrying “particles” are formed. One is negative (the
     free electron), of mobility mn, and the other is positive (the hole), of mobility mp. These particles move
     in opposite directions in an electric field e, but since they are of opposite sign, the current of each is in
     the same direction. Hence the current density J is given by
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            Properties of germanium and silicon
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                       Fermi Level in a Semiconductor Having Impurities
  ➢ In order to see how EF depends on temperature and impurity concentration, we recall that, in the case of no
    impurities (an int r ins ic semiconductor), EF lies in the middle of the energy gap, indicating equal
    concentrations of free electrons and holes.
  ➢ If a donor type impurity is added to the crystal, then, at a given temperature and assuming all donor atoms are
    ionized, the first ND states in the conduction band will be filled. Hence it will be more difficult for the
    electrons from the valence band to bridge the energy gap by thermal agitation.
  ➢ Consequently, the number of electron-hole pairs thermally generated for that temperature will be reduced.
    Since the Fermi level is a measure of the probability of occupancy of the allowed energy states, it is clear that
    EF must move closer to the conduction band to indicate that many of the energy states in that band are filled
    by the donor electrons, and fewer holes exist in the valence band.
                                      -    -   -   -     -       +    +   +    +     +
                                      -    -   -   -     -       +    +   +    +     +                           When no external source is
                  P                   -    -   -   -     -       +    +   +    +     +                     n
                                      -    -   -   -     -       +    +   +    +     +                           connected to the pn junction,
                                                                                                                 diffusion and drift balance each
              ionized
                                                       Space Charge
                                                       Region
                                                                                                                 other out for both the holes and
                                                                                                       ionized
              acceptors                                                                                donors    electrons
                                                       E-Field
                                                                                         _        _
                             +        +
                  h+ drift       ==       h+ diffusion                e- diffusion           == e- drift
            Space Charge Region: Also called the depletion region. This region includes the net
            positively and negatively charged regions. The space charge region does not have any free
            carriers. The width of the space charge region is denoted by W in PN junction formula’s.
Metallurgical Junction: The interface where the p- and n-type materials meet.
            Na & Nd: Represent the amount of negative and positive doping in number of carriers per
            centimeter cubed. Usually in the range of 1015 to 1020.
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          The PN Junction diode
                       I
                                                                _
                                                      +
                                                     Vapplied
            The pn junction is considered as biased when an external voltage is applied. There are two types of biasing:
            1. Forward bias
            2. Reverse bias.
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                   The Biased PN Junction
            Forward Bias:   In forward bias the depletion region shrinks slightly in width. With this shrinking
                            the energy required for charge carriers to cross the depletion region decreases
                            exponentially. Therefore, as the applied voltage increases, current starts to flow
            Vapplied > 0    across the junction. The barrier potential of the diode is the voltage at which
                            appreciable current starts to flow through the diode. The barrier potential varies
                            for different materials.
            Reverse Bias:   Under reverse bias the depletion region widens. This causes the electric field
                            produced by the ions to cancel out the applied reverse bias voltage. A small
                            leakage current, Is (saturation current) flows under reverse bias conditions. This
            Vapplied < 0    saturation current is made up of electron-hole pairs being produced in the
                            depletion region. Saturation current is sometimes referred to as scale current
                            because of it’s relationship to junction temperature.
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             I-V Characteristics of P-N junction Diode
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                     Properties of Diodes
                                       The Shockley Equation
            • The transconductance curve on the previous slide is characterized by the following
              equation:
                            ID = IS(eVD/VT – 1)
            • As described in the last slide, ID is the current through the diode, IS is the saturation
              current and VD is the applied biasing voltage.
            • VT is the thermal equivalent voltage and is approximately 26 mV at room
              temperature. The equation to find VT at various temperatures is:
                                                       VT = kT
                                                             q
              k = 1.38 x 10-23 J/K       T = temperature in Kelvin         q = 1.6 x 10-19 C
            •  is the emission coefficient for the diode. It is determined by the way the diode is
              constructed. It somewhat varies with diode current. For a silicon diode  is around 2
              for low currents and goes down to about 1 at higher currents
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                  Types of Diodes and Their Uses
            PN Junction                Are used to allow current to flow in one direction while blocking
                                       current flow in the opposite direction. The pn junction diode is the
            Diodes:                    typical diode that has been used in the previous circuits.
                    A                            K                         P        n
                     Schematic Symbol for a PN                        Representative Structure for a
                     Junction Diode                                   PN Junction Diode
A K
            Light-Emitting       Light-emitting diodes are designed with a very large band gap so
                                 movement of carriers across their depletion region emits photons of
            Diodes:              light energy. Lower band gap LEDs (Light-Emitting Diodes) emit
                                 infrared radiation, while LEDs with higher band gap energy emit
                                 visible light. Many stop lights are now starting to use LEDs because
                                 they are extremely bright and last longer than regular bulbs for a
                                 relatively low cost.
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                    Types of Diodes and Their Uses
            Photodiodes:
                                     While LEDs emit light, Photodiodes are sensitive to received light.
                                     They are constructed so their pn junction can be exposed to the
                                     outside through a clear window or lens.
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             Ideal Diode
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                           Temperature dependence of V-I characteristics of
                                        P-N Junction diode
➢ The temperature is contained implicitly in VT and also in the reverse saturation current.
➢ The dependence of Io on temperature T is,                              where K is a constant and eVGO (e is the magnitude of
                                                                         the electronic charge), VGO is the forbidden-gap
                                                                         For Ge: h = 1 m = 2 VGO = 0.785 V
                                                                         for Si: h = 2 m = 1.5 VGO = 1.21 V
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                                           Static Resistance
 ➢ The static resistance R of a diode is defined as the ratio V/I of the voltage to the current.
 ➢ At any point on the volt-ampere characteristic of the diode, the resistance R is equal to the reciprocal of
     the slope of a line joining the operating point to the origin.
 ➢ The static resistance varies widely with V and I and is not a useful parameter.
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                                                 Transition Capacitance
              ➢ A reverse bias causes majority carriers to move away from the junction, thereby uncovering more
                  immobile charges.
              ➢ Hence the thickness of the space-charge layer at the junction increases with reverse voltage.
              ➢ This increase in uncovered charge with applied voltage may be considered a capacitive effect. We may
                  define an incremental capacitance CT by
             where dQ is the increase in charge caused by a change dV in voltage. It follows from this definition that
             a change in voltage dV in a time dt will result in a current i = dQ/dt, given by
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                                              Diffusion Capacitance
       For a forward bias a capacitance which is much larger than that considered in the preceding section comes into play.
       The origin of this capacitance is now discussed. If the bias is in the forward direction, the potential barrier at the
       junction is lowered and holes from the p side enter the n side. Similarly, electrons from the n side move into the p side.
       It is convenient to introduce an incremental capacitance, defined as the rate of change of injected charge with applied
       voltage. This capacitance CD is called the diffusion, or storage, capacitance.
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                                                       Zener Diode
             ➢ A Zener Diode, also known as a breakdown diode, is a heavily doped semiconductor device that is designed
               to operate in the reverse direction.
             ➢ When the voltage across the terminals of a Zener diode is reversed and the potential reaches the Zener Voltage
               (knee voltage), the junction breaks down and the current flows in the reverse direction. This effect is known as
               the Zener Effect.
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                                     Types of breakdowns for a Zener Diode
                  ❖ Avalanche Breakdown
                  ❖ Zener Breakdown
➢ Avalanche breakdown occurs in normal diode and Zener Diode at high reverse voltage.
➢ When a high value of reverse voltage is applied to the PN junction, the free electrons gain sufficient energy
➢ These free electrons moving at high velocity collide with other atoms and knock off more electrons. Due to
this continuous collision, a large number of free electrons are generated as a result of electric current in the
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                           Types of breakdowns for a Zener Diode
             ❑ Avalanche Breakdown: This sudden increase in electric current may
               permanently destroy the normal diode. However, a Zener diode is designed to
               operate under avalanche breakdown and can sustain the sudden spike of
               current.
             ❑ Avalanche breakdown occurs in Zener diodes with Zener voltage (Vz) greater
               than 6V.
             ❑ Zener Breakdown: When the applied reverse bias voltage reaches closer to the
              Zener voltage, the electric field in the depletion region gets strong enough to
              pull electrons from their valence band. The valence electrons that gain
              sufficient energy from the strong electric field of the depletion region break
              free from the parent atom.
             ❑ At the Zener breakdown region, a small increase in the voltage results in the
              rapid increase of the electric current.
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                              V-I Characteristics of Zener Diode
             When reverse-biased voltage is applied to a Zener diode, it allows only a small amount of
             leakage current until the voltage is less than Zener voltage.
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                                                 Zener Diode
     ➢ They are specially designed p-n junction diodes with adequate power dissipation capabilities to operate in the
       breakdown region which can be employed as voltage reference or constant voltage devices in the electronic circuits.
     ➢ In other words, a Zener diode maintains nearly a constant voltage across its terminals in the breakdown region
       irrespective of the current flowing through the diode in its operating regions. This important property of the Zener
       diodes is used to minimize the voltage fluctuation of a dc power supply obtained by the rectifier-filter combination
       discussed earlier.
     ➢ This is why; a Zener diode is sometimes called a voltage regulator diode and the diode circuit in which the Zener
       diodes are used as voltage regulator is called a Zener voltage regulator or simply a Zener regulator
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                                Zener Diode as Voltage regulator
       ➢ Zener diodes are designed to operate at voltages greater than the breakdown voltage (peak reverse voltage)
       ➢ The breakdown voltage of a Zener diode is determined by the resistivity of the diode
       ➢ Zener diodes are used to stabilize or regulate voltage
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             Zener Diode as Voltage regulator
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                                                    Rectifier
                A rectifier is an electrical device that converts alternating current (AC), which periodically
                reverses direction, to direct current (DC), which is in only one direction, a process known
                as rectification
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                                            Half Wave rectifier
       ➢ Any electrical device which offers a low resistance to the current in one direction but a high
         resistance to the current in the opposite direction is called a rectifier.
       ➢ Such a device is capable of converting a sinusoidal input waveform, whose average value is zero,
         into a unidirectional (though not constant) waveform, with a nonzero average component.
                             (a) Basic circuit of half-wave rectifier. (b) Transformer sinusoidal secondary voltage vi.
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             Half Wave rectifier
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                                         Half wave rectifier
      The effective or rms value squared of a periodic function of time is given by the area of one cycle
      of the curve which represents the square of the function, divided by the base. Expressed
      mathematically,
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                                         Half wave Rectifier
   When the diode is conducting, it has a resistance Rf, and the voltage across it is iRf. When the device is
   nonconducting, the current is zero, and from Fig. 6.1a it is seen that the transformer secondary voltage vi appears
   across the diode. Thus
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                                        Half wave rectifier
  Wattmeter: This instrument is built to indicate the average value of the product of the instantaneous current
  through its current coil and the instantaneous voltage across its potential coil.
  ➢ Hence the power read by a wattmeter, whose voltage coil is placed across the transformer secondary
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                                              Half wave rectifier
    Peak Inverse Voltage (PIV): For each rectifier circuit there is a maximum voltage to which the diode is subjected.
    This potential is called the peak inverse voltage, because it occurs during that part of the cycle when the diode is
    nonconducting. From Fig. 6.2 it is clear that for the half-wave circuit (without a filter) the peak inverse voltage is Vm,
    the peak transformer secondary voltage
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                                                Half wave rectifier
             A measure of the fluctuating components is given by the ripple factor r, which is defined as Ripple factor
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             Half wave rectifier
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                                              Full wave rectifier
     This circuit is seen to comprise two half-wave circuits which are so connected that conduction takes place through one
     diode during one half of the power cycle and through the other diode during the second half of the power cycle.
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                                             Full wave rectifier
             The current to the load which is the sum of these two currents, has the form shown in Fig. 6.3b. The
             dc and rms values of the load current in such a system are readily found, from the definitions (6.3)
             and (6.5), to be
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             Efficiency for HWR and FWR
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             Efficiency for HWR and FWR
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             Regulation for HWR and FWR
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             Regulation for HWR and FWR
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                                               Bridge rectifier
             (a) A bridge rectifier circuit, (b) Equivalent diode circuit for the positive half-cycle of vi, (c) Equivalent
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                                                Bridge rectifier
             (d) Typical waveforms of the input voltage vi, currents i1, i2 and the resultant current i = i1 + i2 flowing
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             through the load resistor R. The output voltage is v = iR.                                                     49
             Copyright ©
                                                    Bridge rectifier
         It is observed that the waveform of the current i is similar to that of Fig. 6.3b corresponding to the full-wave rectifier
         circuit. However, since two diodes conduct simultaneously for both the positive and negative cycles of the input,
         we can simply replace Rf by 2Rf in Eq. (6.18) to obtain
         As the output of the bridge rectifier is similar to that of the full-wave rectifier, we can easily substitute for Im from Eq.
         (6.22) in Eq. (6.17) to obtain Idc and Irms for this case.
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                                      Bipolar Junction Transistor
         The symbols VEB, VCB, and VCE are the emitter-base, collector-base, and collector-emitter voltages,
         respectively. (More specifically, VEB represents the voltage drop from emitter to base)
                  a) A p-n-p and an n-p-n-transistor. The emitter (collector) junction is JE (JC ), (b) Circuit representation
                  of the two transistor types
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                                      Potential Distribution through a Transistor
         The dashed curve applies to the case before the application of external biasing voltages, and the
         solid curve to the case after the biasing voltages are applied.
             (a) A p-n-p transistor with biasing voltages. (b) The potential barriers at the junction of the unbiased transistor.
             (c) The potential variation through the transistor under biased conditions. As the reverse-bias collector junction
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             voltage |VCB | is increased, the effective base width W decreases                                                      52
                                             Transistor Current Components
       In this Fig. we show the various current components which flow across the forward-biased emitter junction
       and the reverse-biased collector junction. The emitter current IE consists of hole current IpE (holes crossing
       from emitter into base) and electron current InE (electrons crossing from base into the emitter).
Transistor current components for a forward-biased emitter junction and a reversed-biased collector junction
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                                               Transistor Construction
         In Fig. 7.3 we show the various current components which flow across the forward-biased emitter
         junction and the reverse-biased collector junction. The emitter current IE consists of hole current
         IpE (holes crossing from emitter into base) and electron current InE (electrons crossing from base
   Construction of transistors. (a) Grown, (b) alloy, and (c) diffused, or epitaxial, planar types. (The dimensions are
   approximate, and the figures are not drawn to scale. The base width is given in microns, where 1 m = 1026 m = 1023 mm.)
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                                      The Common-Base Configuration
         We may completely describe the transistor of Fig. 7.1a or b by the following two relations, which give the
         input voltage VEB and output current IC in terms of the output voltage VCB and input current IE:
               ➢ In the case of the transistor, it turns out to be most useful to select the input
                 current and output voltage as the independent variables. The output current and
                 input voltage are expressed graphically in terms of the independent variables.
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                                      The Common-Base Configuration
  The relation of Eq. (7.34) is given in Fig. 7.5 for a typical p-n-p germanium transistor and is a plot of collector
  current IC versus collector-to-base voltage drop VCB, with emitter current IE as a parameter. The curves of Fig.
  7.5 are known as the output, or collector, static characteristics.:
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                                         Common-Emitter Configuration
             Most transistor circuits have the emitter, rather than the base, as the terminal common to both input
             and output. Such a common-emitter CE, or grounded-emitter, configuration is indicated in Fig. 7.7.
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                      Output Characteristics of Common-Emitter Configuration
             In Fig. 7.8 the abscissa is the collectorto-emitter voltage VCE, the ordinate is the collector current IC,
             and the curves are given for various values of base current IB.
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                                  Graphical Analysis of the CE Configuration
             The collector and emitter current and voltage component variations from the corresponding quiescent
             values are
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             Graphical Analysis of the CE Configuration
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             Graphical Analysis of the CE Configuration
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                            The Common-Collector Configuration
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                                         Transistor Current Components
   If the emitter were open-circuited so that IE = 0, then IpC would be zero. Under these circumstances, the base
   and collector would act as a reverse-biased diode, and the collector current IC would equal the reverse
   saturation current ICO. If IE ≠ 0, then from Fig. 7.3, we note that
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             Transistor Current Components
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             Transistor Current Components
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                                        Transistor Current Components
          The actual collector current with collector junction reverse-biased and base open-circuited is designated by
          the symbol ICEO. Since, even in the neighborhood of cutoff, a may be as large as 0.9 for germanium, then IC
          ≈10ICO at zero base current. Accordingly, in order to cut off the transistor, it is not enough to reduce IB to
05-12-2022zero. Instead, it is necessary to reverse-bias the emitter junction slightly.                                69
                                        Transistor Current Components
          The actual collector current with collector junction reverse-biased and base open-circuited is designated by
          the symbol ICEO. Since, even in the neighborhood of cutoff, a may be as large as 0.9 for germanium, then IC
          ≈10ICO at zero base current. Accordingly, in order to cut off the transistor, it is not enough to reduce IB to
05-12-2022zero. Instead, it is necessary to reverse-bias the emitter junction slightly.                                70
                                       Transistor Current Components
       ➢ The actual collector current with collector junction reverse-biased and base open-circuited is designated
         by the symbol ICEO. Since, even in the neighborhood of cutoff, a may be as large as 0.9 for germanium,
         then IC ≈10ICO at zero base current.
       ➢ Accordingly, in order to cut off the transistor, it is not enough to reduce IB to zero. Instead, it is
         necessary to reverse-bias the emitter junction slightly.
       Hence, even with IB = 0, we find, from Eq. (7.40), that IC = ICO = -IE, so that the transistor is still very
       close to cutoff. We verify in Sec. 7.15 that, in silicon, cutoff occurs at VBE ≈ 0 V, corresponding to a base
       short-circuited to the emitter. In summary, cutoff means that IE = 0, IC = ICO, IB = -IC = -ICO, and VBE is a
       reverse voltage whose magnitude is of the order of 0.1 V for germanium and 0 V for a silicon transistor
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             Reverse Collector Saturation Current ICBO
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             Large-Signal, dc, and Small-Signal CE Values of Current Gain
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             Transistor as an Amplifier
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             Ebers-Moll Model
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                                Comparison of CB, CE and CC characteristics
                                                                                              Common collector
             Characteristic               Common base (CB)              Common emitter (CE)
                                                                                              (CC)
             Input Dynamic Resistance     Very Low (less than 100 ohm) Low (less than 1K)     Very High(750K)
             Output Dynamic Resistance    Very High                    High                   Low
                                          Less than 1
             Current Gain                                              High                   Very High
                                          Medium
             Power gain                                                 Highest               Medium
                                          Very small
             Leakage current                                            Very large            Very large
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                                    Transistor Biasing and Thermal Stabilization
   ❑ Methods for establishing the quiescent operating point of a transistor amplifier in the active region of the
     characteristics.
   ❑ The operating point shifts with changes in temperature T because the transistor parameters (β, ICO, etc.) are
     functions of T. A criterion is established for comparing the stability of different biasing circuits.
   The current IB is constant, and the network of Fig 8.1 is called the fixed-
   bias circuit                                                                                                 78
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                          Transistor Biasing and Thermal Stabilization
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             Typical value for silicon and germanium transistor
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                                                  Bias Stability
  ➢ Let us refer to the biasing circuit of Fig. 8.1. In this
    circuit the base current IB is kept constant since IB a
    VCC/Rb. Let us assume that the transistor of Fig. 8.1 is
    replaced by another of the sametype.
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                                                  Bias Stability
  ➢ Let us refer to the biasing circuit of Fig. 8.1. In this
    circuit the base current IB is kept constant since IB a
    VCC/Rb. Let us assume that the transistor of Fig. 8.1 is
    replaced by another of the sametype.
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             Bias Stability
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             Bias Stability
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             Stability factors of BJT
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             Collector-to-Base Bias or Collector-Feedback Bias
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             Collector-to-Base Bias or Collector-Feedback Bias
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             Collector-to-Base Bias or Collector-Feedback Bias
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             Emitter-Feedback Bias
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             Emitter-Feedback Bias
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             Collector-Emitter Feedback Bias
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             Self-Bias, Emitter Bias, or Voltage-Divide Bias
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             Bias Compensation
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                                           Unijunction Transistor (UJT)
             A unijunction transistor (UJT) is a three-lead electronic semiconductor device with only one junction that
             acts exclusively as an electrically controlled switch.
             The UJT is not used as a linear amplifier. It is used in free-running oscillators, synchronized or triggered
             oscillators, and pulse generation circuits at low to moderate frequencies (hundreds of kilohertz). It is
             widely used in the triggering circuits for silicon controlled rectifiers.
             The unijunction transistor was invented as a byproduct of research on germanium tetrode transistors at
             General Electric. It was patented in 1953. Commercially, silicon devices were manufactured.
Another device whose construction is similar to that of the FET is indicated in Fig. 12.33.
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                                      Unijunction Transistor (UJT)
    ➢ The principal constructional difference between the FET and the UJT is that the gate surface of the former is
      much larger than the emitter junction of the latter.
    ➢ The main operational difference between the two devices is that the FET is normally operated with the gate
      junction reverse-biased, whereas the useful behaviour of the UJT occurs when the emitter is forward-biased.
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                                             Field-effect transistor
               ➢ The field-effect transistor is a semiconductor device which depends for its operation on the
                 control of current by an electric field.
               ➢ There are two types of field effect transistors, the junction field-effect transistor (abbreviated
                 JFET, or simply FET) and the insulated-gate field-effect transistor (IGFET), more commonly
                 called the metal-oxide-semi conductor (MOS) transistor (MOST or MOSFET).
        1. Its operation depends upon the flow of majority carriers only. It is therefore a unipolar (one type of
        carrier) device. The vacuum tube is another example of a unipolar device. The conventional transistor is a
        bipolar device.
        2. It is relatively immune to radiation.
        3. It exhibits a high input resistance, typically many meg-ohms.
        4. It is less noisy than a tube or a bipolar transistor.
        5. It exhibits no offset voltage at zero drain current, and hence makes an excellent signal chopper.2
        6. It has thermal stability.
        The main disadvantage of the FET is its relatively small gain-bandwidth product in comparison with that
        which can be obtained with a conventional transistor.                                                         97
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             The Junction Field-Effect Transistor
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             Field-Effect Transistor
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             Field-Effect Transistor
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             Junction Field-Effect Transistor
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             N-Channel JFET
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             P-Channel JFET
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                    The Junction Field-Effect Transistor
   FET Static Characteristics The circuit, symbol, and polarity conventions for a FET are indicated in
   Fig. 12.2. The direction of the arrow at the gate of the junction FET in Fig. 12.2 indicates the direction in which gate
   current would flow if the gate junction were forward-biased. The common-source drain characteristics for a typical n-
   channel FET shown in Fig. 12.3 give ID against VDS, with VGS as a parameter.
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                               The JFET Volt-Ampere Characteristics
      Assume, first, that a small voltage VDS is applied between drain and source. The resulting small drain current ID
      will then have no appreciable effect on the channel profile. Under these conditions we may consider the effective
      channel cross section A to be constant throughout its length.
      Hence A = 2bw, where 2b is the channel width corresponding to zero drain current as given by Eq. (12.3) for a
      specified VGS, and w is the channel dimension perpendicular to the b direction, as indicated in Fig. 12.1.
Since no current flows in the depletion region, then, using Ohm’s law [Eq. (4.1)], we obtain for the drain current
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             The JFET Volt-Ampere Characteristics
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Junction Field-Effect Transistor
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             Metal-oxide-semiconductor (MOS) transistor (MOSFET)
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             The JFET Volt-Ampere Characteristics
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             The Junction Field-Effect Transistor
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             MOSFET
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             MOSFET
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             MOSFET
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             MOSFET
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             Enhancement MOSFET
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                                             Enhancement MOSFET
             The Enhancement MOSFET                             If we ground the substrate for the structure of Fig. 12.10
             and apply a positive voltage at the gate, an electric field will be directed perpendicularly through the
             oxide.This field will end on “induced” negative charges on the semiconductor site, as shown in Fig. 12.10.
             The negative charge of electrons which are minority carriers in the p-type substrate forms an “inversion
             layer.” As the positive voltage on the gate increases, the induced negative charge in the semiconductor
             increases.
             The region beneath the oxide now has n-type carriers, the conductivity increases, and current
             flows from source to drain through the induced channel.
              Thus the drain current is “enhanced” by the positive gate voltage, and such a device is called an
             enhancement-type MOS.
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                                          Enhancement MOSFET
             The current IDSS at VGS ≤ 0 is very small, being of the order of a few nanoamperes. As VGS is made
             positive, the current ID increases slowly at first, and then much more rapidly with an increase in VGS.
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                                             Depletion MOSFET
     ➢ A second type of MOSFET can be made if, to the basic structure of Fig. 12.10, an n channel is diffused between
       the source and the drain, as shown in Fig. 12.12a. With this device an appreciable drain current IDSS flows for zero
       gate-to-source voltage, VGS = 0.
     ➢ If the gate voltage is made negative, positive charges are induced in the channel through the SiO2 of the gate
       capacitor. Since the current in a FET is due to majority carriers (electrons for an n-type material), the induced
       positive charges make the channel less conductive, and the drain current drops as VGS is made more negative.
     ➢ The redistribution of charge in the channel causes an effective depletion of majority carriers, which accounts for
       the designation depletion MOSFET.
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                                                Depletion MOSFET
             ➢ A MOSFET of the depletion type just described may also be operated in an enhancement mode.
             ➢ It is only necessary to apply a positive gate voltage so that negative charges are induced into the n-type
             channel. In this manner the conductivity of the channel increases and the current rises above IDSS.
             ➢ The volt-ampere characteristics of this device are indicated in Fig. 12.13a, and the transfer curve is
                given in Fig. 12.13b.
             ➢ The depletion and enhancement regions, corresponding to VGS negative and positive, respectively,
                should be noted.
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