ELECTRONIC DEVICES & CIRCUITS II B.TECH I SEMESTER, Slides of Circuit Theory

Download ELECTRONIC DEVICES & CIRCUITS II B.TECH I SEMESTER and more Slides Circuit Theory in PDF only on Docsity! ELECTRONIC DEVICES & CIRCUITS II B.TECH I SEMESTER (COMMON FOR ECE/EEE/CSE/IT) DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY Autonomous Institution – UGC, Govt. of India (Affiliated to JNTU, Hyderabad, Approved by AICTE - Accredited by NBA & NAAC – ‘A’ Grade - ISO 9001:2008 Certified) Maisammaguda, Dhulapally (Post Via Hakimpet), Secunderabad – 500100 PREPARED BY Dr.S.SRINIVASA RAO, Mr K.MALLIKARJUNA LINGAM, Mr R.CHINNA RAO, Mr E.MAHENDAR REDDY Mr V SHIVA RAJKUMAR, MR KLN PRASAD, MR M ANANTHA GUPTHA, (R15A0401) ELECTRONIC DEVICES AND CIRCUITS OBJECTIVES This is a fundamental course, basic knowledge of which is required by all the circuit branch engineers .this course focuses: 1. To familiarize the student with the principal of operation, analysis and design of junction diode .BJT and FET transistors and amplifier circuits. 2. To understand diode as a rectifier. 3. To study basic principal of filter of circuits and various types UNIT-I P-N Junction diode: Qualitative Theory of P-N Junction, P-N Junction as a diode , diode equation , volt- amper characteristics temperature dependence of V-I characteristic , ideal versus practical –resistance levels( static and dynamic), transition and diffusion capacitances, diode equivalent circuits, load line analysis ,breakdown mechanisms in semiconductor diodes , zener diode characteristics. Special purpose electronic devices: Principal of operation and Characteristics of Tunnel Diode with the help of energy band diagrams, Varactar Diode, SCR and photo diode UNIT-II RECTIFIERS, FILTERS: P-N Junction as a rectifier ,Half wave rectifier, , full wave rectifier, Bridge rectifier , Harmonic components in a rectifier circuit, Inductor filter, Capacitor filter, L- section filter, - section filter and comparison of various filter circuits, Voltage regulation using zener diode. UNIT-III BIPOLAR JUNCTION TRANSISTOR: The Junction transistor, Transistor current components, Transistor as an amplifier, Transistor construction, Input and Output characteristics of transistor in Common Base, Common Emitter, and Common collector configurations. α and β Parameters and the relation between them, BJT Specifications. BJT Hybrid Model, h-parameter representation of a transistor, Analysis of single stage transistor amplifier using h-parameters: voltage gain, current gain, Input impedance and Output impedance. Comparison of transistor configurations in terms of Ai, Ri ,Av,and Ro, UNIT-IV TRANSISTOR BIASING AND STABILISATION: Operating point , the D.C and A.C Load lines, Need for biasing , criteria for fixing, operating point, B.J.T biasing, Fixed bias, Collector to base bias ,Self bias techniques for stabilization, Stabilization factors, (s, sI, sII), Bias Compensation using diode and transistor , (Compensation against variation in VBE, ICO,) Thermal run away, Condition for Thermal stability. UNIT-V FIELD EFFECT TRANSISTOR AND FET AMPLIFIER JFET (Construction, principal of Operation and Volt –Ampere characteristics). Pinch- off voltage-Small signal model of JFET. FET as Voltage variable resistor, Comparison of BJT and FET. MOSFET (Construction, principal of Operation and symbol), MOSFET characteristics in Enhancement and Depletion modes. FET Amplifiers: FET Common source Amplifier, Common Drain Amplifier, Generalized FET Amplifier, FET biasing. TEXT BOOKS: 1. Integrated Electronics Analog Digital Circuits, Jacob Millman and D. Halkias, McGraw Hill. 2. Electronic Devices and Circuits Theory, Boylsted, Prentice Hall Publications. 3. Electronic Devices and Circuits, S.Salivahanan,N.Suresh kumar, McGraw Hill. 4. Electronic Devices and Circuits,Balbir kumar ,shail b.jain, PHI Privated Limted, Delhi. Conductors: A conductor is a material which supports a generous flow of charge when a voltage is applied across its terminals. i.e. it has very high conductivity. Eg: Copper, Aluminum, Silver, Gold. The resistivity of a conductor is in the order of 10-4 and 10-6 Ω-cm. The Valance and conduction bands overlap (fig1.1) and there is no energy gap for the electrons to move from valance band to conduction band. This implies that there are free electrons in CB even at absolute zero temperature (0K). Therefore at room temperature when electric field is applied large current flows through the conductor. Semiconductor: A semiconductor is a material that has its conductivity somewhere between the insulator and conductor. The resistivity level is in the range of 10 and 104 Ω-cm. Two of the most commonly used are Silicon (Si=14 atomic no.) and germanium (Ge=32 atomic no.). Both have 4 valance electrons. The forbidden band gap is in the order of 1eV. For eg., the band gap energy for Si, Ge and GaAs is 1.21, 0.785 and 1.42 eV, respectively at absolute zero temperature (0K). At 0K and at low temperatures, the valance band electrons do not have sufficient energy to move from V to CB. Thus semiconductors act a insulators at 0K. as the temperature increases, a large number of valance electrons acquire sufficient energy to leave the VB, cross the forbidden bandgap and reach CB. These are now free electrons as they can move freely under the influence of electric field. At room temperature there are sufficient electrons in the CB and hence the semiconductor is capable of conducting some current at room temperature. Inversely related to the conductivity of a material is its resistance to the flow of charge or current. Typical resistivity values for various materials’ are given as follows. Insulator Semiconductor Conductor 10-6 Ω-cm (Cu) 50Ω-cm (Ge) 1012 Ω-cm (mica) 50x103 Ω-cm (Si) Typical resistivity values 1.0.1 Semiconductor Types A pure form of semiconductors is called as intrinsic semiconductor. Conduction in intrinsic sc is either due to thermal excitation or crystal defects. Si and Ge are the two most important semiconductors used. Other examples include Gallium arsenide GaAs, Indium Antimonide (InSb) etc. Let us consider the structure of Si. A Si atomic no. is 14 and it has 4 valance electrons. These 4 electrons are shared by four neighboring atoms in the crystal structure by means of covalent bond. Fig. 1.2a shows the crystal structure of Si at absolute zero temperature (0K). Hence a pure SC acts has poor conductivity (due to lack of free electrons) at low or absolute zero temperature. At room temperature some of the covalent bonds break up to thermal energy as shown in fig 1.2b. The valance electrons that jump into conduction band are called as free electrons that are available for conduction. Covalent bond Valence electron Fig. 1.2a crystal structure of Si at 0K Fig. 1.2b crystal structure of Si at room temperature0K Free electron hole Valance electron The absence of electrons in covalent bond is represented by a small circle usually referred to as hole which is of positive charge. Even a hole serves as carrier of electricity in a manner similar to that of free electron. The mechanism by which a hole contributes to conductivity is explained as follows: When a bond is in complete so that a hole exists, it is relatively easy for a valance electron in the neighboring atom to leave its covalent bond to fill this hole. An electron moving from a bond to fill a hole moves in a direction opposite to that of the electron. This hole, in its new position may now be filled by an electron from another covalent bond and the hole will correspondingly move one more step in the direction opposite to the motion of electron. Here we have a mechanism for conduction of electricity which does not involve free electrons. This phenomenon is illustrated in fig1.3 Fig. 1.3a Fig. 1.3b Fig. 1.3c Electron movement Hole movement Thus in P type sc , holes are majority carriers and electrons are minority carriers. Since each trivalent impurity atoms are capable accepting an electron, these are called as acceptor atoms. The following fig 1.5b shows the pictorial representation of P type sc  The conductivity of N type sc is greater than that of P type sc as the mobility of electron is greater than that of hole.  For the same level of doping in N type sc and P type sc, the conductivity of an Ntype sc is around twice that of a P type sc 1.0.3 CONDUCTIVITY OF SEMICONDUCTOR In a pure sc, the no. of holes is equal to the no. of electrons. Thermal agitation continue to produce new electron- hole pairs and the electron hole pairs disappear because of recombination. with each electron hole pair created , two charge carrying particles are formed . One is negative which is a free electron with mobility µn . The other is a positive i.e., hole with mobility µp . The electrons and hole move in opppsitte direction in a an electric field E, but since they are of opposite sign, the current due to each is in the same direction. Hence the total current density J within the intrinsic sc is given by J = Jn + Jp =q n µn E + q p µp E = (n µn + p µp)qE =ς E Where n=no. of electrons / unit volume i.e., concentration of free electrons P= no. of holes / unit volume i.e., concentration of holes E=applied electric field strength, V/m q= charge of electron or hole I n Coulombs Fig. 1.5b crystal structure of P type sc Acceptor atoms Electron (minority carrier) hole (majority carrier) Hence, ς is the conductivity of sc which is equal to (n µn + p µp)q. he resistivity of sc is reciprocal of conductivity. Ρ = 1/ ς It is evident from the above equation that current density with in a sc is directly proportional to applied electric field E. For pure sc, n=p= ni where ni = intrinsic concentration. The value of ni is given by ni 2=AT3 exp (-EGO/KT) therefore, J= ni ( µn + µp) q E Hence conductivity in intrinsic sc is ςi= ni ( µn + µp) q Intrinsic conductivity increases at the rate of 5% per o C for Ge and 7% per o C for Si. Conductivity in extrinsic sc (N Type and P Type): The conductivity of intrinsic sc is given by ςi= ni ( µn + µp) q = (n µn + p µp)q For N type , n>>p Therefore ς= q n µn For P type ,p>>n Therefore ς= q p µp 1.0.4 CHARGE DENSITIES IN P TYPE AND N TYPE SEMICONDUCTOR: Mass Action Law: Under thermal equilibrium for any semiconductor, the product of the no. of holes and the concentration of electrons is constant and is independent of amount of donor and acceptor impurity doping. n.p= ni 2 where n= eleetron concentration p = hole concentration ni 2= intrinsic concentration Hence in N type sc , as the no. of electrons increase the no. of holes decreases. Similarly in P type as the no. of holes increases the no. of electrons decreases. Thus the product is constant and is equal to ni 2 in case of intrinsic as well as extrinsic sc. The law of mass action has given the relationship between free electrons concentration and hole concentration. These concentrations are further related by the law of electrical neutrality as explained below. Law of electrical neutrality: Sc materials are electrically neutral. According to the law of electrical neutrality, in an electrically neutral material, the magnitude of positive charge concentration is equal to tat of negative charge concentration. Let us consider a sc that has ND donor atoms per cubic centimeter and NA acceptor atoms per cubic centimeter i.e., the concentration of donor and acceptor atoms are ND and NA respectively. Therefore ND positively charged ions per cubic centimeter are contributed by donor atoms and NA negatively charged ions per cubic centimeter are contributed by the acceptor atoms. Let n, p is concentration of free electrons and holes respectively. Then according to the law of neutrality ND + p =NA + n …………………………………eq 1.1 For N type sc, NA =0 and n>>p. Therefore ND ≈ n ………………………………….eq 1.2 Hence for N type sc the free electron concentration is approximately equal to the concentration of donor atoms. In later applications since some confusion may arise as to which type of sc is under consideration a the given moment, the subscript n or p is added for Ntype or P type respectively. Hence eq1.2 becomes ND ≈ nn Therefore current density in N type sc is J = ND µn q E And conductivity ς= ND µn q For P type sc, ND = 0 and p>>n. Therefore NA ≈ p Or NA ≈ pp Hence for P type sc the hole concentration is approximately equal to the concentration of acceptor atoms. Therefore current density in N type sc is J = NA µp q E And conductivity ς= NA µp q Mass action law for N type, nn pn= ni 2 pn= ni 2/ ND since (nn≈ ND) Fig 1.7b 1.1.2 FORWARD BIASED JUNCTION DIODE When a diode is connected in a Forward Bias condition, a negative voltage is applied to the N- type material and a positive voltage is applied to the P-type material. If this external voltage becomes greater than the value of the potential barrier, approx. 0.7 volts for silicon and 0.3 volts for germanium, the potential barriers opposition will be overcome and current will start to flow. This is because the negative voltage pushes or repels electrons towards the junction giving them the energy to cross over and combine with the holes being pushed in the opposite direction towards the junction by the positive voltage. This results in a characteristics curve of zero current flowing up to this voltage point, called the "knee" on the static curves and then a high current flow through the diode with little increase in the external voltage as shown below. Forward Characteristics Curve for a Junction Diode Fig 1.8a: Diode Forward Characteristics The application of a forward biasing voltage on the junction diode results in the depletion layer becoming very thin and narrow which represents a low impedance path through the junction thereby allowing high currents to flow. The point at which this sudden increase in current takes place is represented on the static I-V characteristics curve above as the "knee" point. Forward Biased Junction Diode showing a Reduction in the Depletion Layer Fig 1.8b: Diode Forward Bias This condition represents the low resistance path through the PN junction allowing very large currents to flow through the diode with only a small increase in bias voltage. The actual potential difference across the junction or diode is kept constant by the action of the depletion layer at approximately 0.3v for germanium and approximately 0.7v for silicon junction diodes. Since the diode can conduct "infinite" current above this knee point as it effectively becomes a short circuit, therefore resistors are used in series with the diode to limit its current flow. Exceeding its maximum forward current specification causes the device to dissipate more power in the form of heat than it was designed for resulting in a very quick failure of the device. 1.1.2 PN JUNCTION UNDER REVERSE BIAS CONDITION: Reverse Biased Junction Diode When a diode is connected in a Reverse Bias condition, a positive voltage is applied to the N-type material and a negative voltage is applied to the P-type material. The positive voltage applied to the N- type material attracts electrons towards the positive electrode and away from the junction, while the holes in the P-type end are also attracted away from the junction towards the negative electrode. The net result is that the depletion layer grows wider due to a lack of electrons and holes and presents a high impedance path, almost an insulator. The result is that a high potential barrier is created thus preventing current from flowing through the semiconductor material. Reverse Biased Junction Diode showing an Increase in the Depletion Fig 1.9a: Diode Reverse Bias This condition represents a high resistance value to the PN junction and practically zero current flows through the junction diode with an increase in bias voltage. However, a very small leakage current does flow through the junction which can be measured in microamperes, (μA). One final point, if the reverse bias voltage Vr applied to the diode is increased to a sufficiently high enough value, it will It is not uncommon for a germanium diode with an Io in the order of 1 or 2 A at 25°C to have a leakage current of 100 A - 0.1 mA at a temperature of 100°C. Typical values of Io for silicon are much lower than that of germanium for similar power and current levels. The result is that even at high temperatures the levels of Io for silicon diodes do not reach the same high levels obtained. For germanium—a very important reason that silicon devices enjoy a significantly higher level of development and utilization in design. Fundamentally, the open-circuit equivalent in the reverse bias region is better realized at any temperature with silicon than with germanium. The increasing levels of Io with temperature account for the lower levels of threshold voltage, as shown in Fig. 1.11. Simply increase the level of Io in and not rise in diode current. Of course, the level of TK also will be increase, but the increasing level of Io will overpower the smaller percent change in TK. As the temperature increases the forward characteristics are actually becoming more “ideal,” 1.3 IDEAL VERSUS PRACTICAL RESISTANCE LEVELS DC or Static Resistance The application of a dc voltage to a circuit containing a semiconductor diode will result in an operating point on the characteristic curve that will not change with time. The resistance of the diode at the operating point can be found simply by finding the corresponding levels of VD and ID as shown in Fig. 1.12 and applying the following Equation: The dc resistance levels at the knee and below will be greater than the resistance levels obtained for the vertical rise section of the characteristics. The resistance levels in the reverse-bias region will naturally be quite high. Since ohmmeters typically employ a relatively constant-current source, the resistance determined will be at a preset current level (typically, a few mill amperes). Fig 1.12 Determining the dc resistance of a diode at a particular operating point. AC or Dynamic Resistance It is obvious from Eq. 1.3 that the dc resistance of a diode is independent of the shape of the characteristic in the region surrounding the point of interest. If a sinusoidal rather than dc input is applied, the situation will change completely. The varying input will move the instantaneous operating point up and down a region of the characteristics and thus defines a specific change in current and voltage as shown in Fig. 1.13. With no applied varying signal, the point of operation would be the Q- point appearing on Fig. 1.13 determined by the applied dc levels. The designation Q-point is derived from the word quiescent, which means “still or unvarying.” A straight-line drawn tangent to the curve through the Q-point as shown in Fig. 1.13 will define a particular change in voltage and current that can be used to determine the ac or dynamic resistance for this region of the diode characteristics. In equation form, Where Δ Signifies a finite change in the quantity Fig 1.13: Determining the ac resistance of a diode at a particular operating point. 1.4 DIODE EQUIVALENT CIRCUITS An equivalent circuit is a combination of elements properly chosen to best represent the actual terminal characteristics of a device, system, or such in a particular operating region. In other words, once the equivalent circuit is defined, the device symbol can be removed from a schematic and the equivalent circuit inserted in its place without severely affecting the actual behavior of the system. The result is often a network that can be solved using traditional circuit analysis techniques. Piecewise-Linear Equivalent Circuit One technique for obtaining an equivalent circuit for a diode is to approximate the characteristics of the device by straight-line segments, as shown in Fig. 1.31. The resulting equivalent circuit is naturally called the piecewise-linear equivalent circuit. It should be obvious from Fig. 1.31 that the straight-line segments do not result in an exact duplication of the actual characteristics, especially in the knee region. However, the resulting segments are sufficiently close to the actual curve to establish an equivalent circuit that will provide an excellent first approximation to the actual behaviour of the device. The ideal diode is included to establish that there is only one direction of conduction through the device, and a reverse-bias condition will result in the open- circuit state for the device. Since a silicon semiconductor, diode does not reach the conduction state until VD reaches 0.7 V with a forward bias (as shown in Fig. 1.14a), a battery VT opposing the conduction direction must appear in the equivalent circuit as shown in Fig. 1.14b. The battery simply specifies that the voltage across the device must be greater than the threshold battery voltage before conduction through the device in the direction dictated by the ideal diode can be established. When conduction is established, the resistance of the diode will be the specified value of rav. Fig: 1.14aDiode piecewise-linear model characteristics where CT - transition capacitance A - diode cross sectional area W - depletion region width In forward bias, the diffusion capacitance is the dominant and is given by: where CD - diffusion capacitance dQ - change in charge stored in depletion region V - change in applied voltage - time interval for change in voltage g - diode conductance r - diode resistance The diffusion capacitance at low frequencies is given by the formula: The diffusion capacitance at high frequencies is inversely proportional to the frequency and is given by the formula: Note: The variation of diffusion capacitance with applied voltage is used in the design of varactor. 1.6 BREAK DOWN MECHANISMS When an ordinary P-N junction diode is reverse biased, normally only very small reverse saturation current flows. This current is due to movement of minority carriers. It is almost independent of the voltage applied. However, if the reverse bias is increased, a point is reached when the junction breaks down and the reverse current increases abruptly. This current could be large enough to destroy the junction. If the reverse current is limited by means of a suitable series resistor, the power dissipation at the junction will not be excessive, and the device may be operated continuously in its breakdown region to its normal (reverse saturation) level. It is found that for a suitably designed diode, the breakdown voltage is very stable over a wide range of reverse currents. This quality gives the breakdown diode many useful applications as a voltage reference source. The critical value of the voltage, at which the breakdown of a P-N junction diode occurs, is called the breakdown voltage. The breakdown voltage depends on the width of the depletion region, which, in turn, depends on the doping level. The junction offers almost zero resistance at the breakdown point. There are two mechanisms by which breakdown can occur at a reverse biased P-N junction: 1. avalanche breakdown and 2. Zener breakdown. Avalanche breakdown The minority carriers, under reverse biased conditions, flowing through the junction acquire a kinetic energy which increases with the increase in reverse voltage. At a sufficiently high reverse voltage (say 5 V or more), the kinetic energy of minority carriers becomes so large that they knock out electrons from the covalent bonds of the semiconductor material. As a result of collision, the liberated electrons in turn liberate more electrons and the current becomes very large leading to the breakdown of the crystal structure itself. This phenomenon is called the avalanche breakdown. The breakdown region is the knee of the characteristic curve. Now the current is not controlled by the junction voltage but rather by the external circuit. Zener breakdown Under a very high reverse voltage, the depletion region expands and the potential barrier increases leading to a very high electric field across the junction. The electric field will break some of the covalent bonds of the semiconductor atoms leading to a large number of free minority carriers, which suddenly increase the reverse current. This is called the Zener effect. The breakdown occurs at a particular and constant value of reverse voltage called the breakdown voltage, it is found that Zener breakdown occurs at electric field intensity of about 3 x 107 V/m. Fig 1.18: Diode characteristics with breakdown Either of the two (Zener breakdown or avalanche breakdown) may occur independently, or both of these may occur simultaneously. Diode junctions that breakdown below 5 V are caused by Zener effect. Junctions that experience breakdown above 5 V are caused by avalanche effect. Junctions that breakdown around 5 V are usually caused by combination of two effects. The Zener breakdown occurs in heavily doped junctions (P-type semiconductor moderately doped and N-type heavily doped), which produce narrow depletion layers. The avalanche breakdown occurs in lightly doped junctions, which produce wide depletion layers. With the increase in junction temperature Zener breakdown voltage is reduced while the avalanche breakdown voltage increases. The Zener diodes have a negative temperature coefficient while avalanche diodes have a positive temperature coefficient. Diodes that have breakdown voltages around 5 V have zero temperature coefficient. The breakdown phenomenon is reversible and harmless so long as the safe operating temperature is maintained. 1.7 ZENER DIODES The Zener diode is like a general-purpose signal diode consisting of a silicon PN junction. When biased in the forward direction it behaves just like a normal signal diode passing the rated current, but as soon as a reverse voltage applied across the zener diode exceeds the rated voltage of the device, the diodes breakdown voltage VB is reached at which point a process called Avalanche Breakdown occurs in the semiconductor depletion layer and a current starts to flow through the diode to limit this increase in voltage. The current now flowing through the zener diode increases dramatically to the maximum circuit value (which is usually limited by a series resistor) and once achieved this reverse saturation current remains fairly constant over a wide range of applied voltages. This breakdown voltage point, VB is called the "zener voltage" for zener diodes and can range from less than one volt to hundreds of volts. side become aligned with empty valence band hole states on the p-side of the p-n junction. As voltage increases further these states become more misaligned and the current drops – this is called negative resistance because current decreases with increasing voltage. As voltage increases yet further, the diode begins to operate as a normal diode, where electrons travel by conduction across the p–n junction, and no longer by tunneling through the p–n junction barrier. Thus the most important operating region for a tunnel diode is the negative resistance region. Reverse bias operation When used in the reverse direction they are called back diodes and can act as fast rectifiers with zero offset voltage and extreme linearity for power signals (they have an accurate square law characteristic in the reverse direction). Under reverse bias filled states on the p-side become increasingly aligned with empty states on the n- side and electrons now tunnel through the pn junction barrier in reverse direction – this is the Zener effect that also occurs in zener diodes. Technical comparisons Fig 1.20a: current-voltage characteristic of tunnel diode A rough approximation of the VI curve for a tunnel diode, showing the negative differential resistance region. The Japanese physicist Leo Esaki invented the tunnel diode in 1958.It consists of a p-n junction with highly doped regions. Because of the thinness of the junction, the electrons can pass through the potential barrier of the dam layer at a suitable polarization, reaching the energy states on the other sides of the junction. The current-voltage characteristic of the diode is represented in Figure 1.20a. In this sketch i p and Up are the peak, and iv and Uv are the valley values for the current and voltage respectively. The form of this dependence can be qualitatively explained by considering the tunneling processes that take place in a thin p-n junction. Energy band structure of tunnel diode: Fig 1.20b Energy band structure of tunnel diode For the degenerated semiconductors, the energy band diagram at thermal equilibrium is presented in Figure 1.20b. In Figure 1.20c the tunneling processes in different points of the current voltage characteristic for the tunnel diode are presented. Advantages of tunnel diodes:  Environmental immunity i.e. peak point is not a function of temperature.  Low cost.  Low noise.  Low power consumption.  High speed i.e. tunneling takes place very fast at the speed of light in the order of nanoseconds  Simplicity i.e. a tunnel diode can be used along with a d.c supply and a few passive elements to obtain various application circuits. Applications for tunnel diodes:  local oscillators for UHF television tuners  Trigger circuits in oscilloscopes  High speed counter circuits and very fast-rise time pulse generator circuits  The tunnel diode can also be used as low-noise microwave amplifier. 1.9 VARACTOR DIODE Varactor diode is a special type of diode which uses transition capacitance property i.e voltage variable capacitance .These are also called as varicap,VVC(voltage variable capacitance) or tuning diodes. The varactor diode symbol is shown below with a diagram representation. Fig 1.21a:symbol of varactor diode When a reverse voltage is applied to a PN junction, the holes in the p-region are attracted to the anode terminal and electrons in the n-region are attracted to the cathode terminal creating a region where there is little current. This region ,the depletion region, is essentially devoid of carriers and behaves as the dielectric of a capacitor. The depletion region increases as reverse voltage across it increases; and since capacitance varies inversely as dielectric thickness, the junction capacitance will decrease as the voltage across the PN junction increases. So by varying the reverse voltage across a PN junction the junction capacitance can be varied .This is shown in the typical varactor voltage-capacitance curve below. SCR Working Principle Fig 1.24: Current flow and voltage bias in an SCR The SCR is a four-layer, three-junction and a three-terminal device and is shown in fig.1.24. The end P- region is the anode, the end N-region is the cathode and the inner P-region is the gate. The anode to cathode is connected in series with the load circuit. Essentially the device is a switch. Ideally it remains off (voltage blocking state), or appears to have an infinite impedance until both the anode and gate terminals have suitable positive voltages with respect to the cathode terminal. The thyristor then switches on and current flows and continues to conduct without further gate signals. Ideally the thyristor has zero impedance in conduction state. For switching off or reverting to the blocking state, there must be no gate signal and the anode current must be reduced to zero. Current can flow only in one direction. In absence of external bias voltages, the majority carrier in each layer diffuses until there is a built-in voltage that retards further diffusion. Some majority carriers have enough energy to cross the barrier caused by the retarding electric field at each junction. These carriers then become minority carriers and can recombine with majority carriers. Minority carriers in each layer can be accelerated across each junction by the fixed field, but because of absence of external circuit in this case the sum of majority and minority carrier currents must be zero. A voltage bias, as shown in figure, and an external circuit to carry current allow internal currents which include the following terms: The current Ix is due to  Majority carriers (holes) crossing junction J1  Minority carriers crossing junction J1  Holes injected at junction J2 diffusing through the N-region and crossing junction J1 and  Minority carriers from junction J2 diffusing through the N-region and crossing junction J1. V I characteristics of SCR: Fig 1.25: V-I characteristics of SCR As already mentioned, the SCR is a four-layer device with three terminals, namely, the anode, the cathode and the gate. When the anode is made positive with respect to the cathode, junctions J1 and J3 are forward biased and junction J2 is reverse-biased and only the leakage current will flow through the device. The SCR is then said to be in the forward blocking state or in the forward mode or off state. But when the cathode is made positive with respect to the anode, junctions J1 and J3 are reverse-biased, a small reverse leakage current will flow through the SCR and the SGR is said to be in the reverse blocking state or in reverse mode. When the anode is positive with respect to cathode i.e. when the SCR is in forward mode, the SCR does not conduct unless the forward voltage exceeds certain value, called the forward breakover voltage, VFB0. In non-conducting state, the current through the SCR is the leakage current which is very small and is negligible. If a positive gate current is supplied, the SCR can become conducting at a voltage much lesser than forward break-over voltage. The larger the gate current, lower the break-over voltage. With sufficiently large gate current, the SCR behaves identical to PN rectifier. Once the SCR is switched on, the forward voltage drop across it is suddenly reduced to very small value, say about 1 volt. In the conducting or on-state, the current through the SCR is limited by the external impedance. When the anode is negative with respect to cathode, that is when the SCR is in reverse mode or in blocking state no current flows through the SCR except very small leakage current of the order of few micro-amperes. But if the reverse voltage is increased beyond a certain value, called the reverse break- over voltage, VRB0 avalanche break down takes place. Forward break-over voltage VFB0 is usually higher than reverse breakover voltage,VRBO. From the foregoing discussion, it can be seen that the SCR has two stable and reversible operating states. The change over from off-state to on-state, called turn-on, can be achieved by increasing the forward voltage beyond VFB0. A more convenient and useful method of turn-on the device employs the gate drive. If the forward voltage is less than the forward break-over voltage, VFB0, it can be turned-on by applying a positive voltage between the gate and the cathode. This method is called the gate control. Another very important feature of the gate is that once the SCR is triggered to on-state the gate loses its control. The switching action of gate takes place only when (i) SCR is forward biased i.e. anode is positive with respect to cathode, and (ii) Suitable positive voltage is applied between the gate and the cathode. Once the SCR has been switched on, it has no control on the amount of current flowing through it. The current through the SCR is entirely controlled by the external impedance connected in the circuit and the applied voltage. There is, however, a very small, about 1 V, potential drop across the SCR. The forward current through the SCR can be reduced by reducing the applied voltage or by increasing the circuit impedance. There is, however, a minimum forward current that must be maintained to keep the SCR in conducting state. This is called the holding current rating of SCR. If the current through the SCR is reduced below the level of holding current, the device returns to off-state or blocking state. The SCR can be switched off by reducing the forward current below the level of holding current which may be done either by reducing the applied voltage or by increasing the circuit impedance. Note : The gate can only trigger or switch-on the SCR, it cannot switch off. Alternatively the SCR can be switched off by applying negative voltage to the anode (reverse mode), the SCR naturally will be switched off. Here one point is worth mentioning, the SCR takes certain time to switch off. The time, called the turn- off time, must be allowed before forward voltage may be applied again otherwise the device will switch-on with forward voltage without any gate pulse. The turn-off time is about 15 micro-seconds, which is immaterial when dealing with power frequency, but this becomes important in the inverter circuits, which are to operate at high frequency. Fig 1.28: characteristics of photodiode On removal of reverse bias applied across the photodiode, minority charge carriers continue to be swept across the junction while the diode is illuminated. This has the effect of increasing the concentration of holes in the P-side and that of electrons in the N-side But the barrier potential is negative on the P-side and positive on the N-side, and was created by holes flowing from P to N-side and electrons from N to P-side during fabrication of junction. Thus the flow of minority carriers tends to reduce the barrier potential. When an external circuit is connected across the diode terminals, the minority carrier; return to the original side via the external circuit. The electrons which crossed the junction from P to N-side now flow out through the N-terminal and into the P-terminal This means that the device is behaving as a voltage cell with the N-side being the negative terminal and the P-side the positive terminal. Thus, the photodiode is & photovoltaic device as well as photoconductive device. Advantages: The advantages of photodiode are: 1.It can be used as variable resistance device. 2.Highly sensitive to the light. 3.The speed of operation is very high. Disadvantages: 1.Temperature dependent dark current. 2.poor temperature stability. 3.Current needs amplification for driving other circuits. Applications: 1.Alarm system. 2.counting system. UNIT II RECTIFIERS & FILTERS 2.0 INTRODUCTION For the operation of most of the electronics devices and circuits, a d.c. source is required. So it is advantageous to convert domestic a.c. supply into d.c.voltages. The process of converting a.c. voltage into d.c. voltage is called as rectification. This is achieved with i) Step-down Transformer, ii) Rectifier, iii) Filter and iv) Voltage regulator circuits. These elements constitute d.c. regulated power supply shown in the fig 1 below. Fig 2.1: Block Diagram of regulated D.C Power Supply  Transformer – steps down 230V AC mains to low voltage AC.  Rectifier – converts AC to DC, but the DC output is varying.  Smoothing – smooth the DC from varying greatly to a small ripple.  Regulator – eliminates ripple by setting DC output to a fixed voltage. The block diagram of a regulated D.C. power supply consists of step-down transformer, rectifier, filter, voltage regulator and load. An ideal regulated power supply is an electronics circuit designed to provide a predetermined d.c. voltage Vo which is independent of the load current and variations in the input voltage ad temperature. If the output of a regulator circuit is a AC voltage then it is termed as voltage stabilizer, whereas if the output is a DC voltage then it is termed as voltage regulator. 2.1 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 rectifier. Such a device is capable of converting a sinusoidal input waveform, whose average value is zero, into a unidirectional Waveform, with a non- zero average component. A rectifier is a device, which converts a.c. voltage (bi-directional) to pulsating d.c. voltage (Unidirectional). Characteristics of a Rectifier Circuit: 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 rectifier. Such a device is capable of converting a sinusoidal input waveform, whose average value is zero, into a unidirectional waveform, with a non- zero average component. A rectifier is a device, which converts a.c. voltage (bi-directional) to pulsating d.c..Load currents: They are two types of output current. They are average or d.c. current and RMS currents. Average or DC current: The average current of a periodic function is defined as the area of one cycle of the curve divided by the base. It is expressed mathematically as i) Average value/dc value/mean value= periodtimeTotal periodoneover Area ii) Effective (or) R.M.S current: The effective (or) R.M.S. current squared ofa 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. iii) Peak factor: It is the ratio of peak value to Rms value  T rms wtdV T V 0 2 )( 1 Peak factor = rmsvalue peakvalue )( 1 0 wtdV T V T dc  V=Vm sin (wt) The input to the rectifier circuit, Where Vm is the peak value of secondary a.c. voltage. Operation: For the positive half-cycle of input a.c. voltage, the diode D is forward biased and hence it conducts. Now a current flows in the circuit and there is a voltage drop across RL. The waveform of the diode current (or) load current is shown in fig 3. For the negative half-cycle of input, the diode D is reverse biased and hence it does not Conduct. Now no current flows in the circuit i.e., i=0 and Vo=0. Thus for the negative half- cycle no power is delivered to the load. Analysis: In the analysis of a HWR, the following parameters are to be analyzed. 1. DC output current 2. DC Output voltage 3. R.M.S. Current 4. R.M.S. voltage 5. Rectifier Efficiency (η ) 6. Ripple factor (γ ) 7. Peak Factor 8. % Regulation 9. Transformer Utilization Factor (TUF) 10. form factor 11. o/p frequency Let a sinusoidal voltage Vi be applied to the input of the rectifier. Then V=Vm sin (wt) Where Vm is the maximum value of the secondary voltage. Let the diode be idealized to piece-wise linear approximation with resistance Rf in the forward direction i.e., in the ON state and Rr (=∞) in the reverse direction i.e., in the OFF state. Now the current ‘i’ in the diode (or) in the load resistance RL is given by V=Vm sin (wt) i) AVERAGE VOLTAGE              m dc mdc dc dc V V wtVV dVV dV T V 0 2 2 0 )sin( 2 1 )( 2 1 )( 1   ii).AVERAGE CURRENT:   m dc I I )( 1 0 wtdV T V T dc  iii) RMS VOLTAGE:  T rms wtdV T V 0 2 )( 1     2 0 2 )())(( 2 1 wtdwtsimVV mrms 2 m rms V V  IV) RMS CURRENT V) PEAK FACTOR Peak factor = rmsvalue peakvalue Peak Factor = )2/( m m V V Peak Factor =2 vi) FORM FACTOR Form factor= ueaverageval Rmsvalue Form factor= / )2/( m m V V Form Factor =1.57   m rms I I Fig. 5 shows the input and output wave forms of the ckt. During positive half of the input signal, anode of diode D1 becomes positive and at the same time the anode of diode D2 becomes negative. Hence D1 conducts and D2 does not conduct. The load current flows through D1 and the voltage drop across RL will be equal to the input voltage. During the negative half cycle of the input, the anode of D1 becomes negative and the anode of D2 becomes positive. Hence, D1 does not conduct and D2 conducts. The load current flows through D2 and the voltage drop across RL will be equal to the input voltage. It is noted that the load current flows in the both the half cycles of ac voltage and in the same direction through the load resistance. i) AVERAGEVOLTAGE ii) AVERAGE CURRENT iii) RMS VOLTAGE:  T rms wtdV T V 0 2 )( 1     2 0 2 )())(( 2 1 wtdwtsimVV mrms IV) RMS CURRENT V) PEAK FACTOR Peak factor = rmsvalue peakvalue   m rms I I 2 Peak Factor = )2/( m m V V Peak Factor =2 vi) FORM FACTOR Form factor= valueaverage valueRms Form factor= /2 )2/( m m V V Form Factor =1.11 vii) Ripple Factor: viii) Efficiency ( ): ppoweri ppowero / /  *100 The four diodes labelled D1 to D4 are arranged in "series pairs" with only two diodes conducting current during each half cycle. During the positive half cycle of the supply, diodes D1 and D2 conduct in series while diodes D3 and D4 are reverse biased and the current flows through the load as shown below (fig 7). The Positive Half-cycle The Negative Half-cycle During the negative half cycle of the supply, diodes D3 and D4 conduct in series (fig 8), but diodes D1 and D2 switch "OFF" as they are now reverse biased. The current flowing through the load is the same direction as before. As the current flowing through the load is unidirectional, so the voltage developed across the load is also unidirectional the same as for the previous two diode full-wave rectifier, therefore the average DC voltage across the load is 0.637Vmax. However in reality, during each half cycle the current flows through two diodes instead of just one so the amplitude of the output voltage is two voltage drops ( 2 x 0.7 = 1.4V ) less than the input VMAX amplitude. The ripple frequency is now twice the supply frequency (e.g. 100Hz for a 50Hz supply) 2.3 FILTERS The output of a rectifier contains dc component as well as ac component. Filters are used to minimize the undesirable ac i.e., ripple leaving only the dc component to appear at the output. Some important filters are: 1. Inductor filter 2. Capacitor filter 3. LC or L section filter 4. CLC or Π-type filter 2.3.1 CAPACITOR FILTER This is the most simple form of the filter circuit and in this arrangement a high value capacitor C is placed directly across the output terminals, as shown in figure. During the conduction period it gets charged and stores up energy to it during non-conduction period. Through this process, the time duration during which Ft is to be noted here that the capacitor C gets charged to the peak because there is no resistance (except the negligible forward resistance of diode) in the charging path. But the discharging time is quite large (roughly 100 times more than the charging time depending upon the value of RL) because it discharges through load resistance RL. The function of the capacitor filter may be viewed in terms of impedances. The large value capacitor C offers a low impedance shunt path to the ac components or ripples but offers high impedance to the dc component. Thus ripples get bypassed through capacitor C and only dc component flows through the load resistance RL Capacitor filter is very popular because of its low cost, small size, light weight and good characteristics. Ripple factor r= I WiKR, Ripple freq pvr = 2 ripple freq pwr.  The worthnoting points about shunt capacitor filter are: 1.For a fixed-value filter capacitance larger the load resistance RL larger will be the discharge time constant CRL and therefore, lower the ripples and more the output voltage. On the other hand lower the load resistance (or more the load current), lower will be the output voltage. 2.Similarly smaller the filter capacitor, the less charge it can hold and more it will discharge. Thus the peak-to-peak value of the ripple will increase, and the average dc level will decrease. Larger the filter capacitor, the more charge it can hold and the less it will discharge. Hence the peak-to-peak value of the ripple will be less, and the average dc level will increase. But, the maximum value of the capacitance that can be employed is limited by another factor. The larger the capacitance value, the greater is the current required to charge the capacitor to a given voltage. The maximum current that can be handled by a diode is limited by the figure quoted by the manufacturer. Thus the maximum value of the capacitance, that can be used in the shunt filter capacitor is limited. 2.3.2 Series Inductor Filter. In this arrangement a high value inductor or choke L is connected in series with the rectifier element and the load, as illustrated in figure. The filtering action of an inductor filter depends upon its property of opposing any change in the current flowing through it. When the output current of the rectifier increases above a certain value, energy is stored in it in the form of magnetic field and this energy is given up when the output current falls below the average value. Thus by placing a choke coil in series with the rectifier output and load, any sudden change in current that might have occurred in the circuit without an inductor is smoothed out by the presence of the inductor L. The function of the inductor filter may be viewed in terms of impedances. The choke offers high impedance to the ac components but offers almost zero resistance to the desired dc components. Thus ripples are removed to a large extent. Nature of the output voltage without filter and with choke filter is shown in figure. For dc (zero frequency), the choke resistance Rc in series with the load resistance RL forms a voltage divider and dc voltage across the load is given as where Vdc is dc voltage output from a full-wave rectifier. Usually choke coil resistance Rc, is much small than RL and, therefore, almost entire of the dc voltage is available across the load resistance RL. Since the reactance of inductor increases with the increase in frequency, better filtering of the higher harmonic components takes place, so effect of third and higher harmonic voltages can be neglected. As obvious from equation , if choke coil resistance Rc is negligible in comparison to load resistance RL, then the entire dc component of rectifier output is available across 2 RL and is equal to — VL max. The ac voltage partly drops across XL and partly over RL. 2.3.3 L-SECTION FILTER: A simple series inductor reduces both the peakand effective values of the output current and output voltage. On the other hand a simple shunt capacitor filter reduces the ripple voltage but increases the diode current. The diode may get damaged due to large current and at the same time it causes greater heating of supply transformer resulting in reduced efficiency. In an inductor filter, ripple factor increases with the increase in load resistance RL while in a capacitor filter it varies inversely with load resistance RL. From economical point of view also, neither series inductor nor shunt capacitor type filters are suitable. Practical filter-circuits are derived by combining the voltage stabilizing action of shunt capacitor with the current smoothing action of series choke coil. By using combination of inductor and capacitor ripple factor can be lowered, diode current can be restricted and simultaneously ripple factor can be made almost independent of load resistance (or load current). Two types of most commonly used combinations are choke-input or L-section filter-and capacitor-input or Pi-Filter. The action of this filter can best be understood by considering the action of L-section filter, formed by L and C2, upon the triangular output voltage wave from the input capacitor C1 The charging and discharging action of input capacitor C1 has already been discussed. The output voltage is roughly the same as across input capacitor C1 less the dc voltage drop in inductor. The ripples contained in this output are reduced further by L-section filter. The output voltage of pi-filter falls off rapidly with the increase in load-current and, therefore, the voltage regulation with this filter is very poor. SALIENT FEATURES OF L-SECTION AND PI-FILTERS. 1. In pi-filter the dc output voltage is much larger than that can be had from an L-section filter with the same input voltage. 2.In pi-filter ripples are less in comparison to those in shunt capacitor or L-section filter. So smaller valued choke is required in a pi-filter in comparison to that required in L-section filter. 3.In pi-filter, the capacitor is to be charged to the peak value hence the rms current in supply transformer is larger as compared in case of L-section filter. 4.Voltage regulation in case of pi-filter is very poor, as already mentioned. So n-filters are suitable for fixed loads whereas L-section filters can work satisfactorily with varying loads provided a minimum current is maintained. 5.In case of a pi-filter PIV is larger than that in case of an L-section filter. COMPARISON OF FILTERS 1) A capacitor filter provides Vm volts at less load current. But regulation is poor. 2) An Inductor filter gives high ripple voltage for low load currents. It is used for high load currents 3) L – Section filter gives a ripple factor independent of load current. Voltage Regulation can be improved by use of bleeder resistance 4) Multiple L – Section filter or π filters give much less ripple than the single L – Section Filter. UNIT III BIPOLAR JUNCTION TRANSISTOR 3.1 INTRODUCTION A bipolar junction transistor (BJT) is a three terminal device in which operation depends on the interaction of both majority and minority carriers and hence the name bipolar. The BJT is analogues to vacuum triode and is comparatively smaller in size. It is used as amplifier and oscillator circuits, and as a switch in digital circuits. It has wide applications in computers, satellites and other modern communication systems. 3.2 CONSTRUCTION OF BJT AND ITS SYMBOLS The Bipolar Transistor basic construction consists of two PN-junctions producing three connecting terminals with each terminal being given a name to identify it from the other two. These three terminals are known and labelled as the Emitter ( E ), the Base ( B ) and the Collector ( C ) respectively. There are two basic types of bipolar transistor construction, PNP and NPN, which basically describes the physical arrangement of the P-type and N-type semiconductor materials from which they are made. Transistors are three terminal active devices made from different semiconductor materials that can act as either an insulator or a conductor by the application of a small signal voltage. The transistor's ability to change between these two states enables it to have two basic functions: "switching" (digital electronics) or "amplification" (analogue electronics). Then bipolar transistors have the ability to operate within three different regions:  1. Active Region - the transistor operates as an amplifier and Ic = β.Ib  2. Saturation - the transistor is "fully-ON" operating as a switch and Ic = I(saturation)  3. Cut-off - the transistor is "fully-OFF" operating as a switch and Ic = 0 Bipolar Transistors are current regulating devices that control the amount of current flowing through them in proportion to the amount of biasing voltage applied to their base terminal acting like a current-controlled switch. The principle of operation of the two transistor types PNP and NPN, is exactly the same the only difference being in their biasing and the polarity of the power supply for each type(fig 1). Bipolar Transistor Construction Fig 3.1 Bipolar Junction Transistor Symbol The construction and circuit symbols for both the PNP and NPN bipolar transistor are given above with the arrow in the circuit symbol always showing the direction of "conventional current flow" between the base terminal and its emitter terminal. The direction of the arrow always points from the positive P-type region to the negative N-type region for both transistor types, exactly the same as for the standard diode symbol. 3.3c Both biasing potentials have been applied to a pnp transistor and resulting majority and minority carrier flows indicated. Majority carriers (+) will diffuse across the forward-biased p-n junction into the n-type material. A very small number of carriers (+) will through n-type material to the base terminal. Resulting IB is typically in order of microamperes. The large number of majority carriers will diffuse across the reverse-biased junction into the p-type material connected to the collector terminal Applying KCL to the transistor : IE = IC + IB The comprises of two components – the majority and minority carriers IC = ICmajority + ICOminority ICO – IC current with emitter terminal open and is called leakage current Various parameters which relate the current components is given below Emitter efficiency: ercurrenttotalemitt riersatJnjectedcarcurrentofi E nE pE nEpE PE I I II I    Transport Factor: nE pC E C I I entatJrrierncurrinjectedca Jntreachingrriercurreinjectedca   * *   Large signal current gain: The ratio of the negative of collector current increment to the emitter current change from zero (cut- off)to IE the large signal current gain of a common base transistor. E COC I II )(   Since IC and IE have opposite signs, then α, as defined, is always positive. Typically numerical values of α lies in the range of 0.90 to 0.995 E pE nE pC E pC I I I I I I *  * The transistor alpha is the product of the transport factor and the emitter efficiency. This statement assumes that the collector multiplication ratio * is unity. * is the ratio of total current crossing JC to hole arriving at the junction. 3.4 Bipolar Transistor Configurations As the Bipolar Transistor is a three terminal device, there are basically three possible ways to connect it within an electronic circuit with one terminal being common to both the input and output. Each method of connection responding differently to its input signal within a circuit as the static characteristics of the transistor vary with each circuit arrangement.  1. Common Base Configuration - has Voltage Gain but no Current Gain.  2 Common Emitter Configuration - has both Current and Voltage Gain.  3. Common Collector Configuration - has Current Gain but no Voltage Gain. 3.5 COMMON-BASE CONFIGURATION Common-base terminology is derived from the fact that the : base is common to both input and output of t configuration. base is usually the terminal closest to or at ground potential. Majority carriers can cross the reverse-biased junction because the injected majority carriers will appear as minority carriers in the n-type material. All current directions will refer to conventional (hole) flow and the arrows in all electronic symbols have a direction defined by this convention. Note that the applied biasing (voltage sources) are such as to establish current in the direction indicated for each branch. Fig 3.4 CB Configuration To describe the behavior of common-base amplifiers requires two set of characteristics: 1. Input or driving point characteristics. 2. Output or collector characteristics The output characteristics has 3 basic regions:  Active region –defined by the biasing arrangements  Cutoff region – region where the collector current is 0A 3.6 TRANSISTOR AS AN AMPLIFIER Fig 3.7 Basic Transistor Amplifier Circuit Common-Emitter Configuration It is called common-emitter configuration since : emitter is common or reference to both input and output terminals.emitter is usually the terminal closest to or at ground potential. Almost amplifier design is using connection of CE due to the high gain for current and voltage. Two set of characteristics are necessary to describe the behavior for CE ;input (base terminal) and output (collector terminal) parameters. Proper Biasing common-emitter configuration in active region Fig 3.8 CE Configuration IB is microamperes compared to miliamperes of IC. IB will flow when VBE > 0.7V for silicon and 0.3V for germanium Before this value IB is very small and no IB. Base-emitter junction is forward bias Increasing VCE will reduce IB for different values. Fig 3.9a Input characteristics for common-emitter npn transistor Fig 3.9b Output characteristics for common-emitter npn transistor For small VCE (VCE < VCESAT, IC increase linearly with increasing of VCE VCE > VCESAT IC not totally depends on VCE  constant IC IB(uA) is very small compare to IC (mA). Small increase in IB cause big increase in IC IB=0 A  ICEO occur. Noticing the value when IC=0A. There is still some value of current flows. Beta () or amplification factor The ratio of dc collector current (IC) to the dc base current (IB) is dc beta (dc ) which is dc current gain where IC and IB are determined at a particular operating point, Q-point (quiescent point). It’s define by the following equation: 30 < dc < 300  2N3904 On data sheet, dc=hfe with h is derived from ac hybrid equivalent cct. FE are derived from forward- current amplification and common-emitter configuration respectively. similar with common-emitter. configuration.Common-collector circuit configuration is provided with the load resistor connected from emitter to ground. It is used primarily for impedance- matching purpose since it has high input impedance and low output impedance. Fig 3.10 CC Configuration For the common-collector configuration, the output characteristics are a plot of IE vs VCE for a range of values of IB. Fig 3.11 Output Characteristics of CC Configuration for npn Transistor Limits of opearation Many BJT transistor used as an amplifier. Thus it is important to notice the limits of operations.At least 3 maximum values is mentioned in data sheet. There are: a) Maximum power dissipation at collector: PCmax or PD b) Maximum collector-emitter voltage: VCEmax sometimes named as VBR(CEO) or VCEO. c) Maximum collector current: ICmax There are few rules that need to be followed for BJT transistor used as an amplifier. The rules are: transistor need to be operate in active region! IC < ICmax PC < PCmax Note: VCE is at maximum and IC is at minimum (ICMAX=ICEO) in the cutoff region. IC is at maximum and VCE is at minimum (VCE max = Vcesat = VCEO) in the saturation region. The transistor operates in the active region between saturation and cutoff. Refer to the fig. Example; A derating factor of 2mW/°C indicates the power dissipation is reduced 2mW each degree centigrade increase of temperature. Step1: The maximum collector power dissipation, PD=ICMAX x VCEmax= 18m x 20 = 360 mW Step 2: At any point on the characteristics the product of and must be equal to 360 mW. Ex. 1. If choose ICmax= 5 mA, substitute into the (1), we get VCEmaxICmax= 360 mW VCEmax(5 m)=360/5=7.2 V Input admittance with output port short circuited Reverse transfer admittance with input port short circuited Forward transfer admittance with output port short circuited Output admittance with input port short circuited Hybrid parameters (h-parameters) If the input current I1 and output voltage V2 are taken as independent variables, the dependent variables V1 and I2 can be written as Where h11, h12, h21, h22 are called as hybrid parameters. Input impedence with o/p port short circuited Reverse voltage transfer ratio with i/p port open circuited Forward voltage transfer ratio with o/p port short circuited output impedence with i/p port open circuited THE HYBRID MODEL FOR TWO PORT NETWORK: Based on the definition of hybrid parameters the mathematical model for two pert networks known as h-parameter model can be developed. The hybrid equations can be written as: (The following convenient alternative subscript notation is recommended by the IEEE Standards: i=11= input o = 22 = output f =21 = forward transfer r = 12 = reverse transfer) We may now use the four h parameters to construct a mathematical model of the device of Fig.(1). The hybrid circuit for any device indicated in Fig.(2). We can verify that the model of Fig.(2) satisfies above equations by writing Kirchhoff'svoltage and current laws for input and output ports. If these parameters are specified for a particular configuration, then suffixes e,b or c are also included, e.g. hfe ,h ib are h parameters of common emitter and common collector amplifiers Using two equations the generalized model of the amplifier can be drawn as shown in fig. 2. Fig. 2 TRANSISTOR HYBRID MODEL: The hybrid model for a transistor amplifier can be derived as follow: Let us consider CE configuration as show in fig. 3. The variables, iB, iC ,vC, and vB represent total instantaneous currents and voltages iB and vC can be taken as independent variables and vB, IC as dependent variables. hie is the slope of the appropriate input on fig. 6, at the operating point (slope of tangent EF at Q). Fig. 6 A vertical line on the input characteristic represents constant base current. The parameter hre can be obtained from the ratio (VB2– V B1 ) and (VC2– V C1 ) for at Q. Typical CE h-parametersof transistor 2N1573 are given below: hie = 1000 ohm. hre = 2.5 * 10 –4 hfe = 50 hoe = 25 A / V ANALYSIS OF A TRANSISTOR AMPLIFIER USING H-PARAMETERS: To form a transistor amplifier it is only necessary to connect an external load and signal source as indicated in fig. 1 and to bias the transistor properly. Fig. 1 Consider the two-port network of CE amplifier. RS is the source resistance and ZL is the load impedence h-parameters are assumed to be constant over the operating range. The ac equivalent circuit is shown in fig. 2. (Phasor notations are used assuming sinusoidal voltage input). The quantities of interest are the current gain, input impedence, voltage gain, and output impedence. Current gain: For the transistor amplifier stage, Ai is defined as the ratio of output to input currents. Input impedence: The impedence looking into the amplifier input terminals ( 1,1' ) is the input impedance Zi Voltage gain: The ratio of output voltage to input voltage gives the gain of the transistors. Output Admittance: It is defined as Av is the voltage gain for an ideal voltage source (Rv = 0). Consider input source to be a current source IS in parallel with a resistance RS as shown in fig. 3. Fig. 3 In this case, overall current gain AIS is defined as Fig.1.4 Basic Amplifier Circuit The two port network of Fig. 1.4 represents a transistor in any one of its configuration. It is assumed that h-parameters remain constant over the operating range.The input is sinusoidal and I1,V- 1,I2 and V2 are phase quantities Fig. 1.5 Transistor replaced by its Hybrid Model Current Gain or Current Amplification (Ai) For transistor amplifier the current gain Ai is defined as the ratio of output current to input current,i.e, Ai =IL /I1 = -I2 / I1 From the circuit of Fig I2= hf I1 + hoV2 Substituting V2 = ILZL = -I2ZL I2= hf I1- I2ZL ho I2 + I2ZL ho = hf I1 I2( 1+ ZL ho) = hf I1 Ai = -I2 / I1 = - hf / ( 1+ ZL ho) Therefore, Ai = - hf / ( 1+ ZL ho) Input Impedence (Zi) In the circuit of Fig , RS is the signal source resistance .The impedence seen when looking into the amplifier terminals (1,1’) is the amplifier input impedence Zi, Zi = V1 / I1 From the input circuit of Fig V1 = hi I1 + hrV2 Zi = ( hi I1 + hrV2) / I1 = hi + hr V2 / I1 Substituting V2 = -I2 ZL = A1I1ZL Zi = hi + hr A1I1ZL / I1 = hi + hr A1ZL Substituting for Ai Zi = hi - hf hr ZL / (1+ hoZL) = hi - hf hr ZL / ZL(1/ZL+ ho) Taking the Load admittance as YL =1/ ZL Zi = hi - hf hr / (YL + ho) Voltage Gain or Voltage Gain Amplification Factor(Av) The ratio of output voltage V2 to input voltage V1 give the voltage gain of the transistor i.e, Av = V2 / V1 Substituting V2 = -I2 ZL = A1I1ZL Av = A1I1ZL / V1 = AiZL / Zi Output Admittance (Yo) Yo is obtained by setting VS to zero, ZL to infinity and by driving the output terminals from a generator V2. If the current V2 is I2 then Yo= I2/V2 with VS=0 and RL= ∞. From the circuit of fig I2= hf I1 + hoV2 Dividing by V2, I2 / V2 = hf I1/V2 + ho With V2= 0, by KVL in input circuit, RSI1 + hi I1 + hrV2 = 0 (RS + hi) I1 + hrV2 = 0 Hence, I2 / V2 = -hr / (RS + hi) = hf (-hr/( RS + hi)+ho Yo= ho- hf hr/( RS + hi) The output admittance is a function of source resistance. If the source impedence is resistive then Yo is real. Voltage Amplification Factor(Avs) taking into account the resistance (Rs) of the source