ELECTRONICS & COMMUNICATION ENGINEERING 1. COMMON EMITTER AMPLIFIER Aim 1. Design a COMMON - EMITTER amplifier for given specifications. 2. Simulate the designed amplifier. 3. Develop the hard ware for designed amplifier. 4. Compare simulated results with practical results. Apparatus S.No Name of The Component/ Equipment 1 Transistor (BC-107) 2 Capacitors(designed values) 3 Resistors (designed values) 4 5 6 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Theory: Specifications Icmax=100mA PD=300mw Vceo=45V Vbeo=50V Electrolytic type, Voltage rating= 1.6v Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp Qty 1 3 4 1 1 1 Common Emitter amplifier has the emitter terminal as the common terminal between input and output terminals. The emitter base junction is forward biased and collector base junction is reverse biased, so that transistor remains in active region throughout the operation. When a sinusoidal AC signal is applied at input terminals of circuit during positive half cycle the forward bias of base emitter junction VBE is increased resulting in an increase in IB ,The collector current Ic is increased by β times the increase in IB, VCE is correspondingly decreased. i.e output voltage gets decreased. Thus in a CE amplifier a positive going signal is converted into a negative going output signal i.e..180o phase shift is introduced between output and input signal and it is an amplified version of input signal. Characteristics of CE amplifier 1. Large current gain (AI ) 2. Large voltage gain (AV) 3. Large power gain(AP=AI .AV) 4. Phase shift of 180o 5. Moderate input & output impedances. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 1 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig. 1 Common Emitter Amplifier circuit diagram Design Equations Given Data VCC =12V, VCE = 6V, IE =2mA, β=500, S ≤ 5. 1) For fixing the optimum operating point Q, mark the middle of the d.c load line and the corresponding VCE (Q) and ICQ values are determined. VCE (Q) = VCC/2 2) Applying Kirchoff’s voltage law to the collector circuit in the diagram VCC ≥ ICQ(RC+RE) +VCE(Q) 3) By choosing drop across RE as 0.1 VCC VE = VCC/10 4) In transistor since base current is very small, so IE is approximately equal to IC ( IE = IC) , IERE 5) RC 6) The voltage across R2 is VR2 = VBE+IERE VCC. R2/(R1+R2) R1/(R1+R2)= ----------------------------- (a) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 2 ELECTRONICS & COMMUNICATION ENGINEERING 7) S = (1+ β) / (1+ βRE/(RE+RB)) 5= 101/ (1+(100 X 600/(600+RB))) RB= R1R2 / (R1+R2) = ------------------- (b) From (a) & (b) R1 = _______ R2 = ________ Capacitor Calculations To provide low reactances almost short circuit at the operating frequency f=1KHZ. XCi = 0.1RB , Xco =0.1 RC, XcE =0.1 RE Standard values of Resistors and capacitors R1_____, R2=____ RC=_____, RE=____, Ci = Co = _______, CE=______ Procedure 1. Connect the circuit as per the circuit diagram Fig. 1. 2. Apply the supply voltage , VCC=12V 3. Make sure that the transistor is operating point in active region by keeping VCE half of VCC. 4. Now feed an ac signal of 20mV at the input of the amplifier with different frequencies ranging from 100HZ to 300 MHZ and measure the amplifier output voltage. 5. Now calculate the gain in decibels at various input signal frequencies. 6. Draw a graph with frequencies on X-axis and gain in dbs on Y-axis. From the graph calculate Bandwidth. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 3 ELECTRONICS & COMMUNICATION ENGINEERING Tabular form Simulation Input AC voltage, ______ mV (peak-peak) S.No Frequency (HZ) Output Voltage(Vo) (Volts-p-p) Gain in decibels AV=20 log (Vo / Vi) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Practical Input AC voltage, VI= _____ mV (peak-peak) S.No Frequency (HZ) Output Voltage (Vo) (Volts-p-p) Gain in decibels AV=20 log (Vo/ VI) 1 2 3 4 5 6 7 8 9 10 11 12 ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 4 ELECTRONICS & COMMUNICATION ENGINEERING Model graph Observations Simulated Practical Maximum gain (Av) = Lower cutoff frequency (FL) Upper cutoff frequency (FH) Band width (B.W) = (FH – FL) = = = Gain bandwidth product = Av (B.W) = Precautions 1. Connections must be given very carefully. 2. Readings should be noted without any parallax error. 3. The applied voltage, current should not exceed the maximum rating of the given transistor. Inferences Result ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 5 ELECTRONICS & COMMUNICATION ENGINEERING Questions 1. What are the characteristics of C.E amplifier? 2. What is the main application of CE amplifier? 3. What is meant by Bandwidth of an amplifier? 4. Find the phase relation b/w input and output? 5. Measure Ri, RO and Ai of a circuit? 6. Define operating point? 7. Proof for the circuit/BJT is in active region operation? 8. Which component in the circuit effects the gain and bandwidth of an amplifer? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 6 ELECTRONICS & COMMUNICATION ENGINEERING 2. COMMON COLLECTOR AMPLIFIER Aim 1. To design a COMMON – COLLECTOR amplifier for given specifications. 2. Simulate the designed amplifier. 3. Develop the hard ware for designed amplifier. 4. Compare simulated results with practical results. Apparatus S.No Name of The Component/ Equipment 1 Transistor (BC-107) 2 Capacitors(designed values) 3 Resistors (designed values) 4 5 6 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Specifications Icmax=100mA PD=300mw Vceo=45V Vbeo=50V Electrolytic type, Voltage rating= 1.6v Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp Qty 1 3 4 1 1 1 Theory Common Collector amplifier has the collector terminal as the common terminal between input and output terminals. The emitter base junction is forward biased and collector base junction is reverse biased, so that transistor remains in active region throughout the operation. The collector base junction acts as input and emitter base junction acts as output. Thus the output taken across the emitter, it exactly follows the input voltage variation. Hence it is named as emitter follower. An external load resistor RL is capacitor coupled to the emitter terminal of the transistor. Bias voltage VB is derived from Vcc by means of potential divider R 1 and R 2 .So circuit employs emitter current bias. No resistor is connected in series with the transistor collector terminal, and no emitter bypass capacitor is employed. The capacitors C 1 and C 2 acts as input and output coupling capacitors.CC-amplifier circuit provides current gain and power gain but no voltage gain. It has high input impedance and very low output impedance. The voltage gain of emitter follower is unity, thus it is used as buffer amplifier. It is also used as impedance matching network. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 7 ELECTRONICS & COMMUNICATION ENGINEERING Characteristics of CC amplifier 1. High input impedance 2. Low output impedance 3. High current gain(Ai) 4. Large power gain(AP=AI .AV) 5. Voltage gain is unity. Circuit Diagram Fig. 1 Common Collector Amplifier Circuit Diagram Design Equations Given Data: VCC =12V, IE =2mA, β=500, S ≤ 5,f=1KHZ 1. For fixing the optimum operating point Q, mark the middle of the d.c load line and the corresponding VCE (Q) and ICQ values are determined. VCE (Q) = VCC/2 = 2. Applying Kirchoff’s voltage law to the collector circuit in the diagram VCC ≥ IERE +VCE(Q) RE= ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 8 ELECTRONICS & COMMUNICATION ENGINEERING 3. S = (1+ β) / (1+ βRE/(RE+RB)) RB= RB = R1R2 / (R1+R2) = 4. VR2 =VBE+VE =0.7+IERE VR2= 5. VR2= Vcc (R2)/(R1+R2) R2/(R1+R2)= R1= R2= Capacitor Calculations To provide low reactances almost short circuit at the operating frequency f=1KHZ. XCi = 0.1RB 6. XCi = Ci = 7. Xco = RE/10 Co =1/ (2πfXco)= Procedure 1. Connect the circuit as per the circuit diagram Fig. 1. 2. Apply the supply voltage , VCC=12V 3. Make sure that the transistor is operating point in active region by keeping VCE half of VCC. 4. Now feed an ac signal of 1V at the input of the amplifier with different frequencies ranging from 100HZ to 300 MHZ and measure the amplifier output voltage. 5. Now calculate the gain in decibels at various input signal frequencies. 6. Draw a graph with frequencies on X-axis and gain in dbs on Y-axis. From the graph calculate Bandwidth. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 9 ELECTRONICS & COMMUNICATION ENGINEERING Tabular form Simulation Input AC voltage, VI= ______ V (peak-peak) S.No Frequency (HZ) Output Voltage(Vo) (Volts-p-p) Gain in decibels AV=20 log (Vo / Vi) Practical Input AC voltage, VI= ______ V (peak-peak) S.No Frequency (HZ) Output Voltage (Vo) (Volts-p-p) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS Gain in decibels AV=20 log (Vo/ VI) 10 ELECTRONICS & COMMUNICATION ENGINEERING Model graph Observations Simulated Practical Maximum gain (Av) Lower cutoff frequency (FL) Upper cutoff frequency (FH) Band width (B.W) = (FH – FL) Gain bandwidth product = Av (B.W) Precautions 1. Connections must be given very carefully. 2. Readings should be noted without any parallax error. 3. The applied voltage, current should not exceed the maximum rating of the given transistor. Inferences: Result . Questions 1. What are the characteristics of CC amplifier? 2. What is the main application of CC amplifier? 3. What is meant by Bandwidth of an amplifier? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 11 ELECTRONICS & COMMUNICATION ENGINEERING 3. TWO STAGE RC COUPLED AMPLIFIER Aim: 1. Design two stage RC coupled amplifier for given specifications. 2. Simulate the designed amplifier. 3. Develop the hard ware for designed amplifier. 4. Compare practical results with theoretical results. Apparatus S.No Name of The Component/equipment Specifications 1 Icmax=100mA PD=300mw Vceo=45V Vbeo=50V Electrolytic type Voltage rating= 1.6v Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp Transistor (BC-107) 2 Capacitors(designed values) 3 Resistors (designed values) 4 5 6 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Qty 02 05 09 1 1 1 Theory When two amplifiers are connected, in such a way that the output signal of first serves as the input signal of second, the amplifiers are said to be connected in cascade. Cascading is done to increase the gain of the amplifier. Each stage of the cascade amplifier should be biased at its designed level. It is possible to design a Multistage cascade in which each stage is separately biased and coupled to the adjacent stage using blocking or coupling capacitors. In this circuit each of the two capacitors c1 & c2 isolate the separate bias network by acting as open circuits to dc and allow only signals of sufficient high frequency to pass through cascade. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 12 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig. 1 Two Stage Common Emitter Amplifier Circuit Diagram. Design equations Given Data: hfe1 = hfe2= 200, RL =10Ω,IE1 = IE2 =1mA, s1 = s2 =8, f=100HZ, VCC=12v 1) For fixing the optimum operating point Q, mark the middle of the d.c load line and the corresponding VCE (Q) and ICQ values are determined. VCE (Q) = VCC/2 2) By choosing drop across RE as 0.1 VCC VE = VCC/10 3) In transistor since base current is very small, so IE is approximately equal to IC ( IE = IC) , IERE = ; ICRE = RE = VE / IE = 4) Applying Kirchoff’s voltage law to the collector circuit in the diagram RC = (VCC – VCE – VE) / IC = ( 5) The voltage across R2 is VBB = VCC * R2 / (R1 + R2) --------------- (1) VBB = VBE + IERE -------------------- (2) Substitute (2) in (1) 1.8 = 12 R2 / (R1+R2) R2 = 0.1761 R1 ------------------ (a) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 13 ELECTRONICS & COMMUNICATION ENGINEERING 6) S=1+ R1R2/ (R1+R2) RE -----------------(b) By solving (a) and (b) we get R1 = _________ R2 = ________ Capacitor calculations: To provide low reactances almost short circuit at the operating frequency f=100HZ. X cE = 0.1RE , Xci =0.1 Zi, Xco =0.001 Z0 7) X cE << RE, X cE =RE/10 => CE= 8) XCi=Zi/10 Where Zi=hie//RE = => Ci = 9) XCo= ZO/1000 ZO=RL//RC = => CO = Standard values R11= R12= R1=______, R21 = R22 =R2 = _______, RE1 =RE2 =RE =_______ RC1 =RC2 =RC=_______, RL=______,Ci=_____,CC= _____,CE = _____ C0= _______ Procedure 1. Connect the circuit as per the circuit diagram Fig. 1. 2. Apply supply voltage, Vcc= 12V. 3. Make sure that the transistor is operating in active region by keeping Vce half of Vcc. 4. Now feed an ac signal of 20mV at the input of the amplifier with different frequencies ranging from 100Hz to 1MHz and measure the amplifier output voltage, Vo. 5. Now calculate the gain in db at various input signal frequencies. 6. Draw a graph with frequencies on X- axis and gain in db on Y- axis. From graph calculate bandwidth. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 14 ELECTRONICS & COMMUNICATION ENGINEERING Tabular Form Simulation Input AC voltage, Vi = ______mV (peak-peak) S.No Frequency (Hz) Output voltage Vo (mv) (peak-peak) Gain in decibels AV=20 log (Vo / Vi) Practical Input AC voltage, Vi = _______mV (peak-peak) S.No Frequency (Hz) Output voltage Vo (mv) (peak-peak) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS Gain in decibels AV=20 log (Vo / Vi) 15 ELECTRONICS & COMMUNICATION ENGINEERING Observations Simulation Practical Maximum gain (Av) Lower cutoff frequency (fL) Upper cutoff frequency (FH) Band width (B.W) = (FH – FL) Gain bandwidth product = Av (B.W) Model graph Precautions 1. Connections must be done very carefully. 2. Readings should be noted without any parallax error. 3. The applied voltage and current should not exceed the maximum ratings of the given transistor. Inferences Result Questions 1. Why RC coupled amplifiers widely used as voltage amplifiers? 2. Why the voltage gain of RC coupled amplifier falls in low frequency range? 3. Why the voltage gain of RC coupled amplifier falls at high frequency range? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 16 ELECTRONICS & COMMUNICATION ENGINEERING 4. WIENBRIDGE OSCILLATOR Aim 1. Design a WIEN BRIDGE OSCILLATOR for given specifications. 2. Simulate the designed oscillator. 3. Develop the hard ware for designed oscillator. 4. Compare practical results with theoretical results. Apparatus S.No Name of The Component/Equipment Specifications 1 ICMAX=100mA PD=300mw VCEO=45V VBEO=50V Voltage rating= 1.6v Electrolytic type Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp Transistor (BC-107) 2 Capacitors(designed values) 3 Resistors (designed values) 4 5 6 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Qty 2 5 10 1 1 1 Theory The circuit diagram of Wien bridge oscillator is given in figure .The circuit consists of a two stage RC coupled amplifier which provides a phase shift of 360 or 0. A balanced bridged is used as the feedback network which has no need to provide any additional phase shift. The feedback network consists of lead-lag network(R 1 -C 1 and R 2 -C 2 ) and a voltage divider (R 3 -R 4 ). The lead–lag network provides positive feedback to the input of first stage and the voltage divider provides a negative feedback to the emitter of Q 1 .If the bridge is balanced, R3/R4=(R1-jXc1)/(R2)(-jX2)/(R2-jXc2)). Where Xc1 and Xc2 are the reactances of the capacitors. By simplifying and equating the real and imaginary parts on both sides,we get the frequency of oscillation as, fo= 1/ ( 2π√R1R2C1C2) =1/(2πRC), if R1=R2=R3 and C1=C2=C. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 17 ELECTRONICS & COMMUNICATION ENGINEERING The ratio of R3 to R4 being greater than 2 will provide a sufficient gain for the circuit to oscillate at the desired frequency. This oscillator is used in commercial audio signal generator. Circuit Diagram Fig. 1 Wienbridge Oscillator Circuit Diagram Design Equations Given data: VCC =15v, VCE =8v, IC=2mA, β=100, VBE =0.6v, 1) Applying Kirchoff’s voltage law to the collector circuit in the diagram VCC = VCE+ ICRC Rc = (Vcc -Vce)/Ic IB= IC/β = 2) Applying Kirchoff’s voltage law to the base circuit in the diagram Vcc = IBRB+ VBE => Rb = Current through R5,R6 I1 = 10IB But I1= Vcc/(R5+ R6) R5 + R6 = But V6 = VBE + VE VE = V6 = I1 (R6 )= ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 18 ELECTRONICS & COMMUNICATION ENGINEERING R6 = R5 + R6 = R5= Ve = IERE=> RE= XCO=RC/10=(3.5k)/10 f=1KHZ CO=1/(2πfRC/10)= CF= Practical Values Time period= %error = (|Theoritical-Practical|/ Theoritical) x100 Procedure 1. Connections are made as per the circuit diagram. 2. Switch on power supply. 3. Connect the CRO at output of the circuit. 4. Adjust potentiometer for distortion free wave form. 5. Measure the output frequency and amplitude on CRO and compare the theoretical and practical frequencies. 6. Repeat the procedure for different values of capacitor. Tabular form Simulation S.No Amplitude(V) (Peak-Peak) Frequency(KHZ) % Error 1 Practical S.No Amplitude(V) peak Peak- Frequency(KHZ) % Error ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 19 ELECTRONICS & COMMUNICATION ENGINEERING Model Graph Inferences Result . Questions 1. What is oscillator? 2. What are BHARKHAUSEN conditions of oscillators? 3. Which type of feedback is used in wein bridge oscillator? 4. What is the application of wein bridge oscillator? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 20 ELECTRONICS & COMMUNICATION ENGINEERING 5. RC PHASE SHIFT OSCILLATOR Aim 1. To design RC phase shift oscillator for given specifications. 2. Simulate the designed circuit. 3. Compare the theoretical and practical values. Apparatus S.No Name of The Component/equipment Specifications 1 Icmax=100mA PD=300mw Vceo=45V Vbeo=50V Electrolytic type Voltage rating= 1.6v Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp Transistor (BC -107) 2 Capacitors(designed values) 3 Resistors (designed values) 4 5 6 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Qty 1 3 4 1 1 1 Theory RC phase shift oscillators are more suitable oscillators as they occupy less space. RC phase shift oscillator can be achieved by two means, 1. RC phase shift oscillator using cascade of high pass filters. 2. RC phase shift oscillator using cascade of low pass filters. If values of R and C are chosen that every RC section provides a phase shift of 60o. thus theoretically RC ladder network produces a total phase shift of 1800 between input and output voltages for the given frequency. Therefore at a specified frequency fr the total phase shift from base of transistor around and back to the base will be 3600 or 00, there by Barkausen condition of oscillation, the frequency of oscillations is given by f=1/2πRC (6+4K)1/2 Where C1=C2=C3=C, K=RC/R, R1=R2=R3=R ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 21 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig.1 RC Phase Shift Oscillator Circuit Diagram Design Equations Given data: VCC =12v, IC =1mA, β = 100, VBE =0.3v, VCE =8v,f = 1KHZ 1) The d.c current gain is defined as the ratio of collector current (IC) to the base current (IB) βdc = IC/ IB IB = IC /β = 2) The voltage across the base resistor is VCC = VB + VBE = IB RB + VBE RB = 3) By choosing drop across RE as 0.1 VCC VRE = VCC / 10 = ICRE RE = 4) Applying Kirchoff’s voltage law to the collector circuit in the diagram VCC ≥ ICQ(RC+RE) +VCE(Q) RC+RE = RC = ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 22 ELECTRONICS & COMMUNICATION ENGINEERING Capacitor calculations To provide low reactances almost short circuit at the operating frequency f=1KHZ. XCE = 0.1RE , XcO =0.1 RO 5) XCO= RO/10 , CO=1/(2πf RO) = 6) XcE = RE / 10 ,CE =1/(2πf RE) = Theoretical Values Assume f=1k HZ, C=0.01µ F f=1/(2πRC)((6+4k))1/2 where k=RC/R, R= Procedure 1. Connections are made as per circuit diagram Fig. 1. 2. Switch on the power supply. 3. Connect the CRO at the output of the circuit and apply supply voltage of VCC =12v. 4. Compare the simulation frequency and practical frequency values. 5. Plot the graph for amplitude versus frequency. Observations Time period, T of the AC signal available at the output = The frequency of Oscillations, f = 1 / T = Tabular Form Simulation S.NO Amplitude(v) p-p Frequency (KHZ) % Error Frequency (KHZ) % Error Practical S.NO Amplitude(v) p-p ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 23 ELECTRONICS & COMMUNICATION ENGINEERING Model Graph Precautions 1. Connections must be done very carefully. 2. Readings should be noted without any parallax error. 3. The applied Voltage and current should not exceed the maximum ratings of the given transistor. Inferences Result: Questions 1. Which type of feedback is used in RC phase shift oscillator? 2. How many RC networks are used in RC phase shift oscillator? 3. What must be the gain of the internal amplifier in the general RC phase shift oscillator? 4. What is the effect of VCC, R & C values on output? 5. How to vary the frequency in worse and fine ways? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 24 ELECTRONICS & COMMUNICATION ENGINEERING 6. CLASS-A POWER AMPLIFIER Aim 1. Design a class-A inductor coupled power amplifier to deliver 4W power to 10 Ohms load resistor. 2. Simulate the designed amplifier. 3. Develop the hard ware for designed amplifier. 4 Compare practical results with theoretical results. Apparatus S.No Name of the Component Specifications /equipment Qty 1 Power transistor (BD139) 1 2 Resistor (designed values) 3 Capacitors(designed values) 4 5 6 7 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Inductor(designed values) VCE =60V, VBE = 100V IC = 100mA hfe = 40 to160 Power rating=0.5w Carbon type Electrolytic type Voltage rating= 1.6v 0 -1MHZ 20MHZ 0-30V,1Amp Operating temperature=ambient 4 3 1 1 1 1 Theory The power amplifier is said to be class A amplifier if the Q point is selected in such a way that output signal is obtained for a full input cycle. For class A power amplifier position of Q point is at the centre of mid point of load line. For all values of input signals the transistor remains in the active region and never enters into the cut off or saturation region. When an ac signal is applied, the collector current flows for 3600 of the input cycle. In other words, the angle of collector current flow is 3600 i.e... One full cycle. Here signal is faithfully reproduced at the output without any distortion. This is an important feature of class A operation. The efficiency of class A operation is very low with resistive load and is 25%. This can be increased to 50% by using inductive load. In the present experiment inductive load is used. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 25 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig. 1 Class-A Power Amplifier Circuit Diagram Design Equations Given data: RL= 10Ω, PL max= 4W, f=1KHZ 1) Selection of L: ωL>>RL L>>RL/2πfL = 2) Selection of VCC: The maximum power which can be delivered is obtained for Vm = VCC (if vmin=0) PL max ≤ VCC ² /2RL VCC ² ≥PLmax X 2RL, VCC = 3) Selection of RE: ICQ = (PC max /RL)1/2 = ICQ=VCC/(Rac+Rdc) where Rac= RL, Rdc= RE ICQ=VCC/(RL+RE) , RE = (VCC /ICQ) - RL , RE = 4) Selection of biasing resisters R1 & R2: VBB= VBE+VE VE = ICQ*RE = VBB= ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 26 ELECTRONICS & COMMUNICATION ENGINEERING The voltage across R2 is VBB=VCCR2/(R1+R2) RB= R1R2/(R1+R2) R1 =______ , R2 , = _________ Capacitor calculations To provide low reactances almost short circuit at the operating frequency f=1KHZ. XCE = 0.01RE , Xci =0.1 RB ,Xc0 =0.1 RL 5) Selection of CE: XcE= RE/100 CE = _______ 6) Selection of Ci& C0: Xci≈RB/10= Ci = _______ 7) Xc0≈RL/10 =____, C0 = _______ Procedure 1. Connect the circuit as shown Fig. 1 and supply the required DC voltage 2. Feed an AC signal at the input and keep the frequency at1 KHZ and amplitude 5V.Connect a power o/p meter at the o/p. 2. Change the o/p impedance in steps for each value of impedance and note down the o/p power. 3. Plot a graph between o/p power and load impedance. From this graph find the impedance for which the o/p power is maximum. This is the value of optimum load. 4. Select load impedance which is equal to 0V or near about the optimum load. See the wave form of the o/p of the C.R.O. 5. Calculate the power sensitivity at a maximum power o/p using the relation. Power sensitivity = output power / (rms value of the signal)2 ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 27 ELECTRONICS & COMMUNICATION ENGINEERING Tabular Form Simulation Input Power=VCC x ICQ=_______ S.No RL(Ohm) D.C.Input Power Pin (W) Output Power Efficiency = Pout (W) pout/pin*100(%) Practical S.No RL(Ohm) D.C Input Power Pin (W) A.C output Power Pout (W) η=(Pac)/(Pdc)*100 Model Graph ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 28 ELECTRONICS & COMMUNICATION ENGINEERING Precautions 1. Connections should be done care fully. 2. Take the readings with out any parallax error. Inferences Result Questions 1. What is power amplifier? 2. Why power amplifiers are called as large signal amplifiers? 3. What is the maximum collector efficiency of transformer load class A power amplifier? 4. What is the maximum collector efficiency of resistive load class A power amplifier? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 29 ELECTRONICS & COMMUNICATION ENGINEERING 7. CLASS-B POWER AMPLIFIER Aim 1. Design a class B push pull amplifier to deliver 5W to 10 Ohm load resistor 2. Simulate the designed regulator. 3. Develop the hardware for designed Regulator. 4. Compare the practical values with theoretical values. Apparatus S.No Name of the component /Equipment Specifications Qty 1 Power transistors BD 138, BD139 2 2 3 4 I/P Transformer Turns Ratio O/P Transformer Turns Ratio Resistor (designed values) 5 6 7 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Pcmax =12.5W Icmax=1.5A Vcemax=80V,hfe=100 1:1 4:1 Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp 1 1 4 1 1 1 Theory The two transistors are biased to work in class-B operation. This increases the power efficiency of the circuit. When the signal is applied, the transformer Q1 works as a phase splitter. It produces two signals (for the two transistors) which are equal in magnitude but opposite in phase. During positive half-cycle of the input signal, the base of the transistor Q1 is driven positive. So, it will be in the conducting state. The base of the transistor Q 2 is driven negative. It remains cut-off. Current ic1 flows, but ic2 is zero. During the negative half cycle of the input signal, the opposite happens. Q 2 conducts, but Q 1 does not. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 30 ELECTRONICS & COMMUNICATION ENGINEERING Circuit diagram Fig.1 Class-B Power Amplifier Circuit Diagram Design Equations Given data: PL (max) = 5W, PC (max) = 12.5 W, IC (max) = 1.5A, V CC (max) = 80V, S=8 1. Selection of Vcc: PL (max) =VCC X IC (MAX) / 2 Vcc= 2. Selection of RL IC (max) =VCC / N ² X RL RL =______ 3. Selection of RE : RE << RL RE=RL/10 4. Selection of R1 & R2: VE= ICQ X RE ICQ=PC (max) / VCE S=RB // RE=R1 // R2 // RE R2 = VE = Vcc X R1 / (R1+R2) R1 = ______ R2= _______ ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 31 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the circuit as per the circuit diagram shown in Fig. 1 2. Connect the required supply from the regulated R.P.S 3. Feed the AC signal at the I/p and keep the frequency at 1 KHz . connect the power o/p meter at the o/p. Change the o/p impedance in steps for each value of impedance and note down the o/p power. 4. Plot a graph between o/p power and load impedance. From this graph find the impedance for which the output power is maximum. This is the value of optimum load. 5. Select load impedance which is equal to optimum load. See the wave form of the output on C.R.O. 6. Calculate the conversion efficiency.. Tabular form Simulation S.NO Load resistance Pac (W) Pdc (W) RL (Ohms) % η = ((Pac) / (Pdc))*100 Practical S.NO Load resistance RL (Ohms) Pac (W) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS Pdc (W) % η = ((Pac) / (Pdc))*100 32 ELECTRONICS & COMMUNICATION ENGINEERING Model Graph Precautions 1. Connections should be made carefully. 2. Take the readings without parallax error. Inferences Result Questions 1. What are the advantages of class B power amplifier? 2. What is the period of conduction in class B power amplifier? 3. How is the cross over distortion eliminated? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 33 ELECTRONICS & COMMUNICATION ENGINEERING 8. CLASS B COMPLEMENTARY SYMMETRY POWER AMPLIFIER Aim 1. Design a complementary symmetry power amplifier to deliver maximum power to 10 Ohm load resistor. 2. Simulate the design circuit. 3. Develop the hard ware for design circuit. 4. Compare the practical results with theoretical values. Apparatus Sl.No Name of the Component /equipment Specifications Qty 1 Power transistor (BD139) 1 2 Resistor (designed values) 3 Capacitors(designed values) 4 Inductor(designed values) VCE =60V VBE = 100V IC = 100mA hfe = 40 -160 Power rating=0.5w Carbon type Electrolytic type Voltage rating= 1.6v Operating temp =ambient 5 6 7 Function Generator Cathode Ray Oscilloscope Regulated Power Supply 0 -1MHZ 20MHZ 0-30V,1Amp 1 1 1 4 3 1 Theory In complementary symmetry class B power amplifier one is p-n-p and other transistor is n-p-n. In the positive half cycle of input signal the transistor Q1 gets driven into active region and starts conducting. The same signal gets applied to the base of the Q2. it ,remains in off condition, during the positive half cycle. During the negative half cycle of the signal the transistor Q2 p-n-p gets biased into conduction. While Q1 gets driven into cut off region. Hence only Q2 conducts during negative half cycle of the input, producing negative half cycle across the load. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 34 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig. 1 Class-B Complementary Symmetry Power Amplifier Circuit Diagram Design Equations: Given data: PL (MAX) =5 W, RL= 10Ω, f = 1KHZ 1. Selection of VCC:PL (MAX) = VCC ² / 2RL VCC ² = PL (MAX) 2RL VCC = 2. Selection R and RB:VBB = VBE = 0.6V , assume R = 150Ω VBB=VCC.R / (R+RB) RB = Capacitor calculations To provide low reactances almost short circuit at the operating frequency f=1KHZ. XCC1 = XCC2 = (R \\ RB) / 10 CC1 = CC2 = 1/ 2 π f XCC1 = ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 35 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the circuit diagram as shown in Fig. 1 and supply the required DC supply. 2. Apply the AC signal at the input and keep the frequency at 1 KHz and connect the power o/p meter at the output. Change the Load resistance in steps for each value of impedance and note down the output power. 3. Plot the graph between o/p power and load impedance. From this graph find the impedance for which the output power is maximum. This is the value of optimum load. 4. Select load impedance which is equal to 0V or near about the optimum load. See the wave form of the o/p of the C.R.O. 5. Calculate the power sensitivity at a maximum power o/p using the relation. Tabular Form Simulation Input power = 2 VCC2 / (πRL) = S.No O/P Impedance (Ω) I/P Power (pi) (W) O/P Power(po) (W) N=(Po)/( Pi)*100 Practical Input power = _____mW S.NO O/P Impedance (Ω) I/P Power(pi ) (mW) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS O/P Power(po) (mW) η=(Pac)/(Pdc)*100 36 ELECTRONICS & COMMUNICATION ENGINEERING Model Graph Precautions 1. Connections should be made care fully. 2. Take the readings with out parallax error. 3. Avoid loose connections. 4. Simulation switch must be off while changing the values. Inferences Result . Questions 1. What is the use of Heat sinks in power amplifiers? 2. What is cross over distortion? 3. What is the maximum efficiency of Class B complementary symmetry Power amplifier? 4. What are the advantages of Class B complementary symmetry amplifier? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 37 ELECTRONICS & COMMUNICATION ENGINEERING 9. SINGLE TUNED VOLTAGE AMPLIFIER Aim To design a class c tuned voltage amplifier for the input signal frequency of 5 kHz Apparatus Sl.No Name of the Component / equipment 1 Power transistor 2 capacitor(designed values) 3 Resistors(designed values) 4 Inductors(designed values) 5 6 7 Function Generator Cathode Ray Oscilloscope Regulated Power Supply Specifications Icmax=100mA pDmax=300mw Vceo(max)=45v Vcbo(max)=50v Max temp : 65c Electrolytic type capacitor Power rating=0.5w Carbon type Internal resistance=∞ Operating point : Ambient 0 -1MHZ 20MHZ 0-30V,1Amp Qty 1 3 2 1 1 1 1 Theory In class C amplifier, the Q point and input signal are selected such that the output signal is obtained for less than a half cycle, for a full wave input. Due to such a selection of Q point, transistor remains active , for less than a half cycle, For remaining cycle of input cycle, the transistor remains cut off and no signal is produced at the output. When a class C amplifier is connected to a parallel tuned circuit, there fore the output voltage is maximum at the resonant frequency. The resonant frequency for parallel tuned circuit is given by fr = 1/2 Π LC . Tuned Amplifiers are used at radio frequencies. The amplifier consists of LC Circuit for tuning certain frequency. The resonant frequency of lc circuit is equal to input frequency. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 38 ELECTRONICS & COMMUNICATION ENGINEERING Circuit diagram Fig. 1 Single Tuned Voltage Amplifier Circuit Diagram Design equations Given data: fr=5KHz , C=0.01µF,RB=1KHz,RL=1MΩ 1. selection of L: fr = 1/2 Π LC L= Capacitor calculations To provide low reactances almost short circuit at the operating frequency f=5KHZ. XC1 = 0.1RB , XC2 =0.1 RL, 2. selection of capacitor c 1 : XC1=RB / 10 C1= selection of capacitor c 2 : Xc2 = RL/10 C2= ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 39 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the circuit as per the circuit diagram shown in Fig. 1. 2. Apply input signal of some fixed amplitude. 3. Set input signal frequency at some frequency (say 100 KHz). 4. Increase the frequency in steps of KHz and observe the output. 5. Measure the output voltage for each value of input frequency. 6. Find the frequency at which maximum output is obtained. 7. Tabulate the readings and find voltage gain. 8. Draw the graph between frequencies vs. gain. 9. Locate two points on either side of the amplitude peak value on the graph at which the gain is 70.7% of maximum gain. Tabular Form Simulation Input voltage = _____V (peak-peak) S.No Frequency (KHZ) Output Voltage (Vo) (peak-peak) volts Gain in dB AV=20 log (Vo / Vi) Practical Input voltage = _____V (peak-peak) S. No Frequency Output Voltage (Vo) (KHZ) (volts p-p) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS Gain in dB = 20log (Vo/Vi) 40 ELECTRONICS & COMMUNICATION ENGINEERING Model graph Precautions 1. Connections should be made care fully. 2. Take the readings with out parallax error Inferences Result Questions 1. What are the applications of Tuned amplifiers? 2. What are the requirements of tuned amplifiers? 3. What is Q-factor? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 41 ELECTRONICS & COMMUNICATION ENGINEERING 10. SERIES VOLTAGE REGULATOR Aim 1. Design series voltage regulator to operate on supply of 15v. 2. Simulate the design of regulator. 3. Develop the hardware for design of voltage regulator. 4. Compare the practical results with theoretical results. Apparatu: S.No Name of the component/equipment 1 Zener diode 2 Transistors (BC 107) 3 Resistors(designed values) 4 Regulated power supply (Bz6.5) Specifications Vz=6.5v I c max =100ma, VCEO =45v, Pd(min) =300mw Power dissipation=0.5w Carbon type Tolerance ±5% 0-30 V,1Amp Qty 1 1 1 1 Theory A regulator is an electronic circuit which maintains a constant output irrespective of change in input voltage, load resistance and change in temperature. Series voltage regulator is one type of regulator. If in a voltage regulator circuit , the control element is connected in series with the load ,then the circuit is called series voltage regulator circuit. The unregulated d.c voltage is the input to the circuit. The control element controls the input voltage, that gets to the output. The sampling circuit provides the necessary feed back signal. The comparator circuit compares the feed back with the reference voltage to generate appropriate control signal. In a transistorized series feedback type regulator the output voltage is given by Vo = (1+R1/R2) (VBE2+Vz) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 42 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig. 1 Series Voltage Regulator Circuit Diagram Design Equations Given data VL= 9V, IL = 40mA, IZ = 1mA, VZ = 6.5V Vi =15V, IB =1mA, hfe=100 1. Assume the current flowing through the resistor R1 & R3 is 1/10 of the IL I1=I3=IL/10 =40mA / 10 = 2. IE1=I1+I3+IL = 3. 4. RL=VL/IL = 9/(40 X 10-3) = VO=VL=R3I3+VZ R3=VL-VZ/I3 = 5. R1I1+VBE2+VZ=VO R1=VO-(VBE2+VZ)/I1 = 4 R2I2 = VBE2 + VZ hfe = 100, IC2 = 5 I2 = I1-IB2 ( Since hfe = IC2/IB2 ) I2= 6 I4= IB1 + IC2 IB1 = IC1 / hfe1 (IC1 = IE1) I4 = 3 7 Vi = I4R4 + VBE1 + VO R4 = ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 43 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the Circuit diagram as shown in the Fig. 1. 2. Apply the input voltage of 15V 3. Keep the input Voltage constant. Vary the load resistance and measure the output Voltage and output current 4. Tabulate the readings 5. Plot the graph between Load current versus Load Resistance and Output Voltage versus Load resistance. Tabular forms Simulation S.No Load resistance RL (Ohms) Output Voltage (v) Output Current IL (mA) Output Voltage (v) Output Current IL (mA) Practical S.No Load resistance RL (Ohms) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 44 ELECTRONICS & COMMUNICATION ENGINEERING Model graph Precautions 1. Connections should me made care fully. 2. Take the readings with out parallax error. Inferences Result Questions 1. What is voltage regulator? 2. Why series regulators are called as linear voltage regulators. 3. What are the applications of series voltage regulator? 4. What are the characteristics of series voltage regulator? 5. How the regulation is obtained in series regulator. 6.What is the effect of output short on circuit operation? 7.What is the range of input voltage for which output is constant? 8. Define line and load regulations? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 45 ELECTRONICS & COMMUNICATION ENGINEERING 11. SHUNT VOLTAGE REGULATOR Aim 1. Design a Voltage Shunt regulator for a supply of 15V to provide an o/p of 7V with load current 40 mA. 2. Simulate the designed regulator. 3. Develop the hardware for designed Regulator. 4. Compare the practical values with theoretical values. Apparatus S.No Name of the component /Equipment Specifications Qty 1 Resistors ( designed values) 0.5w , Tolerance ±5% 1 2 Transistor (BC107) ICmax=100mA, Vce = 5V Vceo=45v,Pd(min)=300mw, hfe=100 1 3 Zener diode(BZ6.5) 4 Regulated Power Supply 6.5V 0-30V,1Amp 1 1 Theory The heart of any regulator circuit is a control element. If such a control element is connected in shunt with the load, the regulator is called shunt voltage regulator. The unregulated input voltage Vm tries to provide the load current but path of current is taken by the control element to maintain the constant voltage across the load. The control element remains constant voltage by shunting the current. Hence regulated power supply is called voltage shunt regulated circuit. The output voltage and output current of emitter follower series regulator is VL = Vz + VBE ------1 IL = VL/RL ------ 2. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 46 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig. 1 Shunt Voltage Regulator Circuit Diagram. Design Equations Given data : VL= 7V, IL = 40mA, IZ = 1mA, VZ = 6.5V Vi =15V, IB =1mA, hfe=100 1) RL = VL / IL= 2) By applying kirchoff’s current law IS = IZ+IC+IL ; where IC = hfe IB =100*1mA=100mA 3) Choose the zener breakdown voltage as less (0.5v-1v) than the required output voltage. VL= VZ+VBE VZ = VL- VBE 4) RS = (Vi – VL) / IS = Procedure 1) Connect the circuit as per the circuit diagram shown in Fig. 1. 2) Keep the input voltage constant vary the load resistance Rl and measure the o/p voltage and o/p current. 3) Plot the graph between VO and IL. 4) Plot the graph between IL and RL. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 47 ELECTRONICS & COMMUNICATION ENGINEERING Tabular forms Simulation S.No Load resistance RL (ohms) O/P Voltage Vo (volts) Load Current IL (mA) O/P Voltage Vo (volts) Load Current IL (mA) Practical S.No Load resistance RL (ohms) Model Graph ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 48 ELECTRONICS & COMMUNICATION ENGINEERING Precautions 1. Connections should me made care fully. 2. Take the readings with out parallax error. 3. Avoid loose connections Inferences Result Questions 1. What are the applications of shunt voltage regulator? 2. What are the characteristics of shunt voltage regulator? 3. How is the regulation obtained in shunt regulator? 4. What is the effect of output short on circuit operation? 5.What is the range of input voltage for which output is constant? 6.Define line and load regulations? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 49 ELECTRONICS & COMMUNICATION ENGINEERING PULSE AND DIGITAL CIRCUIT EXPERIMENTS ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 50 ELECTRONICS & COMMUNICATION ENGINEERING 1. LINEAR WAVE SHAPING Aim i) To design a low pass RC circuit for the given cutoff frequency and obtain its frequency response. ii) To observe the response of the designed low pass RC circuit for the given square waveform for T<<RC,T=RC and T>>RC. iii) To design a high pass RC circuit for the given cutoff frequency and obtain its frequency response. iv) To observe the response of the designed high pass RC circuit for the given square waveform for T<<RC,T=RC and T>>RC. Apparatus Required Name of the Specifications Quantity 1KΩ 1 2.2KΩ,16 KΩ 1 Capacitors 0.01µF 1 CRO 20MHz 1 Function generator 1MHz 1 Component/Equipment Resistors Theory A linear network is a network made up of linear elements only. When we transmit a sinusoidal signal through the linear network it preserves its shape .No other period signal like square, pulse, ramp and exponential signal preserve its shape when transmitted through a linear network. The process whereby the form of a non sinusoidal signal is altered by transmission through a linear network is called “linear wave shaping” Low Pass RC Circuit An ideal low pass circuit is one that allows all the input frequencies below a frequency called cutoff frequency f c and attenuates all those above this frequency. A practical low pass circuit as shown in (Fig.1) At zero frequency the reactance of the capacitor is infinity(because the capacitor acts as an open circuit) so the entire input is appear at the output , ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 51 ELECTRONICS & COMMUNICATION ENGINEERING i.e .the input is transmitted to output with zero attenuation. So the output is same as input. So the gain is unity. As the frequency increase the capacitor reactance (Xc=1/2πfC) decrease and so the output decreases. At very high frequencies the capacitor virtually acts as a short –circuit and the out becomes zero. So the circuit is called “Low pass filter”. High Pass RC Circuit An ideal high pass circuit is one that allows all the input frequencies above a frequency called cutoff frequency f c and attenuates all those below the cutoff frequency. A practical high pass circuit as shown in (Fig.2) At zero frequency the reactance of the capacitor is infinity (because the capacitor acts as an open circuit) and so it blocks the entire input and hence the output is zero. As the frequency increase the capacitor reactance (Xc=1/2πfC) decrease and hence the output and gain increases. At very high frequencies the capacitor reactance is very small so the output is equal to input and the gain is equal to 1. So the circuit is called “High pass filter”. Circuit Diagram Fig. 1 Low Pass RC Circuit Fig. 2 High Pass RC Circuit ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 52 ELECTRONICS & COMMUNICATION ENGINEERING Design equations f=1/2πRC for the given cutoff frequency choose R value and calculate C Procedure A) Frequency response characteristics 1 .Connect the circuit as shown in Fig.1 and apply a sinusoidal signal of amplitude of 2V p-p as input. 2. Vary the frequency of input signal in suitable steps of 100 Hz to 1 MHz and measure the peak to peak amplitude of output signal. 3. Obtain frequency response characteristics of the circuit by calculating the gain at each frequency and plotting gain in dB vs frequency in hertzs. 4. Find the cut off frequency fc by noting the value of f at 3 dB down from the maximum gain B) Output response If the time constant of the circuit RC= 0.0198 ms 1. Apply a square wave of 2v p-p amplitude as input. 2. Adjust the time period of the waveform so that T>>RC, T=RC, T<<RC and observe the output in each case. 3. Draw the input and output wave forms for different cases. Readings Table 1 Low Pass RC Circuit Input Voltage, Vi=_____ V(p-p) S.No Frequency O/P Voltage, Vo Gain = 20log(Vo/Vi) (Hz) (V) (dB) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 53 ELECTRONICS & COMMUNICATION ENGINEERING Table 2 High Pass RC Circuit Input Voltage, Vi=______ V(p-p) S.No Frequency O/P Voltage, Vo Gain = 20log(Vo/Vi) (Hz) (V) (dB) Model Graphs and Wave forms Fig. 5 Output response of Low Pass RC circuit for different time constants ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 54 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 6 Output response of high Pass RC circuit for different time constants Precautions 1. Connections should be made carefully. 2. Verify the circuit connections before giving supply. 3. Take readings without any parallax error. Result: Inference Questions 1. Define linear wave shaping? 2. When does the low pass circuit act as integrator? 3. When does the high pass circuit acts as a differentiator? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 55 ELECTRONICS & COMMUNICATION ENGINEERING 2. NON LINEAR WAVE SHAPPING-CLIPPERS& CLAMPERS Aim i) To obtain the output and transfer characteristics of various diode clipper circuits. ii) To verify the output response of different diode clamping circuits Apparatus required Name of the Component/Equipme Specifications Quantity 1KΩ 1 Diode 1N4007 1 CRO 20MHz 1 Function generator 1MHz 1 nt Resistors DC Regulated power 0-30V,1A supply 1 Theory The circuits for which the outputs are non-sinusoidal for sinusoidal inputs are called “Nonlinear wave shaping circuits”. Examples for nonlinear wave shaping circuits are clipper and clamping circuits. Clippers Clipping means cutting or removing a part. The basic action of a clipper circuit is to remove certain portions of the waveform, above or below certain levels as per the requirements. Thus the circuits which are used to clip off unwanted portion of the waveform, without distorting the remaining part of the waveform are called “Clipper circuits or Clippers”. The half wave rectifier is the best and simplest type of clipper circuit which clips off the positive/negative portion of the input signal. The clipper circuits are also called voltage or current limiters, amplitude sectors or slicers. The clippers are mainly classified into two types based on level of clipping. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 56 ELECTRONICS & COMMUNICATION ENGINEERING 1) Single level clippers: In this a single diode is used to perform single-ended limiting at one independent level. 2) Two level clippers: In this a pair of diodes is used to perform double-ended limiting at two independent levels. A parallel, a series, or a series-parallel arrangement may be used. Single level clippers may be a) series diode clippers with or without reference b) shunt diode clippers with or without reference Applications of clippers includes i) Sine to square wave converters ii) Voltage comparators iii) Noise eliminating circuits Circuit diagrams Fig. 1 Positive peak clipper with reference voltage, V=2V Fig. 2 Positive Base Clipper with Reference Voltage, V=2V ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 57 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 3 Negative Base Clipper with Reference Voltage, V=-2V Fig. 4 Negative peak clipper with reference voltage, V=-2v Fig. 5 Slicer Circuit ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 58 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the circuit as per circuit diagram shown in fig.1. Obtain a sine wave of constant amplitude 8Vp-p from function generator and apply as input to the circuit. 2. Observe the output waveform and note down the amplitude at which clipping occurs. 3. Draw the observed output waveforms. 4. To obtain the transfer characteristics apply dc voltage at input terminals and vary the voltage insteps of 1V up to the voltage level more than the reference voltage and note down the corresponding voltages at the output. 5. Plot the transfer characteristics between output and input voltages. 6. Repeat the steps 1 to 5 for all other circuits. Readings Table 1 Positive peak clipper: Reference voltage, V=___v I/p voltage O/p voltage (v) (v) Table 2 Positive base clipper: Reference voltage V= ____v I/p voltage(v) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS O/p voltage(v) 59 ELECTRONICS & COMMUNICATION ENGINEERING Table 3 Negative base clipper: Reference voltage V=___v I/P voltage(v) O/Pvoltage(v) Table 4 Negative peak clipper: Reference voltage V= _____v I/P voltage(v) O/P voltage(v) Table 5 Slicer Circuit I/p voltage(v) O/p voltage(v) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 60 ELECTRONICS & COMMUNICATION ENGINEERING Theoretical calculations Positive peak clipper Vr=2V, Vγ=0.6V When the diode is forward biased Vo =Vr+ Vγ = 2.6v When the diode is reverse biased the Vo=Vi Positive base clipper Vr=2V, Vγ=0.6V When the diode is forward biased Vo=Vr –Vγ = 1.4v When the diode is reverse biased Vo=Vi . Negative base clipper Vr=2V, Vγ=0.6V When the diode is forward biased Vo = -Vr+ Vγ = -1.4v When the diode is reverse biased Vo=Vi . Negative peak clipper Vr=2V, Vγ=0.6V When the diode is forward biased Vo= -(Vr+ Vγ) =-2.6v When the diode is reverse biased Vo=Vi . Slicer When the diode D1 is forward biased and D2 is reverse biased Vo= Vr+ Vγ =2.6V When the diode D2 is forward biased and D2 is reverse biased Vo=-(Vr+ Vγ) =-2.6V When the diodes D1 &D2 are reverse biased Vo=Vi . Model Graphs Output response Transfer Characteristics Fig. 6 Positive peak clipper: Reference voltage V=----V ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 61 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 7 Positive base clipper: Reference voltage V=-----V Fig. 8 Negative base clipper: Reference voltage V=----V ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 62 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 9 Negative peak clipper: Reference voltage V=----V Fig. 10: Slicer Circuit Precautions 1. Connections should be made carefully. 2. Verify the circuit before giving supply. 3. Take readings without any parallax error. Result Inference Questions 1. In the fig.1 if reference voltage is 0v then what will be the output? 2. What are the other names for the clippers? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 63 ELECTRONICS & COMMUNICATION ENGINEERING CLAMPERS Apparatus Required Name of the Specifications Quantity Resistors 10KΩ 1 Capacitor 100uF, 100pF 1 Diode 1N4007 1 CRO 20MHz 1 1MHz 1 Component/Equipment Function generator Theory Clampers Clamping circuits are the circuits, which are used to clamp or fix the extremity of a period wave form to some constant reference level Vr .These are also use.d to add a d.c level as per the requirement to the a.c signals. Capacitor, diode, resistor are the three basic elements of a clamper circuit. The Clamping Circuit Theorem When a signal is transmitted through a capacitive coupling network (RC high – pass circuit), it looses its dc component, and a clamping circuit may be used to introduce a dc component by fixing the positive or negative extremity of that waveform to some reference level. For this reason, the clamping circuit is often referred to as dc restorer or dc reinserter. Classification: Basically clampers are classified in to 1. Negative clampers: In negative clamping, the positive extremity of the waveform is fixed at the reference level and the entire waveform appears below the reference level, i.e. the output waveform is negatively clamped with reference to the reference level. 2. Positive clampers: In positive clamping, the negative extremity of the waveform is fixed at the reference level and the entire waveform appears above the reference level, i.e. the output waveform is positively clamped with reference to the reference level. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 64 ELECTRONICS & COMMUNICATION ENGINEERING The capacitor is essential in clamping circuits. The difference between the clipping and clamping circuits is that while the clipper clips off an unwanted portion of the input waveform, the clamper simply clamps the maximum positive or negative peak of the waveform to a desire level. There will be no distortion of waveform. Circuit Diagrams Fig. 11 Positive peak clamping to 0V Fig. 12 Positive peak clamping to Vr=---- ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 65 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 13 Negative peak clamping to Vr=0v Fig. 14 Negative peak clamping to Vr= -2v Procedure 1. Connect the circuit as per circuit diagram Fig. 11 2. Obtain a constant amplitude sine wave from function generator of 6 Vp-p, frequency of 1 KHz and give the signal as input to the circuit. 3. Observe and draw the output waveform and note down the amplitude at which clamping occurs. 4. Repeat the steps 1 to 3 for all circuits. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 66 ELECTRONICS & COMMUNICATION ENGINEERING Model waveforms Fig. 15 Positive peak clamping to 0V: Fig. 16 Positive peak clamping to Vr=2V Fig. 17 Negative peak clamping to 0V ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 67 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 18 Negative peak clamping to Vr= -2V Precautions 1. Connections should be made carefully. 2. Verify the circuit before giving supply. 3. Take readings without any parallax error. Result Inference Questions 1. What is a clamper? 2. Give some practical applications of clamper. 3. What is the purpose of shunt resistance in clamper? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 68 ELECTRONICS & COMMUNICATION ENGINEERING 3. LOGIC GATES WITH DISCRETE COMPONENTS Aim To construct the basic and universal gates using discrete components and Verify their truth tables Apparatus required Name of the Component/Equipment Specifications Quantity Transistor BC 107 1 Diode IN4007 1 4.7KΩ 2 100KΩ Resistors LED - 1 1 Bread Board - 1 0-30V, 1A 1 Regulated Power Supply Theory 1. OR-GATE OR gate has two or more inputs and a single output and it operates in accordance with the following definitions. • The output of an OR gate is high if one or more inputs are high. When all the inputs are low then the output is low. • If two or more inputs are in high state then the diodes connected to these inputs conduct and all other diodes remain reverse biased so the output will be high and OR function is satisfied. 2. AND-GATE AND gate has two or more inputs and a single output and it operates in accordance with the following definitions. • The output of an AND gate is high if all inputs are high. • If Vin is chosen i.e. more positive than Vcc then all diodes will be conducting upon a coincidence and the output will be clamped to ‘1’. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 69 ELECTRONICS & COMMUNICATION ENGINEERING • If Vr is equal to Vcc then all diodes are cut-off and output will raise to the voltage Vr if not all inputs have same high value then the output of AND gate is equal to Vi (min0). 3. NOT-GATE The NOT gate circuit has a single input input and a single input and perform the operation of negation in accordance with definition, the output of a NOT gate is high if the input is low and the output is low or zero if the input is high or 1. 4. NOR-GATE A negation following on OR is called as NOT-OR gate or NOR gate. As shown in figure if Vo is applied as input signal to the diodes then both diodes are forward biased. Hence no voltage is applied to emitter base junction and total current is passed through the LED and it glows which indicate high or one state. 5. NAND-GATE The NAND gate can be implemented by placing a transistor NOT gate after the AND gate circuit with diodes. These gates are called diode-transistor logic gates. If Vo is applied to input of the diode then the diode D1 and D2 will be forward biased. Hence no voltage applied across base-emitter junction and this junction goes into cut-off region. Hence total current from source Vce will flow through LED and it flows which indicate the one state or high state. Circuit diagrams Fig. 1 OR GATE ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 70 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 2 AND GATE Fig. 3 NOT GATE ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 71 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 4 NOR GATE Fig. 5 NAND GATE ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 72 ELECTRONICS & COMMUNICATION ENGINEERING Truth tables Table 1 AND GATE Inputs Output Table 2 OR GATE Inputs Output A B Y=AB A B Y=A+B 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 Table 3 NOT GATE Table 4 NAND GATE Input Output Inputs A Y= A B 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 Output Y= Table 5 NOR GATE Inputs Output A B 0 0 1 1 0 0 0 1 0 1 1 0 Y= ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 73 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the circuit as per the circuit diagram Fig.1 2. Apply 5V from RPS for logic 1and 0V for logic 0. 3. Measure the output voltage using digital multimeter and verify the truth table. 4. Repeat the same for all circuits. Result Inference Questions 1. What are the universal gates? Why they are called universal gates? 2. What is the other name of the EX-NOR gate? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 74 ELECTRONICS & COMMUNICATION ENGINEERING 4. BISTABLE MULTIVIBRATOR Aim To observe the stable state voltages of Bistable Multivibrator. Apparatus required Name of the Specifications Quantity BC 107 2 2.2KΩ 2 12KΩ 2 0-30V, 1A 1 3 ½ digit display 1 Component/Equipment Transistor Resistors Regulated Power Supply Digital multi meter Theory Multivibrator Multi means many ; vibrator means oscillator. A circuit which can oscillate at a number of frequencies is called a Multivibrator. Each multivibrator has two states. Bistable Multivibrator A bistable multivibrator has two stable states. Each multivibrator is having two coupling elements. In bistable multivibrator circuit both the coupling elements are resistors (i.e. dc couplings). It requires a triggering signal to change from one stable state to another, and another triggering signal for the reverse transition. A bistable multivibrator is also called as a multi, Eccles-Jordan circuit, trigger circuit, scale –of-two toggle circuit, flip-flop, and binary. Circuit Operation The circuit diagram of a fixed bias bistable multivibrator using transistors is as shown in fig. 1. The output of each amplifier is direct coupled to the input of the other amplifier. In one of the stable states transistor Q1 and Q2 is off and in the other stable state. Q1 is off and Q2 is on even though the circuit is symmetrical; it is not possible for the circuit to remain in a stable state with both the transistors conducting simultaneously and caring equal currents. The reason is that if we assume that both the transistors are biased equally and are carrying equal currents i1 and i2 suppose there is a minute fluctuation in the current i1-let us say it increases by a small amount .Then the voltage at the collector of Q1 decreases. This will result in a decrease in voltage at the base of Q2. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 75 ELECTRONICS & COMMUNICATION ENGINEERING So Q2 conducts less and i 2 decreases and hence the potential at the collector of q2 increases. This results in an increase in the base potential of Q1. So Q1 conducts still more and i1 is further increased and the potential at the collector of Q1 is further decreased, and so on. So the current i1 keeps on increasing and the current i 2 keeps on decreasing till Q1 goes in to saturation and Q2 goes in to cut-off. This action takes place because of the regenerative feed –back incorporated into the circuit and will occur only if the loop gain is greater than one. Applications of Bistable Multivibrator 1) It is used as a basic memory element 2) It is used to perform many digital operations such as counting, storing of binary data. 3) It is also used in the generation & processing of pulse type waveform. . Circuit Diagram Fig.1 Bistable Multivibrator Procedure 1. Connect the circuit as shown in Fig.1 2. Verify the stable state by measuring the voltages at two collectors by using multimeter. 3. Note down the corresponding base voltages of the same state (say state-1). 4. To change the state, apply negative voltage (say-2v) to the base of on transistor or positive voltage to the base of transistor (through proper current limiting resistance). 5. Verify the state by measuring voltages at collector and also note down voltages at each base. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 76 ELECTRONICS & COMMUNICATION ENGINEERING Observations Before Triggering Q1 VBE1= VCE1= Q2 VBE2= VCE2= After Triggering Q1 Q2 VBE1= VBE2= VCE1= VCE2= Precautions 1. Connections should be made carefully. 2. Note down the parameters carefully. 3. The supply voltage levels should not exceed the maximum rating of the transistor. Inference Result Questions 1. What do you mean by a bistable circuit? 2. What are the other names of a bistable multivibrator? 3. What do you mean by triggering signal? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 77 ELECTRONICS & COMMUNICATION ENGINEERING 5. ASTABLE MULTIVIBRATOR Aim To observe the ON & OFF states an Astable Multivibrator. Apparatus required Name of the Component/Equipment Transistor Resistors Capacitor Regulated Power Supply Specifications Quantity BC 107 2 3.9KΩ 2 100KΩ 2 0.01µF 2 0-30V, 1A 1 Theory Multivibrator Multi means many ; vibrator means oscillator. A circuit which can oscillate at a number of frequencies is called a Multivibrator. Each multivibrator has two states. Astable Multivibrator An astable multivibrator has no stable state. And it is having two quasi stable states. In astable multivibrator circuit both the coupling elements are capacitors (i.e. ac couplings). And it keeps on switching between these two states by itself. No external triggering signal is needed. The astable multivibrator cannot remain indefinitely in any one of the two states .The two amplifier stages of an astable multivibrator are regenerative across coupled by capacitors. The astable multivibrator may be to generate a square wave of period,1.38RC. The astable multivibrator circuit is used as a master oscillator to generate square waves. It is often a basic source of fast waveforms. It is a free running oscillator. It is called a “Square wave generator”. It is also termed a “Relaxation oscillator”. Circuit Operation The circuit diagram of the collector – coupled astable multivibrator using transistors as shown in fig.1. The collectors of both the transistors Q1 & Q2 are connected to the bases of the other transistors through the coupling capacitors C1 & C2. Since both ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 78 ELECTRONICS & COMMUNICATION ENGINEERING are ac couplings, neither transistor can remain permanently at cut-off. Instead, the circuit has two quasi-stable states, and it makes periodic transistors between these states. Hence it is used as a master oscillator. No triggering signal is required for this multivibrator. The component values are selected such that, the moment it is connected to the supply, due to supply transients one transistor will go into saturation and the other into cut-off, and also due to capacitive coupling it keeps on oscillating between its two quasi stable states. Applications of Astable Multivibrator 1) It is used in Square wave generators 2) It is also used in voltage to frequency converters. Circuit Diagram Fig.1 Astable Multivibrator Procedure 1. Calculate the theoretical frequency of oscillations of the circuit. 2. Connect the circuit as per the circuit diagram. 3. Observe the voltage wave forms at both collectors of two transistors simultaneously. 4. Observe the voltage wave forms at each base simultaneously with corresponding collector voltage. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 79 ELECTRONICS & COMMUNICATION ENGINEERING 5. Note down the values of wave forms carefully. 6. Compare the theoretical and practical values. Calculations Theoretical Values RC= R1C1+ R2C2 Time Period, T = 1.368RC = 1.368x100x103x0.01x10-6 = 93 µ sec Frequency, f = 1/T = 10.75kHz Model waveforms Fig. 2 Output response of Astable Multivibrator Precautions 1. Connections should be made carefully. 2. Readings should be noted without parallax error. Result ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 80 ELECTRONICS & COMMUNICATION ENGINEERING Inference Questions 1.Define stable state ? 2.Define quasi stable state ? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 81 ELECTRONICS & COMMUNICATION ENGINEERING 6.MONOSTABLE MULTIVIBRATOR Aim To observe the stable state and quasi stable state voltages of monostable multivibrator. Apparatus Required Name of the Component/Equipment Transistor Resistors Capacitor Diode CRO Function generator Regulated Power Supply Specifications Quantity BC 107 2 1.5KΩ 2.2KΩ 68KΩ 1KΩ 1µF 0A79 20MHz 1MHz 0-30V, 1A 1 2 1 1 2 1 1 1 1 Theory Multi means many ; vibrator means oscillator. A circuit which can oscillate at a number of frequencies is called a Multivibrator. Each multivibrator has two states. Monostable Multivibrator A monostable multivibrator on the other hand compared to astable, bistable has only one stable state, the other state being quasi stable state. Normally the monostable multivibrator is in stable state and when an externally triggering pulse is applied, it switches from the stable to the quasi stable state. It remains in the quasi stable state for a short duration, but automatically reverse switches back to its original stable state without any triggering pulse. The monostable multivibrator is also called as ‘one shot’ or ‘uni vibrator’ since only one triggering signal is required to reverse the original stable state. The duration of quasi stable state is termed as delay time (or) pulse width (or) gate time. It is denoted as ‘t’ Circuit Operation Under quiescent conditions, the monostable multivibrator will be in its stable state only. A triggering signal is required to induce a transition from the stable state to ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 82 ELECTRONICS & COMMUNICATION ENGINEERING the quasi stable state. Once triggered properly the circuit may remain in its quasi stable state for a time which is very long compared with the time of transition between the states, and after that it will return to its original state. No external triggering signal is required to induce this reverse operation. In monostable multivibrator one coupling element is a resistor & another coupling element is capacitor. When triggered, since the circuit returns to its original state by itself after a time T, it is known as a one shot, single-step, or a univibrator. Since it generates a rectangular waveform which can be used to gate other circuits, it is also called a gating circuit. The circuit diagram for monostable multivibrator is as shown in fig 1. The R1C1 combination is differentiating circuit. Let the pulse width of the triggering signal be tp =1 µs. Circuit diagram Fig.1 Monostable Multivibrator Procedure 1. Connect the circuit as per the circuit diagram as shown in Fig. 1. 2. Verify the stable states of Q1 and Q2 3. Apply the square wave of 2Vp-p , 1KHz signal to the trigger circuit. 4. Observe the wave forms at base of each transistor simultaneously. 5. Observe the wave forms at collectors of each transistor simultaneously. 6. Note down the parameters carefully. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 83 ELECTRONICS & COMMUNICATION ENGINEERING 7. Note down the time period and compare it with theoretical values. 8. Plot wave forms of VB1, VB2, VC1 & VC2 with respect to time . Model waveforms Fig. 2 Output response of Monostable Multivibrator Calculations Theoretical Values Time Period, T = 0.693RC = 0.693x68x103x0.01x10-6 = 47µ sec = 0.047 m sec Frequency, f = 1/T = 21 kHz ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 84 ELECTRONICS & COMMUNICATION ENGINEERING Precautions 1. Connections should be made carefully. 2. Note down the parameters without parallax error. 3. The supply voltage levels should not exceed the maximum rating of the transistor. Inference Result . Questions 1. What are the other names of Mono Stable multivibrator ? 2. Which type of triggering is used in mono stable multi vibrator ? 3. Define transition time? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 85 ELECTRONICS & COMMUNICATION ENGINEERING 7. SCHMITT TRIGGER Aim To observe the output response and transfer characteristics of Schmitt Trigger Apparatus Required Name of the Component/Equipment Transistor Resistors Capacitor CRO Regulated Power Supply Function generator Values/Specifications Quantity BC 107 100Ω 2 1 6.8KΩ 3.9KΩ 2.7KΩ 2.2KΩ 0.01µF 20MHz 30V 1MHz 1 1 1 1 1 1 1 1 Theory Schmitt trigger is an emitter coupled bistable circuit and the existence of only two stable states results from the fact that positive feedback is incorporated into the circuit and from the further fact that the loop gain of the circuit is greater than unity. There are several ways to adjust the loop gain. One way of adjusting the loop gain is by varying Rc1. Under quiescent conditions Q1 is OFF and Q2 is ON because it gets the required base drive from Vcc through Rc1 and R1. So the output voltage is Vo=Vcc-Ic2Rc2 is at its lower level. Until then the output remains at its lower level. With Q2 conducting, there will be a voltage drop across RE = (Ic2+IB2)RE, and this will elevate the emitter of Q1. As the input v is increased from zero, the circuit will not respond until Q1 reaches the cut-in point (at Vi =V1). Until then the output remains at its lower level. With Q1 conducting (for Vi>V1) the circuit will amplify because Q2 is already conducting and since the gain ∆Vo/ ∆Vi is positive, output will rise in response to the rise in input. As Vi continues to rise, C1 and hence B2 continue to fall and E2 continues to rise. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 86 ELECTRONICS & COMMUNICATION ENGINEERING Therefore a value of Vi will be reached at which Q2 is turned OFF. At this point Vo=Vcc and the output remains constant at this value of Vcc, even if the input is further increased. Applications of Schmitt Trigger 1) It is used as an amplitude comparator. 2) It is also used as a squaring circuit. Circuit diagram Fig.1 Schmitt Trigger Procedure 1. Connect the circuit as shown in Fig.1 2. Apply a sine wave of peak to peak amplitude 10V, 1 KHz frequency wave as input to the circuit. 3. Observe input and output waveforms simultaneously in channel 1 and channel 2 of CRO. 4. Note down the input voltage levels at which output changes the voltage level. 5. Draw the graph between voltage versus time of input and output signals. 6. To obtain transfer characteristics apply a dc signal at the input and vary in steps of 1V from 0V to 10V both in forward and reverse direction 7. Identify UTP and LTP from the readings 8. Plot output response and transfer characteristics separately ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 87 ELECTRONICS & COMMUNICATION ENGINEERING Model Graph Fig.2 Output response of Schmitt Trigger Fig.3 Transfer characteristics of Schmitt Trigger Precautions 1. Connections should be made carefully. 2. Readings should be noted carefully without any parallax error. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 88 ELECTRONICS & COMMUNICATION ENGINEERING Result Inference Questions 1. What is the other name of the Schmitt trigger? 2. What are the applications of the Schmitt trigger? 3. Define the terms UTP & LTP? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 89 ELECTRONICS & COMMUNICATION ENGINEERING 8. UJT RELAXATION OSCILLATOR Aim: To observe the output response of UJT Relaxation Oscillator. Apparatus Required Name of the Specifications Quantity 2N 2646 1 220Ω 1 68KΩ 1 120Ω 1 0.1µF 1 0.01µF 1 0.001µF 1 0A79 1 Inductor 130mH 1 CRO 20MHz 1 Function generator 1MHz 1 (0-30V),1A 1 Component/Equipment UJT Resistors Capacitor Diode Regulated Power Supply Theory Many devices such as BJT, UJT, FET can be used as a switch. Here UJT is used as a switch to obtain the sweep voltage. Capacitor C charges through the resistor, R towards supply Voltage, Vbb. As long as the capacitor voltage is less than peak Voltage, Vp, the emitter appears as an open circuit. Vp =η Vbb + Vγ where,η = Intrinsic standoff ratio of UJT, Vγ = Cut in voltage of diode. When the capacitor voltage Vc exceeds voltage Vp, the UJT fires. The Capacitor starts discharging through R1+Rb1. Where, Rb1 is the internal base resistance. As RB1 is assumed negligible and hence capacitor discharges through R 1 . Due to design of R1, this discharge is very fast, and is produces a pulse across R 1 . When the capacitor voltage falls below Vv i.e. Vc=VE=Vv, the UJT gets turned OFF. The capacitor starts charging again. This process is repeated until the power supply is available. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 90 ELECTRONICS & COMMUNICATION ENGINEERING Circuit diagram Fig.1 UJT relaxation oscillator Design equations Theoretical Calculations Vp = Vγ+(R1/ R1 R2 )Vbb =0.7+(120/120+220)10 =8.57V 1. When C=0.1µF Tc =RC ln(Vbb- Vv/ Vbb- Vp) =(68K) (0.1µF) (12/12-8.57) = 3.6ms Td =R1C=(120)( 0.1µ)=12 µsec. 2. When C=0.01µF Tc =RC ln(Vbb- Vv/ Vbb- Vp) =(68K) (0.01µF) (12/12-8.5) = 365µs Td =R1C=(120)( 0.01µ)=1.2 µsec. 3. When C=0.001µF Tc =RC ln(Vbb- Vv/ Vbb- Vp) =(68K) (0.001µF) (12/12-8.5) = 36.5µs Td =R1C=(120)( 0.01µ)=0.12 µsec ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 91 ELECTRONICS & COMMUNICATION ENGINEERING Table 1: Comparison of theoretical and practical values S.NO Capacitance value Theoretical time Practical time (µF) period period 1 0.1 2 0.01 3 0.001 Model graph Fig. 2 Voltage across the capacitor Procedure Procedure 1. Connect the circuit as shown in Fig.1. 2. Observe the voltage waveform across the capacitor, C. 3. Change the time constant by changing the capacitor values to 0.1µF and 0.001 µF and observe the wave forms. 4. Note down the parameters, amplitude, charging and discharging periods of the wave forms 5. Compare the theoretical and practical time periods. 6. Plot the graph between voltage across capacitor with respect to time Precautions 1. Connections should be given carefully. 2. Readings should be noted without parallox error. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 92 ELECTRONICS & COMMUNICATION ENGINEERING Result Inference Questions 1. What do you mean by a) voltage time base generator, b) a current time bas generator. 2. What are the applications of time base generator? 3. What are the methods of generating a time base waveform? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 93 ELECTRONICS & COMMUNICATION ENGINEERING 9. BOOT STRAP SWEEP CIRCUIT Aim To observe the output response of a boot strap sweep circuit. Apparatus Required Name of the Specifications Quantity BC 107 2 220Ω 1 1KΩ 1 470 Ω 1 10Ω 1 100µF 2 1µF 1 0.001µF 1 Diode 2N2222 1 CRO 20MHz 1 Function generator 1MHz 1 Component/Equipment Transistor Resistors Capacitor Regulated Power Supply 0-30V,1A 1 Theory Boot strap sweep generator is a technique used to generate a sweep with relatively less slope error when compared to the exponential sweep. This is achieved by maintaining a constant current through a resistor, by maintain a constant voltage across it. The circuit shown in Fig. 1, is a transistor bootstrap time – base generator. The input to transistor Q1 is gating waveform a monostable multivibrator and the Q1 acts as a switch which should be opened to initiate the sweep. Voltage across resistor is maintained constant (Vce) hence a constant current (Vcc/R) will charge the capacitor C. Transistor Q2 will act as an amplifier with high input impedance and voltage gain ‘1’ (emitter follower). Hence the same sweep which is generated across C will also appear at the output. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 94 ELECTRONICS & COMMUNICATION ENGINEERING Circuit diagram Fig. 1 Bootstrap sweep circuit Wave forms Fig. 2 Output response of Bootstrap sweep circuit ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 95 ELECTRONICS & COMMUNICATION ENGINEERING Design equations TS(max)=RC Assume ‘C’ and find ‘R’ for given maximum sweep Select Rb to provide enough bias for switching transistor Q1 Procedure 1. Connect the circuit as shown in the Fig.1. 2. Apply the square wave input to the circuit (which is generated in the module itself). 3. Observe the output wave form. 4. By varying the input frequency observe the variations in the output. 5. Note the maximum value of sweep and starting voltage. 6. Note the sweep time Ts. Precautions 1. Connections should be given carefully. 2. Readings should be noted without parallox error. Result Inference Questions 1 .What are the other methods of sweep generator? 2. Compare bootstrap and miller sweep generator? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 96 ELECTRONICS & COMMUNICATION ENGINEERING 10. SAMPLING GATES Aim To observe the output response of a bidirectional sampling gate. Apparatus Required Name of the Specifications Quantity BC 107 1 220KΩ 1 5.6KΩ 1 CRO 20MHz 1 Function generator 1MHz 2 0-30V, 1A 1 Component/Equipment Transistor Resistors Regulated Power Supply Theory: Sampling gate is a transmission network in which the output is an exact reproduction of the input during a selected time interval and is zero otherwise. The time interval for transmission is selected by an externally impressed signal which is called the gating signal and is usually rectangular in wave shape. Sampling gates are of two types 1. Unidirectional sampling gates: Unidirectional sampling gates are those which transmit signals of only one polarity. 2. Bidirectional sampling gates: Bidirectional sampling gates are those which transmit signals of both polarities. When gating signal is at it’s lower level transistor is well cutoff and output is Vcc. When gating signal is at its higher level transistor goes into active region so input signal is sampled and appears at output. Sampling gates are also called linear gates, transmission gates or selection circuits. Sampling gates are different from the logic gates. In logic gates there can be any number of inputs and the inputs and output of the logic gates are either pulses or voltage levels and the output is not a reproduction of the input. The output of a sampling gate is an exact reproduction of the input during the selected time interval. The input may be a pulse, square wave, sine wave or any other waveform. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 97 ELECTRONICS & COMMUNICATION ENGINEERING Circuit diagram Fig. 1 Bidirectional Sampling gate using transistor Procedure 1. Connect the circuit as per shown in Fig.1. 2. Generate a control voltage Vc of 4V peak to peak voltage 1KHz and apply it to the circuit. 3. Apply the input signal with a small peak to peak voltage. 4. Observe the output wave form and control voltage, VC simultaneously and note down the parameters of waveforms. 5. Plot the graph between VS, VC and output waveform with respect to time Model wave forms Fig. 2 Input and output wave forms of Bidirectional Sampling gate ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 98 ELECTRONICS & COMMUNICATION ENGINEERING Precautions 1. Connections must be done carefully. 2. Observe the output waveforms with out parallax error Result Inference Questions 1. What are the other names of sampling gates? 2. What do you meant by pedestal? 3. What are the applications of sampling gates? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 99 ELECTRONICS & COMMUNICATION ENGINEERING ADDITIONAL LAB EXPERIMENTS ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 100 ELECTRONICS & COMMUNICATION ENGINEERING 1. ATTENUATORS Aim To design an attenuator circuit and observe different types of compensations for different values of capacitors. Apparatus Required Name of the Specifications Quantity 1kΩ 2 0.1µF, 0.01µF, 1µF 2 CRO 20MHz 1 Function generator 1MHz 1 (0-30)V,1A 1 Component/Equipment Resistor Capacitor Regulated Power Supply Theory Attenuators are resistive networks, which are used to reduce the amplitude of the input signal. The simple resistor combination if Fig.1 in the circuit diagram would multiply the input signal by the ratio α = R2 R1 + R2 independently of the frequency. If the output of the attenuator is feeding a stage of amplification , the input capacitance C 2 of the amplifier will be the stray capacitance shunting the resistor R 2 of the attenuator and the attenuator will be as shown in Figure. And the attenuation now is not independent of frequency. Circuit Diagram Fig. 1 Simple Attenuator ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 101 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 2 Compensated Attenuator Design Equations Theoretical Calculations a) Perfect Compensation Vo (0+)=Vi C1/C1+C2 =5(0.1/0.1+0.1) =2.5V Vo (∞)=Vi R1/R1+R2 =5(1/1+1) =2.5V b) Over Compensation Vo (0+)=Vi C1/C1+C2 =5(1µ/1µ+0.1µ) =4.54V Vo (∞)=Vi R1/R1+R2 =5(1/1+1) =2.5V c) Under Compensation Vo (0+)=Vi C1/C1+C2 =5(0.01µ/0.01µ+0.1µ) =0.45V Vo (∞)=Vi R1/R1+R2 =5(1/1+1) =2.5V ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 102 ELECTRONICS & COMMUNICATION ENGINEERING Procedure 1. Connect the circuit diagram as shown in Fig.1 2. Apply input voltage, VPP from the function generator to the circuit. 3. Observe the output wave form and note down the parameters 4. Connect the circuit diagram as shown in fig.2 5. Apply input voltage, VPP from the function generator to the circuit. 6. Keep the value of C1 = 0.1µF constant. 7. Now keep the value of C1 at 0.1µF for perfect compensation, at 1µF for over compensation and at 0.01µF for under compensation. 8. Observe the output waveforms for each case and note down the values of V0( ∞ ) and V0 (o+). 9. Compare the theoretical and practical values of each case. 10. Draw the graphs for perfect, over and under compensation network. Model Graphs Fig. 3 Perfect Compensation Fig. 4 Over Compensation ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 103 ELECTRONICS & COMMUNICATION ENGINEERING Fig. 5 Under Compensation Precautions 1. Check the connections before giving the power supply 2. Observations should be done carefully Result: Inference Questions 1. What is the purpose of C1 2. What is the condition for perfect compensation? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 104 ELECTRONICS & COMMUNICATION ENGINEERING 2. TRANSISTOR AS A SWITCH Aim To verifying the switching action of a transistor. Apparatus Required Name of the Specifications Quantity BC 107 1 10K 2 5.6KΩ 2 Capacitor 100pF 1 CRO 20MHz 1 Function generator 1MHz 1 0-30V, 1A 1 Component/Equipment Transistor Resistors Regulated Power Supply Theory Transistors are widely used in digital logic circuits and switching applications. In these applications the voltage levels periodically alternate between a “LOW” and a “HIGH” voltage, such as 0V and +5V. In switching circuits, a transistor is operated at cutoff for the OFF condition, and in saturation for the ON condition. The active linear region is passed through abruptly switching from cutoff to saturation or vice-versa. In switching applications, the active region is of no interest. In cutoff region, both the transistor junctions between Emitter and Base and the junction between Base and Collector are reverse biased and only the reverse current which is very small and practically neglected, flows in the transistor. In saturation region both junctions are in forward bias and the values of Vce(sat) and Vbe(sat) are small. Saturation voltages range from a few tenths of a volt to a volt, depending on the transistor type. In saturation condition, the collector current is comparatively large, and is controlled by the external resistance connected in the collector circuit. The basic transistor circuit used in switching operations is called an “Inverter”. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 105 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Operation When the transistor acts as a switch, it is either in cut-off or in saturation. To consider the behavior of the transistor as it makes transitions from one state to other, consider the circuit shown in Fig. 1 which is driven by the pulse waveform. The pulse waveform makes transitions between the voltage levels V2 and V1. At V2 the transistor is at cut-off and at V1 the transistor is in saturation. The input is applied between base and emitter through a resistor. Circuit Diagram Fig.1 Transistor as a switch Procedure 1. Connect the circuit as shown in Fig.1 2. Obtain a constant amplitude square wave from function generator of 5V p-p and give the signal as input to the circuit. 3. Observe the output waveform and note down its voltage amplitude levels. 4. Draw the input and output waveforms ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 106 ELECTRONICS & COMMUNICATION ENGINEERING Model graph Fig.2 Input and output wave forms Theoretical calculations When Vi= +2.5v, the transistor goes into saturation region. So VO=Vce sat=0.3V. When Vi=-2.5v, the transistor is in cutoff region so Vo=Vcc=5v Precautions 1. Connections should be made carefully. 2. Verify the circuit before giving supply voltage. 3. Take readings without any parallax error. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 107 ELECTRONICS & COMMUNICATION ENGINEERING Result Inference Questions 1. What are the limitations of transistor switch? 2. What is the turn on time of a transistor? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 108 ELECTRONICS & COMMUNICATION ENGINEERING 3.COMMON SOURCE AMPLIFIER Aim 1. To design a COMMON - SOURCE amplifier for given specifications. 2. Simulate the designed amplifier. 3. Develop the hard ware for designed amplifier. 4. Compare simulated results with practical results. Apparatus S.No Name Of The Component/Equipment Specifications 1 Field Effect Transistor (BFW10) IGS=10mA PD=300mw VGS= -30V VDG=-30V Electrolytic type Voltage rating= 1.6v Power rating=0.5w Carbon type 0 -1MHZ 20MHZ 0-30V,1Amp 2 Capacitors(designed values) 3 Resistors (designed values) Function Generator Cathode Ray Oscilloscope Regulated Power Supply 4 5 6 Qty 1 3 4 1 1 1 Theory In common source amplifier circuit source terminal is made common to the other two terminals. In common source amplifier circuit input is applied between gate and source and output is taken from drain and source. The coupling capacitors C1 and C2 are used to isolate the D.C biasing from the applied ac signal, and acts as short circuit for the ac analysis. The high frequency characteristics of the FET amplifier are determined by the interelectrode and wiring capacitance. The CS amplifier which provides good voltage amplification is most frequently used. In cascade amplifier input impedance of the second stage acts as shunt across output of first stage and Rd is shunted by Ci. Since the reactance decreases with increasing frequencies, the output impedance will be low at high frequencies, this will result in decreasing the gain at high frequencies. ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 109 ELECTRONICS & COMMUNICATION ENGINEERING Circuit Diagram Fig.1 Common Source Amplifier circuit diagram Design Equations Given data: µ = 50,rd = 46KΩ , gm = 2 m mho, ID = 4 mA, VDs = 8V , VGs = -2V , VDD= 30V , Vgn = 12V 1) To calculate RD&RS Applying Kirchoff’s voltage law to the drain circuit in the diagram VDD = IDRD+VDS+VS VDD = ID (RD+RS)+(VDD/2) (since VDs = IDRs so =VDD/2) RD+RS = Assume Rs = 1KΩ RD = 2) As voltage divider bias in the circuit RGS = R1// R2 Capacitor calculations To provide low reactances almost short circuit at the operating frequency f=1KHZ. XCs = 0.1Rs , Xci =0.1 Rgs, Xco =0.1 Rd ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 110 ELECTRONICS & COMMUNICATION ENGINEERING 3) Xcs = (Rs/10) CS = 1/(2πfXcS) 4) Xci = Rgs/10 Ci = 1/(2πfXc1) 5) Xco = Rd/10 = Co = 1/(2πfXc2) = Standard values RD=____ , Rs = _____ ,RG=_____ , Ci=_____, Co= _____, Cs= ______ Procedure 1. Connect the circuit as per the circuit diagram as shown in Fig.1. 2. Apply supply voltage, VDD of 12V. 3. Now feed an AC signal 20mV at the input of the amplifier with different frequencies ranging from 100HZ to 100 MHZ and measure the amplifier output voltage. 4. Now calculate the gain in decibels at various input signal frequencies. 5. Draw a graph with frequency on X- axis and gain in dB on Y- axis. From graph calculate bandwidth. Tabular Form Simulation ac Input voltage VI =_______mV (peak-peak) S.No Frequency (Hz) Output Voltage(Vo) (Volts-p-p) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS Gain in decibels AV=20 log (Vo/ Vi) 111 ELECTRONICS & COMMUNICATION ENGINEERING Practical ac Input voltage VI =______mV (peak-peak) S.No Frequency (Hz) Output Voltage(Vo) (Volts-p-p) Gain in decibels AV=20 log (Vo / Vi) Model Graph Observations Simulated Practical Maximum gain (Av) Lower cutoff frequency (fL) Upper cutoff frequency (FH) Band width (B.W) = (FH – FL) Gain bandwidth product = Av (B.W) ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 112 ELECTRONICS & COMMUNICATION ENGINEERING Precautions 1. Connections must be made very carefully. 2. Readings should be noted without any parallax error. 3. The applied voltage and current should not exceed the maximum ratings of the given transistor. Inferences Result Questions 1. What is meant by Transconductance with respect to JFET? 2. What are the characteristics of CS amplifier? 3. What is Amplification Factor (µ)? 4. Define operating point? 5. Which component in the circuit effects the gain and bandwidth of an amplifer? ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 113 ELECTRONICS & COMMUNICATION ENGINEERING APPENDIX Name of The Component Specifications/Pin Diagrams * operating point temp-65o to 200o Transistor (BC 107) * IC(max)= 0.2 Amp * hfe (min) = 40 * hfe (max) = 450 Uni Junction Transistor (2N2646) Ic 2.0A(Pulsed) Vce 30V PDISS TSTG TJ 300mW@TC=25ºC -65ºC to +150ºC -65ºC to +125ºC өJC 33ºC/W Diodes Type No Max. Peak Inverse Volts Max RMS Supply Volts Maximum Forward Voltage @ 1Ampere, DC @ 75 0 C Maximum Reverse DC Current @PIV @ 250 C Maximum Dynamic Reverse Current @PIV @750 C ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 1N4001 50 35 1.1 Volts,Peak 1N4007 1000 700 10µA 30µA,Average 114 ELECTRONICS & COMMUNICATION ENGINEERING References: 1. Electronic Devices and circuit theory –Robert L. Boylestad and Louis Nashelsky,Pearson/Printice hall 2. Microelectronic circuits- serda A.S. and K.C. Smith,Oxford University Press 3. Microelectronic circuits analysis analysis and design – M.H. Rashid, PWS Publications 4. Principles of Electronics circuits – S.G .Burns and P.R Bond 5. Pulse and digital circuits- J.Milliman and H.Taub, McGraw-Hill 6. Solid State Pulse circuits-David A.Bell, PHI 7. Pulse and Digital Circuits-A.Anand Kumar, PHI websites: 1. www.google.com 2. www.discovercircuits.com 3. www.datasheetcatlog.com 4. www.dmoz.com 5. www.analog.com/pdc 6. www.datasheetarchive.com 7. www.ti.com ELECTRONIC CIRCUITS AND PULSE AND DIGITAL CIRCUITS 115