Government Engineering College Kozhikode-5 Analog Electronics Lab Manual AI09 407(P) (Version 0.8j - 11-02-2012) Prepared by:- Mohammed Sadik(2010 AEI batch) <sadiqpkp(at)gmail(dot)com> Mansoor M (2008 AEI batch) <mansoormanzu(at)gmail(dot)com> Guided by :- Smt. Subhija(Asst. Professor) Verified by:- Smt. Subhija(Asst. Professor)/ FIX ME / Type set in LATEX 2ε by Mohammed Sadik. Circuit designed in χcircuit by Mohammed Sadik and Mansoor M. Graphs plotted with χcircuit and gnuplot. Platform : GNU/Linux Other free softwares used: GNU Bash, GNU Emacs.. . . . . . This work is licensed under : Creative Commons Attribution-ShareAlike 3.0 License. To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/3.0/ or send a letter to Creative Commons, 444 Castro Street, Suite 900, Mountain View, California, 94041, USA. Thanks to:1. 2. 3. 4. 5. 6. 7. 8. The principal, GECK HOD-Applied Electronics Dr. Reena P(Associate Professor(ECE)) Smt. Subhija madam Najmudheen (Cherumukku) Musthafa M(AEI 2010 Batch) Jithin(AEI 2010 Batch) Jeeson(AEI 2010 Batch) Our sinere Manual, thanks espeially our to everyone lassmates - who have helped 2010 AEI us bath. for the perfetion of this CONTENTS Transistor Circuits 1. 2. 3. 4. 5. 6. 7. Power amplifier circuits - Class B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Schmitt trigger circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 RC phase shift oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12 RC low pass and high pass filters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Astable multivibrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 Bootstrap sweep circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24 Tuned amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Op-Amp Circuits 8. 9. 10. 11. 12. 13. 14. Op-amp - Basic operational circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Measurement of Op-Amp parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 Differentiators and integrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Astable and monostable multivibrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Second order low pass and high pass filter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Wien bridge oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Precision rectifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 PSPICE 15. 15a. 15b. 15c. 15d. 15e. 15f. 15g. 15h. 15i. 15j. PSPICE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Inverting amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56 Non-inverting amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Voltage follower . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 Astable multivibrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Zero crossing detector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 RC low pass filter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 RC high pass filter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 Second order high pass filter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 Frequency response of Op-Amp–Integrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 Frequency response of Op-Amp–Differentiator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 meet me at https://launchpad.net/∼sadiq 3 Experiment 1 CIRCUIT DIAGRAM VCC +6V 470µF + CC D1 R 1k T2 SL100 1N 4001 CC 470µF VO D2 - 1N 4001 T1 SK100 + CC 470µF VS 20Hz 2VPP RL 22Ω R 1k Expected graph I t Vo t 4 Experiment 1 POWER AMPLIFIER CIRCUITS CLASS B AIM To setup and study the working of a complementary symmetry class B push-pull audio power amplifier. COMPONENTS AND EQUIPMENTS REQUIRED Transistors, diodes, capacitors, resistors, potentiometer, bread board, connecting wires, DC source, signal generators and CRO. THEORY In class B power amplifiers, the collector current flows for 180◦ of the input cycle. Class B operation means the Q point is at the cut off. A complementary pair of NPN and PNP transistors with identical characteristics is used in complementary symmetry class B power amplifier. They are connected as emitter follower in push-pull arrangement. “Pushpull” means one transistor drives current through load in one direction(ie, pushing), while the other transistor drives current in opposite direction(ie,pulling). These amplifiers are of less cost and bulkiness due to no need of input transformer for phase splitting. When the input is in +ve half cycle, the base of transistor T2 (NPN) is driven +ve related to emitter. So the transistor becomes in ON state. Where as the other transistor T1 (PNP) is OFF. During the -ve half cycle it happens vice versa. Now the output current flows in the opposite direction and its amplitude is same as that of input due to unit gain. Compensating diodes are used to avoid thermal run away, which is due to the sensitivity of collector current with temperature. The bias current through the diodes must be same as that of the quiescent collector current. That is, diode curves should match with VBE curves of the transistors. Here, the transistor will start conducting only when input is greater than 0.6V. So the output voltage distorts near zero crossing. This distortion is known as ‘cross over distortion’. This can be eliminated by connecting a resistance RB in series with diodes. The voltage developed across the resister drives the transistor into class AB operation. Because the operating point moves towards class A operating point slightly. To couple a lower impedance at low frequency, a high value coupling capacitor is required. 5 Design: Design of class B power amplifier using single power supply: i. Selection of transistors: Select complementary pair transistors SK100 as T1 and SL100 as T2 . 2N3055 and MJ2955 are also high power complementary pair transistors. ii. Selection of diode: Select diodes 1N4001. Diodes and transistors should be made of same material because the diodes are compensating the VBE of transistors. iii. Selection of RL : V2 Output power= 2RpL Vp = Vin = 1V because the amplifier is an emitter follower ∴ 25mW = Then RL = 20Ω use 22Ω std. 1 2RL iv. Design R: The bias current through the compensating diodes ID is same as the ICQ in order to match the diode curves and VBE curves of the transistors. ICQ should be 1 to 5% of ICsat . VCEQ Average current ICsat = πR = πR3 L = 43mA L ID = (VCC − VBE )/2R since ICQ = ID = ICsat × 5% = 2.15mA R = 1.1k, use 1k std. v. Selection of coupling capacitor Cc : RL Cc > Ts , where Ts is the lowest signal frequency. 1 Cc = 2π20R = 360µF . Use 470µF std. L 6 PROCEDURE 1. Test all components. Setup the class B power amplifier circuit using dual power supply as shown in figure. Short the diodes and observe the cross over distortion on CRO screen. 2. Apply an input of low frequency 2Vpp sine wave. Observe the input and output waveforms on the CRO screen. Using the expression Vp2 /2RL , calculate ac power delivered to the load. 3. Repeat the same for class A power amplifier circuit using single power supply. Observe that the cross over distortion is still present slightly. 4. Repeat the experiment for class AB amplifier and observe that the cross over distortion is eliminated. RESULT Class B power amplifier is designed, and is setup on bread board and input and output waveforms are observed on CRO. 7 Experiment 2 VCC 12V 0.1µF C1 RC1 5.6k RB 33k RC2 2.7k R1 VO 22k Q1 BC107 27k Q2 BC107 R2 IE2 Vin 20VPP 2k RE Design: Let Q1 , Q2 = BC 107, VCC = 12V, β = 100, UTP = 6V, LTP = 4V, RE = 2.2k Design of RE : UTP = IE2 RE + VBE = 6V LTP = IE1 RE + VBE = 4V Choose RE = 2.2 Ω IE1 = (4 − 0.7)/2.2 = 1.5mA IE2 = (6 − 0.7)/2.2 = 2.4mA Design of RB : It is current limiting factor gain given by Vin = peak input voltage = 10V VB = maximum voltage at the base of Q2 2.4 IC = 2.4µA IB2min = 2 = hf e 100 10 − 6 ∴ RB = = 33k 120 Design of RC1 and RC2 , where Q1 is ON: VCC − IE1 RE1 − VCEsat RC 1 = I E1 12 − 1.5 × 10−3 × 2.2 − 0.2 = 1.5 × 10−3 = 5.6k 8 Vin − VB IB Experiment 2 SCHMITT TRIGGER AIM To setup a schmitt trigger circuit for a UTP of 6V and an LTP of 4V. COMPONENTS AND EQUIPMENTS REQUIRED Transistor, resistor, capacitors, signal generators, connecting wires, bread board, DC power source, and CRO. THEORY If a cross coupling of bistable multivibrator is removed and its emitter is coupled, it becomes ‘schmitt trigger’. It is a comparator used to convert a periodical random wave to a square wave of same frequency. So schmitt trigger is called a squaring circuit. Output of the schmitt trigger goes to high level when the amplitude of the input signal goes above a pre-determined level called ‘Upper Threshold Point’ or ‘Upper Triggering Point’(UTP). The output goes to low level when the input signal goes below a predetermined level called ‘Lower Threshold Point’ or ‘Lower Triggering Point’(LTP). The schmitt trigger is also known as two level comparator, since it compares the input analog waveform with respect to the preset values UTP and LTP. With no input, transistor Q1 stays in cut off state and Q2 in saturation state. Current IE2 flows through the common emitter resister RE causing a potential drop equal to IE2 RE . Now the minimum voltage required to make Q1 ON(ie,UTP) is equal to VBE1 + IE2 RE . When the input amplitude increases and reaches UTP, Q2 turns ON. Subsequently Q2 turns OFF and the output rises to VCC . Now, current IE2 becomes zero and IE1 starts flowing through RE . The minimum voltage required to hold the transistor Q1 ON(ie,LTP) is equal to VBEcutin + IE1 RE . When the amplitude of the input sine wave becomes less than this, Q1 turns OFF, in turn Q2 turns on and the output voltage drops. RC2 is made smaller than RC1 to make IE2 > IE1 . PROCEDURE 1. Test the components, devices and probes. Setup the circuit. 2. Switch on power supply, and observe VC1 and VC2 without any input. Verify whether VC2 is low and VC1 is high. 3. Apply 20 VP P , 1 kHz sine wave at the input and observe the output waveform. 4. Keep the time/div knob of CRO in x-y mode and feed Vin to the x-channel and Vo to the y-channel. Observe the hysteresis curve on CRO. 9 Where Q2 is ON: VCC − IE2 RE − VCEsat RC 2 = I E2 12 − 2.4 × 10−3 × 2.2k − 0.2 = 2.4 × 10−3 = 2.7k 2.4 IC = 2.4µA = IB flows Q2 = hf e 100 Let IB flows through R1 and 9IB flows through R2 . 9IB R2 =VBE IE2 RE VBE + IE2 RE R2 = 9IB R2 0.7 + 2.4 × 2.2 R2 = 9 × 24 × 10−6 =27k Design of speed capacitor C1 : C1 R2 = CRB2 , where C is base emitter capacitance of the transistor and is kept as per data of BC107, use 4.7pf . 10 RESULT Schmitt trigger circuit for a UTP of 6V and LTP of 4V is set up on a bread board and input and output waveform are observed on CRO. Excpected graphs 11 Experiment 3 CIRCUIT DIAGRAM 0.01µF CC + - VCC 12V 47k R1 RC 2.2k 0.01µF 0.01µF 0.01µF C C C BC107 10k R2 RE 680Ω 4.7k + C - 22µF R R Excpected graph 12 4.7k R 4.7k Experiment 3 RC PHASE SHIFT OSCILLATOR AIM To design and setup RC phase shift oscillator using BJT to generate a sinusoidal waveform of 1KHz frequency. COMPONENTS REQUIRED Transistor, resistors, capacitors, bread board, DC source and CRO. THEORY An oscillator is a circuit that generates ac signals from a dc input. An oscillator requires an amplifier, a frequency selective network and a positive feedback from the output to the input. Barkhausen criterion for sustained oscillator is Aβ = 1, where A is the gain of the amplifier and β be a feedback factor. If a common emitter amplifier is used, there is a 180◦ phase shift between the base and collector voltages. The collector to base Feedback network must introduce an additional phase shift of 180◦ at a particular frequency. Here 3 sections of RC network(phase shift oscillator network) are used so that each section introduce approximate 60◦ phase shift at resonant frequency. F = = 1 q 2πRC 6 + 4RC R 1 √ if RC = R 2πRC 10 1 . 29 Hence the gain should be 29. For this, R hf e >23 + 29 RC + 4 RC R >56 if Rc = R The three sections of network offers a β of Phase shift oscillator useful in the audio frequency range(ie, upto 20KHz). 13 Design i. Output requirements: Sine wave with amplitude 10Vpp and 1KHz ii. Design of the amplifier: Select the transistor BC 107. It can provide a gain more than 29 because its minimum hf e = 100 iii. DC biasing conditions: VCC = 12V, IC = 2mA, VRC = 40% of VCC = 4.8A VRE = 10% of VCC = 1.2V VCE = 50% of VCC = 6V VCC is taken as 20% additional to the required output peak value. iv. Design of RC : VRC = IC RC = 4.8V from this, RC = 2.4k, use 2.2k std. v. Design of RE : VRE = IE RE = 1.2V from this, RE = 600Ω, use 680Ω std. vi. Design of voltage divider R1 and R2 : From the data sheet of BC107, its hf e(min) = 100 IC 2mA IB = = 20µA = hf e 100 Assume the current through R1 = 10IB and that through R2 = 9IB , to avoid loading the potential divider by the bias current. VR2 = voltage across R2 = VBE + VRE = 0.7 + 1.2 = 1.9V 1.9 Also, VR2 = 9IB R2 = 1.9V Then R2 = = 10.6k, use 10k std. 9 × 20 × 10−6 VR1 = Voltage across R1 = VCC − VR2 = 12 − 1.9 = 10.1V 10.1 = 50.5k, use 47k std. Also, VR1 = 10IB R1 = 10.1V s Then R1 = 10 × 20 × 10−6 vii. Design of a frequency selective network: Required frequency of oscillator is 1KHz. 1 q f = = 1KHz. Take R = 4.7k to avoid loading of RC by RC Rc 2πRC 6 + 4 R network. Then C = 0.01µF . Use 4.7k in the last RC stage. viii. Design of bypass capacitors, CE : ie, XCE ≤ RE . 10 Then CE ≥ 1 = 23µF ≈ 22µF (assuming fL = 100Hz) 2π × 10 × 68 14 PROCEDURE Check the transistor. Connect the resistive components and give power supply. Check the dc bias conditions so that transistor must operate in active region. Connect the RC network. VBC should be zero or less. Connect the feedback network and observe the sine wave on CRO screen and measure its amplitude and frequency. Observe the waveform at the base and collector of the transistor simultaneously on CRO screen and notice the phase difference between them. RESULT RC phase shift oscillator using BJT is designed and setup on a bread board and output waveform is observed on CRO. 15 Experiment 4 RC low pass filter RC high pass filter VO R 6.8κ C 0.022µF VO Vin 5VPP R 6.8κ C 0.022µF Vin 5VPP Design Design Let fL = 1KHz Let fH = 1KHz 1 2πRC Let R = 10 times the output impedence of the function generator ie, R = 6000Ω ≈ 6.8k ∴ C = 0.023µF ≈ 0.022µF 1 we have fH = 2πRC Let R = 10 times the output impedence of the function generator ie, R = 6000Ω ≈ 6.8k ∴ C = 0.023µF ≈ 0.022µF we have fL = OBSERVATIONS RC low pass filter RC high pass filter f f log f Vo Gain(dB) 16 log f Vo Gain(dB) Experiment 4 RC LOW PASS AND HIGH PASS FILTERS AIM To design and setup low pass and high pass circuit for a 3dB frequency of 1KHz and study the frequency response. COMPONENTS AND EQUIPMENTS REQUIRED Capacitor, resistor, bread board, signal generator and CRO. THEORY Filters are the network designed to pass only certain frequency band. It can be broadly classified as passive or active filters, according to the device used to implement them, filters can also be classified according to the frequency spectrum it passes. Such as low pass, high pass, band pass and band reject filter. A passive low pass filter is shown in figure, it passes low frequency readily and attenuates high frequencies. Since the reactance of the capacitor C decreases with increase in frequency, at high frequency the capacitor act as virtual short and output falls to zero for a sinusoidal input Vin , the output Vo will decrease with increase in frequency, the magnitude of the ratio of output voltage to input voltage of the circuit is given by 1 2 1 + ffH A= r 1 , Higher cutoff frequency. fH = 2πRC f =Input signal frequency. A high pass filter can be made from the low pass filter by merely interchanging its resister and capacitor. However their values are different from that of a low pass filter. Since the reactance of the capacitor decreases with increase in frequency, the higher frequency in the input region appear at the output with less attinuation than the lower frequency component. The magnitude of the output voltage to input voltage of the circuit is given by 1 A= r 2 1 + ffL 1 fL = 2πRC , Lower cutoff frequency. f =Input signal frequency. 17 Graphs to be plotted RC low pass filter fH ν(Hz) −3dB Av (dB) RC high pass filter fL −3dB Av (dB) 18 ν(Hz) PROCEDURE 1. Setup the circuit and set the input sine-wave volt at 5Vpp and observe the input and output on the two channels of the CRO. 2. Vary the input frequency from 10 Hz to 100KHz or more and note down the output volt in the tabular column. 3. Plot the graph on a semi log graph sheet with f along x-axis and gain in dB along y-axis. 4. Mark a point on the graph sheet at a 3dB less than the maximum gain. Extend the point to the x-axis and mark the lower 3dB frequency. RESULT Designed and setup RC low pass and high pass filters and the waveform are plotted. 1. The 3dB frequency of the RC low pass filter = . . . . . . . . . 2. The 3dB frequency of the RC high pass filter = . . . . . . . . . 19 Experiment 5 Astable multivibrator Vcc +9V RC1 4.7k 82k R1 C1 82k 0.01µF Q1 BC107 RC2 4.7k R2 C2 0.022µF VB1 VB2 20 Q2 BC107 Experiment 5 ASTABLE MULTIVIBRATOR AIM To design and setup an Astable multivibrator using transistors, study its performance and observe the wave form at various points of it. COMPONENTS AND EQUIPMENTS REQUIRED Transistors, resistors, capacitors, bread board and DC supply. THEORY Astable multivibrator is also called free running oscillator. It does not have a stable state. The circuit transmit from one quasi-stable state to the other and back automatically. Depending up on the charging and discharging periods of two timing capacitors. When one transistors is ‘ON’ state, other remains in ‘OFF’ state, both will not be in the same state at the same time. The collector voltage of ON transistor is approximately 0.3V and that of OFF transistor is the Vcc supply. Suppose, transistor Q1 is OFF and transistor Q2 is OFF, then the capacitor C2 (whose left side was at potential - IC2 RC2 ) starts charging to Vcc through R2 and Q2 . When the potential at left side of the capacitor become the cutting voltage(0.6V), Q1 starts conducting after a sudden over shoot in potential at the base of Q1 , it settles at 0.7V, when Q1 conducts, Q2 goes to OFF state due to regenerative action. Thus the time duration in which Q2 remains in ON state(as well as Q1 remains in OFF state) is given by the expression T2 = 0.69R2 C2 . Sudden conduction of Q1 causes a potential drop of IC1 RC1 at the collector of Q1 . This sudden change gets transferred to the base of Q2 causing potential of 0.7V − IC1 RC1 at the right side of the capacitor C1 . Now C1 start to charge to VCC through R1 &R2 . When the potential at the right side of the capacitor C1 reaches cutting voltage, Q2 starts conducting resulting sudden voltage drop of IC2 RC2 transfer from collector of Q2 to the base of Q1 . the base potential of Q1 is then 0.7V − IC2 RC2 . This cycle repeats. Time duration in which Q1 remains ON(as well as Q2 remains in OFF state) is given by the expression T1 = 0.69R1 C1 . 21 Design: Output requirements: A square wave of amplitude 9V, frequency 1KHz and duty cycle = 1/3. Choose transistor BC 107 Take VCC = 9V, since the amplitude of the square wave required is 9V. T = T1 + T2 = 1ms Since duty cycle = 1 T1 = , we get T1 + T2 3 Design of RC1 and RC2 : T1 ≈0.33ms T2 ≈0.66ms VCC − VCE1 sat = 4.35k, use 4.7k std. IC1 sat Take RC1 = RC2 = 4.7k RC 1 = Design of R1 and R2 : The resistors R1 and R2 must be able to provide base current enough to keep the transistors in saturation. IC 2mA IBmin = = = 20µA hf e hf e Consider an over-driving factor of 5, so that transistor will be indeed in saturation. Then actual base current IB = 5IB textmin = 0.1mA VCC − VBE sat R1 = = 83k, use 82k std. for R1 and R2 0.1mA R1 and R2 should be less than hf e RC , condition satisfies in the above design. Design of C1 and C2 : T1 = 0.33ms = 0.69 R1 C1 . Then C1 = 0.006µF, use 0.01µF std. T2 = 0.66ms = 0.69 R2 C2 . Then C2 = 0.02µF, use 0.022µF std. 22 If R1 = R2 = R and C1 = C2 = C, T1 = T2 = 0.693RC The time period of the output signal T = T1 + T2 1.38RC. PROCEDURE 1. Verify the connections of all components, device and probes. 2. Set up the circuit observe the collector and base waveforms of both the transistors. RESULT Designed and set up the Astable multivibrator and the waveforms are plotted. 23 Experiment 6 Bootstrap sweep circuit Vcc D RB 100k 10µF CB - + +10V 1N4001 + C1 47µF R 5.6k Q1 BC107 Q2 BC107 C2 VO 0.1µF Vin RE 4.7k 10VPP -VEE Design: Outupt requirements: Amplitude and time period of sawtooth waveform = 10V, 1ms. DC bias conditions: VCC = 10V, −VEE = −10V, Ic = 2mA Design of C2 : For capacitor, IT = CV, 2 × 10−3 × 1 × 10−3 = C × 10 Then C2 = 0.2µF, use 0.22muF std. Design of R: Since voltage across the resistor R is always constant (VCC ), VCC 10 R= = = 5k, use 5.6k std. I 2 × 10−3 Design of C1 : Since C1 is acting as a voltage source, take C1 = 100C = 100 × 0.22 24 Experiment 6 BOOTSTRAP SWEEP CIRCUIT AIM To set up and study a bootstrap sweep circuit. EQUIPMENTS AND COMPONENTS REQUIRED Transistor, diode, resistor, capacitor, bread boar, signal generator, DC supplies and CRO. THEORY If the charging and discharging currents of capacitor is made constant, the voltage across the capacitor will rise or fall linearly bootstrap circuit achives constant current through the capacitors. When the Vcc supply is switched on, capacitor C1 charges from Vcc supply through diode D. Once the charge is over, the potential at the left side of the capacitor is positive and hence the diode becomes reverse biased. Transistor Q1 act as a high switch and transistor Q2 follows input since it is an emitter follower configuration. When the trigger voltage rises to logic high state, the transistor Q1 will switch to saturation. Now the transistor Q1 is made OFF by applying a negetive going gating pulse. The capacitor ‘C’ charges through R. Then the potential at the base of Q2 increases and emitter of Q2 follows the input since it is a emitter follower. Capacitor will charge with a constant current. Established by the constant potential difference across the resistor R and hence the charging will be very linear. RC time constant will determine the slope of the sweep. For linear charging of the capacitor to Vcc , circuit is designed so that Ts = RC. Resistor R must be a high value resistor. Since the base current of Q2 is depended on it. To provide sufficient base current to transistor Q1 , RB should be less than hF E R. The capacitor C1 must be much higher than C to function as a voltage source. PROCEDURE 1. Verify the condition of all components and setup the circuit. 2. Input trigger must be a square wave or pulse waveform with 1 ms time period. For negative part of the cycle amplitude must be sufficiently high. 3. Observe the trigger waveform and output waveform on CRO screen. 4. Vary RC product and RB and observe the changes in the output waveform. RESULT Designed and set up the bootstrap sweep circuit and the waveform were plotted. 25 Experiment 7 VCC +12V L 10mH R1 33k C 0.2µF CC2 0.01µF 0.01µF CC1 26 CE RL 320Ω 0.01µF VO Vin 100mV R2 47k RE 6k Experiment 7 TUNED AMPLIFIER AIM To design and set up a tuned radio frequency amplifier using descrete components, also to obtain its frequency response and to calculate its Q-factor. COMPONENTS AND EQUIPMENTS Transistor, IFT, resistors, capacitors, bread board, connecting wires, signal generator, DC source and CRO. THEORY Tuned voltage amplifier amplifies the signal of decided frequency and attinuates all other frequencies. The frequency of oscillation is determined by a parallel resonant circuit. A parallel LC circuit provides High impedence at the resonant frequency for f0 = 2π√1LC . The gain of the amplifier is maximum at the center frequency, because of the gain is directly proportional to the impedence of the collector. On either side of the resonant frequency, voltage gain falls. Transistor in the tuned circuit is biased to funtion in class C operation. In a class C amplifier collector current flows for less than half a cycle. The LC circuit produces sine wave at the collector from the half cycles of input signal. The selectivity of the circuit, requency . Q, is given by the expression Q = resonantf bandwidth The #### of the tuned circuit to amplify a narrow band of frequencies makes in ideal for amplifying radio and TV signals. They are widely used as an intermediate frequency stage of radio and tv recievers. Figure shows a single capacitor recievers use standard 455KHz as. If transformer is employed as the LC circuit, radio recieves and standard 455KHz and if a high frequency transistor is used in the ciruit because the frequency of operation is large. PROCEDURE 1. Set up the circuit on the bread board. Check the DC biasing condition using a multimeter, the transistor must lie in cut-off region. VBE should be zero or less. 2. Apply 100mV sine wave from the signal generator to the input of the circuit, keeping a 3MHz or more, measure the output amplitude corresponding to different frequencies and enter it in tabular column. 3. Plot the frequency response characteristics on a graph sheet with gain in dB on y-axis and log f on x-axis. 4. Find the bandwidth and calculate the quality factor of the tuned circuit using respective expression. 27 7 28 RESULT Designed and set up tuned amplifier, Q-factor =. . . . . . . . . Band width=. . . . . . . . . 29 Experiment 8 -OFFSET NULL 1 -1V 2 8 NC 7 V+ 741 IC +1V 3 6 OUT V- 4 5 +OFFSET NULL Inverting amplifier Non-inverting amplifier Rf 10k 2 1k +VCC − + 6 4 VO 1k − Vin 2VPP + 6 -VCC Voltage follower 7 2 6 4 -VCC VO 4 +VCC 741 IC 3 + 3 Vin 2VPP Zero crossing detector 2 7 741 IC -VCC Vin 2VPP +VCC − 2 7 741 IC 3 Rf 10k − +VCC 7 741 IC VO 3 Vin 2VPP 30 + 6 4 -VCC VO Experiment 8 BASIC OPERATIONAL CIRCUIT AIM To 1. 2. 3. 4. design and setup the following basic operational amplifier circuits: Voltage follower Zero crossing detector Non-inverting amplifier Inverting amplifier COMPONENTS AND EQUIPMENTS REQUIRED Power supplies, CRO, function generator, op-amp, resistors, bread board and wires. THEORY Voltage amplifier: Doing a slight change in non-inverting amplifier circuit, a voltage follower circuit can be setup. If Rf = 0, expression for the gain of non-inverting amplifier becomes 1. The name voltage follower came from the fact that the output is the replica of the input is unity gain and no0 change in polarity. This circuit provides very high input impedance and very low output impedance. It is used as a buffer between a high impedance signal source to a low impedance load. Inverting amplifier: This is one of the most popular op-amp circuits. The polarity of the input voltage gets inverted at the output. If a sine wave is fed to the input of this amplifier, the output will be an amplified sine wave with 180◦ phase shift. The gain of the inverting amplifier is given by the expression A = Rf /Ri where Rf is the feedback resistance and Ri is the input resistance. The input resistance of the inverting amplifier is Ri . Inverting amplifier can be used as a scalar because the amplitude of the output can be varied by the resistance Rf or Ri . Non inverting amplifier: This circuit provides a gain to the input signal without any change in polarity. The gain of the non inverting amplifier is given by the expression A = 1 + Rf + Ri . Where Rf is the feedback resistance and Ri is the input resistance. The input resistance of non inverting amplifier is extremely large, typically 100Mω. This is because Vi appears across Ri as the potential difference between input terminal is zero. 31 Design: Voltage follower Circuit is non-inverting. Gain = 1 + Gain must be unity for a buffer Rf = 0 ie, Rf = 0 Then Ri Rf Ri Non-inverting amplifier Gain of non-inverting amplifier A = 1 + Let the gain be 11, so that ratio Take Ri = 1k and Rf = 10k Rf =0 Ri Rf Ri Inverting amplifier Gain of an inverting amplifier A = − Rf Ri Let the required gain be -10 Rf Then = 10 Take Ri = 1k ∴ Rf = 10k Ri Expected Graphs Zero crossing detector Vin +Vsat t −Vsat Voltage follower Vin Vo t t 32 RESULT The basic operational amplifiers: 1. Zero crossing detector 2. Voltage follower 3. Non inverting amplifier 4. Inverting amplifier Are designed and setup on bread board and waveforms are plotted. Expected Graphs Non-inverting amplifier Vin Vo t t Inverting amplifier Vin Vo t t 33 Experiment 9 To measure input offset voltage To measure input bias voltage Rf 10k +15V − 2 741 IC + 3 1k +15V 7 2 6 7 741 IC VO 4 − 3 + -15V To measure input bias current VO -15V 1k 0.01µF 6 4 To measure slew rate 0.01µF 1MΩ +15V 2 +15V 2 − 7 741 IC 3 + 3 6 VO 4 Rf 100k +15V R1 R2 − 7 741 IC 3 100Ω + + 6 4 -15V Vin To measure CMRR 2 7 741 IC -15V 100Ω − 6 4 VO -15V 10Ω Vin 34 VO Experiment 9 MEASUREMENT OF OP-AMP PARAMETERS AIM To 1. 2. 3. 4. 5. measure the following parameters of Op-Amp: Input offset voltage Input offset current Input bias current Common Mode Rejection Ratio(CMMR) Slew rate COMPONENTS AND EQUIPMENTS REQUIRED Op-Amp, resistors, capacitors, bread board, power supply, function generator and CRO. THEORY Input bias current, IB :- The inverting and non inverting terminals of an Op-Amp are two base terminals of the transistors of a differential amplifier. In an ideal Op-Amp nocurrent flows through these terminals. However a small amount of current flows through these terminals which is of the order mA. Input bias current, IB = (IB1 + IB2 )/2 where IB1 andIB2 are the base bias current of the Op-Amp. Input offset current, IO :- The bias current IB1 &IB2 will not be equal in an Op-Amp. Input offset current is defined as the algebraic difference between the current into the inverting and not inverting terminals. Typical and maximum values of offset current are 20A and 200A. Input offset current, IO = |IB1 − IB2 | Input offset voltage, VO :- Even if the input voltage to an Op-Amp is zero, output voltage may not be zero. This is because of the circuit imbalances inside the Op-Amp. In order to compensate this, a small voltage should be applied between the terminals. Input offset voltage is defined as the voltage that must be applied between the input terminals of an Op-Amp to nullify the output voltage. Typical and maximum values of input offset voltage are 2mV and 6mV . CMRR:- It is the ratio of differential mode gain to common mode gain. If a signal is applied common to both, the output of Op-Amp signal will be alternated. CMRR is usually expressed in dB. When an input signal VG is applied, common to both inputs common mode voltage gain Ac = Vo /Vi . Differential mode gain Ad = Rf /Ri . Then CMRR is given by the expression: Ad in dB CM RR = 20 log Ac 35 Calculations i. Input offset voltage: Ri Vio = Vo Ri + Rf V0 = ......... ∴ Vio = . . . . . . . . . ii. Input offset current = IB1 − IB2 Vo = . . . . . . mV Vo = . . . . . . mV IB1 × 1MΩ = . . . . . . mV IB2 × 1MΩ = . . . . . . mV I B1 = .........A I B2 = .........A ∴ Input offset current = |IB1 − IB2 | = . . . . . . . . . A I B1 Input bias current : 2 = .........A I B2 Vo iii. slew rate = = . . . . . . . . . t iv. Ad = ......... Vo Ac = = ......... Vi Ad CMRR = 20 log Ac = ......... 36 Slew rate:- Slew rate is the maximum rate of change of output voltage. It is the measure of fastness of Op-Amp. It is expressed in V /µs. The internal output capacitance prevents sudden rate of output voltage for a sing input. If the slope requirements of the output voltage of the Op-Amp is greater than the slew rate distortion curve. PROCEDURE 1. To find input offset voltage:- Setup the circuit and measure the output voltage. Input offset voltage can be measured using the expression, Vio = Vo Ri /(Rf + Ri ). Where Vo = output voltage and Vio = input offset voltage. Check the Op-Amp to find input offset voltage. Setup the circuit and measure the output voltage. Input offset voltage is given as V = V o Ri Rf + Ri 2. To find input bias current and input offset current:- Setup the circuit and measure the output voltage using the expression Vo = IB1 R and Vo = IB2 R. IB1 orIB2 can be calculated. Then input offset current =IB1 − IB2 . IB1 + IB2 Input bias current = 2 3. To find slew rate:- Setup the circuit. Apply a square wave input of 1V,1KHz. Vary input frequency and observe the output. Increase the frequency until the output gets disturbed. Calculate slew rate by measuring the slope of the output wave. RESULT The following parameters of op-amp is measured. 1. 2. 3. 4. 5. Input offset voltage Input offset current Input bias current Slew rate CMRR = = = = = . . . . . . . . . mV . . . . . . . . . µV . . . . . . . . . µA . . . . . . . . . µs . . . . . . . . . dB 37 Experiment 10 DIFFERENTIATOR Rf 15k Ri =15k 2 C=0.01µF +VCC − 7 741 IC 3 + 6 4 VO -VCC Rcomp =1.5k Design: fL = 1KHz C = 0.01µF Rcomp = Rf ||R1 Take Rf = 15k, Av = 10 Rf 15 = 1.5k = 10 ⇒ R1 = R1 10 INTEGRATOR C= 0.01µF Rf =150k Ri =15k 2 − +VCC 7 741 IC 3 + Rcomp =1.5k Design: 1 fH = 2πRC Take fH = 1KHz C = 0.01µF Rf = 10 R1 = 15k R1 Rf = 10 × 15 = 150k Rcomp = R1 ||Rf = 15k 38 6 4 -VCC VO Experiment 10 DIFFERENTIATOR AND INTEGRATOR AIM To design and setup differentiator and integrator. COMPONENTS AND EQUIPMENTS REQUIRED 741 IC, resistors, capacitor, function generator, power supply and CRO. THEORY Integrator: A voltage integrator is an electronic device performing a time integration of an electric voltage, thus measuring a total electric flux. Integrators are commonly used in wave shaping networks and signal generators. For proper integration, time period T of the signal must be larger than Ri C. The output voltage can be expressed as Z 1 Vo = Vin dt RC Gain and linearity of the output waveform are the two important advantages of open integrators over ordinary integrators. Linearity of the waveform is due to the linear charging of the capacitors. Current through the capacitors is always constant and hence through the input resistance is constant due to constant potential drop across it. Current through input resistor and capacitor is same. A high value resistor is required across the capacitor. At low frequencies of the input voltage, capacitor behaves as a open circuit. In the absence of feedback resistor Rf , OpAmp may saturate at low frequency even for a very low voltage present at the inputs. This is because the open loop gain of Op-Amp is very high. When feedback resistor is connected, the gain will be reduced considerably at low frequencies. At higher frequencies, circuit will behave as an ordinary integrator. In other words, at very low frequencies Rf is effective and at high frequencies C is effective in the feedback path. When the input to an integrator is sine wave, output will be negative cosine wave. If the output is a square wave with duty cycle 50% output will be a triangular wave. Integrator is a first order low pass filter. It permits low frequencies to pass to output. Differentiator: If the input resistance of an amplifier is replaced by a capacitor, it forms a differentiator. The output of this circuit are derivatives of the input. Gain of the differentiator increases with increase in frequency which makes the circuit unstable. This is a drawback at this circuit. The output voltage Vo can be expressed as dVin Vo = −Rf dt 39 Differenciator f log f V0 Integrator Gain(dB) f 40 log f V0 Gain(dB) Differentiator functions as a high pass filter. At high frequency it becomes unstable and breaks into oscillation. Input impedance decreases with increase in frequency which makes the circuit very susceptible to high frequency noise. Both stability and high frequencies noise problems are reduced significantly by the addition of two components Pi and CE . PROCEDURE DIFFERENTIATOR 1. Setup the differentiator circuit, feed Vpp 1ms square wave at the input and observe the output and input in CRO. 2. Repeat the experiment by feeding triangular wave or sine wave at the input and observe the output 3. Feed a sine wave to the input and not down the output amplifier by varying the frequency of the sine wave. Enter it in the tabular column and plot the frequency response curve. INTEGRATOR 1. Setup the integrator circuit. Feed Vpp 1ms square wave at the input and observe the input and output simultaneously on CRO. 2. Vary the dc offset of the square wave input and observe the difference in the output waveform. 3. Repeat the experiment by feeding triangular wave and sine wave at the input and observe the output. RESULT Circuit for differentiator and integrator are designed and set up on bread board and input and output waveforms observed on CRO and frequency response curves are plotted. 41 Experiment 11 Stable multivibrator with 50% of duty cycle 47k 2 +VCC − 741 IC 3 Design 7 + 6 VO 4 0.01µF -VCC 10k T 1+β = RC ln 2 1−β R= ......... R = 47k, R1 = R2 = 10k 10k Astable multivibrator with 10% duty cycle D1 RB 82k D2 RA 10k 2 − 7 741 IC 3 0.01µF + Design +VCC 6 VO 4 -VCC 10k 10k 42 T =1ms, R1 = R2 = 10k T1 =0.1ms, T2 = 0.9ms 1+β T1 =RA C ln 1 − β 1+β T2 =RB C ln 1−β RA =10k, RB = 86k Experiment 11 ASTABLE AND MONOSTABLE MULTIVIBRATOR USING OP-AMP AIM To design and setup an: 1. Astable multivibrator using op-amp for a frequency of oscillation of 1KHz. 2. Monostable multivibrator using op-amp for a pulse width of 1ms. COMPONENTS AND EQUIPMENTS REQUIRED Op-amp, resistor, capacitor,connecting wires, power supply and CRO. THEORY Astable multivibrator:- Astable multivibrator is capable of producing square wave for given frequency, amplitude and duty cycle. The output of the op-amp is forced to swing ### between positive saturation +Vsat and negative saturation −Vsat resulting in a square wave output. This circuit is also called free running multivibrator or square wave generator. The output of the op-amp will be in positive saturation of differential input voltage is negative and vice versa. The differential voltage Vd = Vc − βVsat . Where β is the feedback factor and βVsat is the potential at non inverting terminals of the op-amp. Consider the instant at which Vo = +Vsat . Now the capacitor charges exponentially towards +Vsat through RA . Automatically Vd increases and crosses zero. This happens when Vc = +βVsat . The moment Vd become positive due to further charging of the capacitor. Output charges to −Vsat . Now capacitor starts discharging to zero and recharges towards −Vsat . Now Vd decreases and crosses zero. This happens when Vo = −βVsat . The moment Vd becomes -ve gain output charges to +Vsat . This completes one cycle. 2 The time period ‘T’ of the square wave is T = 2Rc ln 1+β . Where β = R1R+R . If β 1−β 2 is made 12 T = 2.2Rc . Astable multivibrator is particularly useful for the generation of frequency is in the audio frequency range. Higher frequencies are limited by the delay time and slew rate of the op-amp. Monostable multivibrator:- Monostable multivibrator is also called one shot. It has a stable state and a quasi-stable state. The circuit remains in stable states until triggering signal causes a transition to quasi-stable states. After time interval it returns to the stable state. So a signal pulse is generated when a trigger is applied. Consider the instant at which the output Vo = +Vsat . Now the diode D1 damps the capacitor voltage Vc at 0.7V. Feedback voltage available at non inverting terminal is +βVsat . 43 Monostable multivibrator 15k 2 1N4001 D 0.01µF − +VCC 7 741 IC 3 + 6 -VCC Cd 0.1µF VO 4 R1 10k 1N4001 D Rd 8.2k R2 10k 44 T = R1 R = = Design 1 RC ln , T = 1ms 1−β R2 = 10k, β = 0.05,C=0.1µF ......... When the negative giving trigger is applied such that the potential at non-inverting terminal becomes less than 0.7V, the output switches to −Vsat . Now the capacitor charges through R towards Vsat , because the diode becomes biased. When the capacitor voltage becomes more negative than −βVsat . The comparator states charging to +Vsat through R until Vc reaches 0.7V and C becomes damped to 0.7V. The pulse width is given by 1 T = RC ln 1−β approximately. If β = 0.5, T = 0.69RC; The time period of trigger must be larger than the output pulse width,‘T’. The circuit does not respond to a trigger that appear, before the specified output pulse width and here it is called non-retriggerable monostable multivibrator. PROCEDURE Astable multivibrator:1. Verify whether the op-amp is in good condition by writing it as zero crossing op-amp or voltage follower. 2. Setup the astable multivibrator and observe the waveform saturation pin number 6 and 2 of op-amp on CRO and note down their amplitude and frequency. Monostable multivibrator:1. Verify whether the op-amp is in good condition by writing it as zero crossing op-amp or voltage follower. 2. Setup the monostable multivibrator and feed 6Vpp , 300Hz square wave at the trigger input. If the pulse generator available are narrow pulses, limited of square wave. 3. Observe the waveform at pin number 5,6 and 2 of op-amp on a CRO. Note down its amplitude and frequency. RESULT Designed and setup astable and monostable multivibrator. 45 Experiment 12 LPF Design Rf 22k +15V 27k 2 R1 7 741 IC R3 R2 33k − 3 33k + 6 VO 4 RL 10κ -15V C2 0.047µF Vin 2VPP 0.047µF C3 fL = 1KHz 1 fL = √ 2π R2 R3 C2 C3 Av = . . . . . . . . . C2 = C3 = . . . . . . . . . F R2 = R3 = Ri = . . . . . . KΩ Rf = ......... Av = 1 + Ri Ri = . . . . . . . . . Rf = . . . . . . . . . HPF 27k Design Rf 22k R1 +15V 2 0.1µF C2 3 0.1µF C1 R2 Vin 2V PP − 7 741 IC + 6 VO 4 RL 10κ -15V 15κ R2 15κ 46 fH = 1kHz 1 fH = √ 2π R2 R3 C2 C3 Rf = ......... AV = 1 + R1 R1 = 27k Rf = ......... R1 C2 = C3 = 0.01µF R2 = R3 = R = . . . . . . . . . Experiment 12 SECOND ORDER LOW PASS AND HIGH PASS CIRCUIT AIM To design and setup second order low pass and high pass filter. COMPONENTS AND EQUIPMENTS REQUIRED Op-Amp, resistors, capacitors, bread board, connecting wires, dual DC source or 2 DC sources, signal generator and CRO. THEORY Low pass filter:The null off of the second order filter is 40dB/decade. A first order low pass filter can be converted into a second order type simply by using an additional RC network. The gain of the chi-second order is set by R1 and Rf , while the higher cut off frequency. It is determined by R2 , L2 , R3 and L3 are given by the expression fH = 1 2π R2 R3 C2 C3 √ Refer to the circuit diagram. At low frequencies both capacitors appear open and circuit becomes a voltage follower. As the frequency increases, the gain eventually starts to decrease. Second order high pass filter:Second order high pass filter can be considered by constructing from a second order low pass by interchanging the frequency deciding resistors and capacitors. Consider the circuit diagram. At low frequency the capacitors appear open and voltage gain approaches zero. At high frequency the capacitors appear short circuited and circuit become a non-inverting amplifier. The cut of frequency of the filter is given by two expressions. 1 fL = √ 2π R2 R3 C2 C3 If C2 = C3 = C and R2 = R3 = R, then fL = 1 2πRC 47 f Vo log f 20 log Vo Vs 48 PROCEDURE Second order low pass filter 1. Setup the circuit and feed a 2Vpp sin wave from the signal generator. 2. Vary the frequency of sine wave in steps and note down the corresponding output voltage. 3. Mark higher cut of frequency on the graph sheet and calculate the cutoff in dB/decade from graph sheet. Second order high pass filter 1. Setup the circuit and feed 2Vpp sine wave from the signal generator. 2. Vary the frequency of sine wave in steps and note down corresponding output voltage. Plot the frequency response on semi log graph sheet. 3. Mark lower cutoff frequency on the graph sheet and calculate the cutoff in dB/decade from the graph sheet. RESULT Designed and setup the second order low pass and high pass filter circuit. fH = . . . . . . . . . fL = . . . . . . . . . 49 Experiment 13 Rf 47k Ri 1k +15V 2 − 7 741 IC 3 + 6 4 -15V C 0.1µF R1.5κ 0.1µF C R 1.5κ Design The required frequency of the oscillation, fo = 1KHz 1 Given, fo = , C = 0.1µF 2πRC Then, R= 1.6K, use 1.5K std. Rf = ...... Gain = 1 + Ri Take Ri = 1k Then Rf = 2.2k, use 4.7k potentiomenter. 50 VO Experiment 13 WEIN BRIDGE OSCILLATOR AIM To design and setup a wein bridge oscillator using Op-Amp for a frequency of 1KHz. COMPONENTS AND EQUIPMENTS REQUIRED Op-amp, capacitors, resistors, potentiometer, breadboard, connecting wires, DC source and CRO. THEORY Figure shows the wein bridge oscillator using Op-Amp instead of transistor. The OpAmp output is applied as an input volt to the wein bridge oscillator between points A and C. The output of the wein bridge which acts as the feedback network is applied to the Op-Amp input between the points D and B. The R and C components in the frequency sensitive arms of the bridge will decide the 1 . oscillator frequency. The expression for the oscillator frequency is given by fo = 2πRC The oscillator frequency can be varied by varying both the capacitor simultaneously. The amplifiers gain can be changed by changing the value of resistor. Gain of the non-inverting amplifiers is adjusted at A ≥ 3. Wein Bridge acts as the lead-lag RC feedback network. At a particular frequency called frequency of oscillation, the phase shift introduced by the wein bridge by zero degree and feedback factor β = 1/3. PROCEDURE 1. Setup the circuit after verifying whether the Op-Amp is in good condition. 2. Note down the amplitude and frequency of output waveform. RESULT Designed and setup wein bridge oscillator using Op-Amp. 51 Experiment 14 10k 1N4001 D 10k 2 Vin +VCC − 7 741 IC 3 + 4 -VCC 52 D VO 6 1N4001 Experiment 14 PRECISION RECTIFIER AIM To set up the and study a half wave rectifier using Op-Amp. COMPONENTS AND EQUIPMENTS REQUIRED Op-Amp, resistor, diode(1N 4001), bread board, connecting wires, function generator, power supply and CRO. THEORY An inverting voltage follower can be converted into an ideal half wave rectifier by adding two diodes as shown in figure. When Vin is +ve Vo become -ve and the diode gets forward biased. At this moment, diode D2 is reverse biased. When Vin become negative Vo become +ve and diode D2 get forward biased. If a sinusoidal wave is applied at Vin , +ve going ripples appear at output point Vo and -ve going ripples appear at output point V1 . Op-Amp rectifier is also called precision rectifier because it is also to rectify very low amplitude signal. Ordinary diode rectifier need minimum input voltage of the order of cut-in voltage of the diode. Op-Amp rectifier also provide gain. PROCEDURE 1. Verify whether the Op-Amp is in good condition by wiring it on zero crossing detecter or voltage follower. 2. Setup half wave rectifier and feed 100mV Vpp sine wave at the input. 3. Observe the negative going and +ve going half cycles at the output V1 and V2 . RESULT Designed and setup the precission half wave rectifier circuit and obtained the rectified output waveform. 53 54 PSPICE INTRODUCTION PSPICE stands for Simulation Program with Integrated Circuit Emphasis. It is a general purpose circuit program that can be used to simulate and analyse electrical and electronics circuits. The electronic components such as resistors, capacitors, diodes, opamps etc can be used to perform different analysis such as DC analysis, DC sweep operating point etc. The earlier SPICE was available only on main frame computers. In 1984 microsim introduced PSPICE(PC based SPICE) which works on Personal computers. ngSPICE is a free software alternate for PSPICE, which is available on GNU/Linux and other Unix based Operating Systems. 55 Rf 10k Ri =1k +VCC 2 − 7 741 IC Vin 2VPP 3 + 6 4 -VCC 56 VO INVERTING AMPLIFIER AIM To simulate and observe characteristics of inverting amplifier. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for Source IN. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Take transient in that given values. Save the program and simulate. RESULT The simulation output is obtained in a new window. 57 Rf 10k 2 − +VCC 7 741 IC 1k 3 + Vin 2VPP 58 6 4 -VCC VO NON-INVERTING AMPLIFIER AIM To simulate and observe characteristics of non-inverting amplifier. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components you want and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Take transient in that given values. Save the program and simulate. RESULT The simulation output is obtained in a new window. 59 +15V 2 − 7 741 IC 3 + 6 4 -15V Vin 60 VO VOLTAGE FOLLOWER AIM To simulate and observe characteristics of voltage follower. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Take transient in that given values. Save the program and simulate. RESULT The simulation output is obtained in a new window. 61 47k 2 − +VCC 7 741 IC 3 + 0.01µF 6 VO 4 -VCC 10k 10k 62 ASTABLE MULTIVIBRATOR AIM To simulate and observe characteristics of astable multivibrator. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Take transient in that given values. Save the program and simulate. RESULT The simulation output is obtained in a new window. 63 2 − +VCC 7 741 IC 3 Vin 2VPP + 6 4 -VCC 64 VO ZERO CROSSING DETECTOR (COMPARATOR) AIM To simulate and observe characteristics of zero crossing detector. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Take transient in that given values. Save the program and simulate. RESULT The simulation output is obtained in a new window. 65 R 6.8κ C 0.022µF 66 VO Vin 5VPP RC LOW PASS FILTER AIM To simulate and observe characteristics of RC low pass filter. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Save the program and select sweep. Then select diode. Give start frequency=10Hz and end frequency=1MHz. Use Vdc for input then simulate the program. We will get the frequency response. RESULT The simulation output is obtained in a new window. 67 VO R 6.8k C 0.022µF Vin 5VPP 68 RC HIGH PASS FILTER AIM To simulate and observe characteristics of RC high pass filter. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Save the program, select sweep. Then select diode. Give start frequency=10KHz and end frequency=1MHz. Use Vdc for input, then simulate the program. We will get the frequency response. RESULT The simulation output is obtained in a new window. 69 Rf 15k +15V 27k 2 R1 R3 R2 22k 22k − 7 741 IC 3 + 6 -15V C2 0.01µF Vin 2VPP 0.01µF C1 70 VO 4 RL 10κ SECOND ORDER HIGH PASS FILTER AIM To simulate and observe characteristics of second order high pass filter. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Save the program, select ac sweep, take diode, then give start frequency=10Hz and end frequency=1MHz. Use Vac for input. Then simulate the program. We will get the frequency response. RESULT The simulation output is obtained in a new window. 71 C= 0.01µF Rf =150k Ri 15k Vin 2VPP 2 − +VCC 7 741 IC 3 + 6 4 -VCC 72 VO FREQUENCY RESPONSE OF OP-AMP INTEGRATOR AIM To simulate and observe characteristics of frequency response of op-amp integrator. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Save the program, select ac sweep, take diode, then give start frequency=10Hz and end frequency=1MHz. Use Vac for input. Then simulate the program. We will get the frequency response. RESULT The simulation output is obtained in a new window. 73 Rf 15k 2 C 0.01µF +VCC − 7 741 IC 3 + 6 4 -VCC 74 VO FREQUENCY RESPONSE OF OP-AMP DIFFERENTIATOR AIM To simulate and observe characteristics of frequency response of op-amp differentiator. PROCEDURE Go to ‘start’ and then ‘pspice’ of schematics. Take a new page, select the components and place it and complete the circuit on schematics. For ground use AGND. Use ASIN for source. Check the source and select it, make offset=0, magnitude=1V and frequency=1KHz. Give Vdc for pin numbers 7 and 4 of op-amp. Place voltage at input and output of op-amp. Save the program, select ac sweep, take diode, then give start frequency=10Hz and end frequency=1MHz. Use Vac for input. Then simulate the program. We will get the frequency response. RESULT The simulation output is obtained in a new window. 75