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Lab Manual
LINEAR INTEGRATED CIRCUITS LAB
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Lab Manual
1. Measurements of Op-Amp parameters- CMRR, slew rate ,open loop gain,
input and output impedances
2. Inverting and non inverting amplifiers, integrators, and differentiators-
frequency response, comparators- zero crossing detector Schmitt trigger –
precision limiter
3. Instrumentation amplifier - gain ,CMMR & input impedance
4. Single op amp second order LPF & HPF, Narrow band active BPF
5. Active notch filter realization using op- amps
6. Wein bridges oscillator with amplitude stabilization
7. Square ,triangular and ramp generation using op- amps
8. Astable and monostable multi vibrators using IC 555
9. Astable and monostable multi vibrators using op- amps
10.Voltage regulation using Ic 723
11.Realisation of ADCs and DACs
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Lab Manual
1.Measurements of Op-Amp parameters
AIM: To measure the following parameters of an op- amp
1. CMRR
2. slew rate
3. Input bias current
4. Input offset current .
Components and Equipments required: Power supplies, CRO, function
generator, op- amp, resistor ,capacitors & bread board.
THEORY:
1.CMRR- It is the ratio of differential mode gain to common mode gain . If a
signal is applied common to both the inputs of op –amp , signal will be attenuated.
CMRR is usually expressed in dB. When an input signal Vs is applied, common to
both inputs , common mode voltage gain Ac = Vo/Vs. Differential mode gain
Ad = Rf/Ri. Then CMRR is given by the expression CMRR = 20 log (Ad/Ac) in dB
2.Slew rate – slew rate is the maximum rate of rise of output voltage. It is the
measure of fastness of op- amp. It is expressed in V/µs. The internal output
capacitance prevents sudden rise of output voltage for a fast rising input . If the
slope requirements of the output voltage of the op-amp is greater than the slew
rate, distortion occurs.
3.Input bias current IB :
The inverting and non inverting non inverting terminals of an opamp are two
base terminals of the transistors of a differential amplifier. In an ideal op-amp no
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Lab Manual
current flows through these terminals . However , a small amount of current flows
through these terminals which is of the order of nA in bipolar op- amps and pA
for FET pA for FET op-Amps .
Input bias current is defined as the average of the currents entering in to the
inverting and noninverting terminals of an opamp. To compensate for bias
currents, a compensating resistor Rcomp is used. Value of Rcomp is the parallel
combination of the resistors connected to the inverting terminal.
Input Bias current IB = (IB1 + IB2)/2 where IB1 and IB2 are the base bias currents
of the op-amp.
5. Input offset current IOS:
The bias currents IB1 and IB2 are not equal in an opamp. Input offset
current is defined as the algebraic difference between the currents into the
inverting and noninverting terminals . Typical and maximum values of
offset current are 20nA and 200 nA
Input offset current IOS= IB1 - IB2
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Lab Manual
CIRCUIT DIAGRAMS:
RF 100K
R 100Ω 2 +15V
R 100Ω 3
-15V
Vin
100K
Circuit to measure CMRR
+15V
2 7
- 6 Vo
+
3 4
-15V
Circuit to measure slew rate
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Lab Manual
2 +15v
- 7 6
+ Vo
3 4
1M -15v
0.01µF
bias current Ib1
Rf 100k
0.01µF
2
- 6 Vo
+
3
bias current Ib2
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PROCEDURE:
1) Setup the circuit for finding CMRR. Apply a dc signal of 0.5 V at the input and
measure Vo. Calculate CMRR using the expression
CMRR = Vi(Rf/Ri)
Vo
Express CMRR in dB using the expression 20log(CMRR)
2) Feed a square wave to input and calculate slew rate using the expression
SR = ΔVo/t; where ΔVo is the voltage swing and t is the time taken to change
the voltage levels
3)Set up the circuits for measuring input bias current and input offset current.
Measure the output voltage . Using the expression Vo = IB1R and Vo = IB2 R, IB1
and IB2 are calculated. Use the expression
IB = (IB1 + IB2)/2 ,
IOS = IB1 - IB2
RESULT:
Measured the parameters of an Op- Amp.
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Lab Manual
2.Basic Operational Amplifier Circuits
AIM: To design and setup the following basic operational amplifier circuits
1. Inverting and non inverting amplifiers,
2. Integrators, and differentiators
3.Comparators- zero crossing detector
4.Schmitt trigger
Components and Equipments required: Power supplies, CRO, function
generator, op- amp, resistors ,capacitors & bread board.
THEORY:
1 a)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 1800
phase shift. The
gain of the inverting amplifier is given by the expression A = - Rf/Ri where Rf is
the feed back resistance and Ri is the input resistance . Inverting amplifier can be
used as a scalar because the amplitude of the output can be varied by varying either
of the resistors Rf or Ri.
CIRCUIT DIAGRAM:
t
t
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Lab Manual
Rf 10k
+15v
Ri 1K 2 7
- Vo
+
Vin 2Vpp 3 4
-15v
Design:
Gain of an inverting amplifier A = - Rf/Ri
Let the required gain be -10
Then, Rf/Ri = 10 take Ri = 1K, Therefore , Rf = 10k
PROCEDURE:
1. Setup the inverting amplifier on the bread board
2. Feed a 2 Vpp sine wave and observe the input and output
simultaneously on CRO. Verify whether the output is 20Vpp sine
wave with 1800
out of phase with the input.
3. Vary the frequency of the input from 0 to a few MHz. Note down the
output voltage . draw the frequency response characteristics.
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Tabular column and frequency response
20 log vo/vin dB
3 dB
fc Log f
b) 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
impedance of non inverting amplifier is extremely large ,typically100 MΩ.
F (Hz) Vo(volts) Log f 20 log (vo/vin)db
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CIRCUIT DIAGRAM:
t
t
Rf 10k
+15v
Ri 1K 2 7
- Vo
+
Vin 2Vpp 3 4
-15v
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Design:
Gain of non inverting amplifier A =1+ Rf/Ri
Let the required gain be 11
Then, Rf/Ri = 10 take Ri = 1K, Therefore , Rf = 10k
PROCEDURE:
1. Setup the non inverting amplifier on the bread board
2. Feed a 2 Vpp sine wave and observe the input and output
simultaneously on CRO. Verify whether the output is 20Vpp sine
wave in phase with the input.
3. Vary the frequency of the input from 0 to a few MHz. Note down the
output voltage . draw the frequency response characteristics.
Tabular column and frequency response
20 log vo/vin dB
3 dB
fc Log f
F (Hz) Vo(volts) Log f 20 log (vo/vin)db
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2 a) Integrators:
The circuit performs the integration of the input waveform. The output voltage
Vo can be expressed as Vo = -1/RC ∫Vidt +k where k is the constant of the
integration which depends upon the value of Vo at t = 0. The peak of the output
waveform VT is given by the expression VT = VT / 4RC, where T is the time
period of the input square wave . Integrators are commonly used in analog
computers and wave shaping networks.
At low frequencies of the input voltage , capacitor behaves as an open circuit.
Op-amp may saturate at low frequency even for a very low voltage at the input.
This is because the open loop gain is very high . A high value feed back resistor Rf
is connected across the capacitor to prevent the op amp from going saturation.
When Rf is connected , gain will be reduced considerably at low frequencies . At
higher frequencies circuit behaves as an ordinary integrator. In other words at low
frequencies Rf is effective and C is effective at high frequencies in the feed back
path. Integrator is a first order Low pass Filter . It permits low frequencies to pass
to output.
CIRCUIT DIAGRAM:
150K
0.01µF
R 7 +15V
15K - 2
Vin 6 Vo
2Vpp + 3 4
-15V
Integrator
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Wave forms
Vin +V
-V
Vo
VT/4RC
Design:
Let the input frequency be 1 kHz. We have , f = 1/2πRC
Let C = 0.01 µF. Then R = 15.9 k. Use 15k std.
Select RF = 10 R = 150k so that break frequency is 100 hz.
Tabular column and frequency response
F (Hz) Vo(volts) Log f 20 log (vo/vin)db
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20 log vo/vin dB
3 dB
…………………………………….
fc Log f
PROCEDURE:
1. Setup the integrator circuit on the bread board
2. Feed a 2 Vpp 1ms square wave and observe the difference at the
input and output simultaneously on CRO.
3. Vary the dc offset of the square wave and observe the difference in
the output waveform.
4. Repeat the experiment by feeding the triangular wave and sine wave
at the input and observe the output
5. Feed a sine wave to the input and note down the output amplitude by
varying the frequency of the sine wave . Enter it in the tabular column
and plot the frequency curve.
b) Differentiators:
If the input resistance of the inverting amplifier is replaced by a capacitor , it
forms an inverting differentiator . The output of the circuit is the derivative of the
input. Gain of the differentiator increases with increase in frequency which makes
the circuit unstable. This is the drawback of this circuit.
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Lab Manual
The output voltage Vo can be expressed as Vo = -RFCi(dVi/dt).
Differentiator functions as 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.
CIRCUIT DIAGRAM:
Wave forms
Vin +V
-V
Vo R2C2
15K
0.01µF
0.01µF 56K 2 7 +15V
- Vo
+ 6
Vin 2Vpp 3 -15V
4
Differentiator
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Lab Manual
Design:
We have T 2 RFC take T = 1 ms and C – 0.01 µF
Then RF = 15.9k use 15k std
Select T = RiCi = RFCF =1/2πf wher f is the highest frequency to be
differentiated
Take Ci = CF = 0.01 µF
PROCEDURE:
1. Setup the differentiator circuit on the bread board
2. Feed a 2 Vpp 1ms square wave and observe the difference at the
input and output simultaneously on CRO.
3. Repeat the experiment by feeding the triangular wave and sine wave
at the input and observe the output
4. Feed a sine wave to the input and note down the output amplitude by
varying the frequency of the sine wave . Enter it in the tabular column
and plot the frequency curve.
Tabular column and frequency response
F (Hz) Vo(volts) Log f 20 log (vo/vin)db
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20 log( Vo/Vin)dB
3 dB
Log f
Zero crossing detector (ZCD):
It is a comparator that switches the output between +Vsat and – Vsat when
input crosses zero reference voltage. The output is drive into -Vsat when the input
signal passes through zero to positive direction . Conversely, when the input signal
passes through zero to negative direction , the output switches to +Vsat. This
circuit can be used to check whether the op amp is in good condition.
CIRCUIT DIAGRAM:
+15V
2 7
- 6
Vin + 3
4
-15V
Zero crossing Detector
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Wave forms
Vo +Vsat
-Vsat
Vo
+Vsat
Vin
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PROCEDURE:
1. Wire up the op amp as zero crossing detector.
2. Feed a 100mV sine wave at the input and
verify whether the output is square wave swinging from +13V to - 13V
approximately
COMPARATOR:
It is a circuit which compare a signal voltage applies at ona input of an
opamp with a Known reference voltage at the other input. It is basically an
openloop opamp with output ± Vsat.
CIRCUIT DIAGRAM:
+15V
2 7
- 6
Vin + 3
2V 4
-15V
COMPARATOR
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+Vsat
-Vsat -Vsat
Schmitt trigger:
Schmitt trigger is a comparator and it is known as squaring circuit because it
converts an irregular shaped waveform to a square wave. The output voltage
changes state every time when input voltage crosses the threshold levels. The input
voltage at which output switches from + Vsat to – Vsat is called the Upper
triggering point (or upper threshold point ,UTP). The input voltage at which output
switches from _ Vsat to + Vsat is called and lower Triggering point(or Lower
Threshold point, LTP)
These threshold voltages are obtained by the voltage divider R1 – R2. Suppose
the output voltage is +Vsat. Now the voltage across R2 is
VUTP = +Vsat R2/(R1 +R2).
When the input voltage exceeds the voltage across the resistor R2, output goes to
-Vsat. Now the voltage across R2 is VLTP = -Vsat R2/ (R1 + R2). When the input
voltage goes lower than this voltage , output goes to + Vsat.
PROCEDURE:
1. Verify whether the op amp IC is in good condition . This can be done by
using it as ZCD or voltage follower .
2. Set up the ckt one by one . Observe the input and output on the CRO screen
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3. Observe the transfer characteristics .
+15
2 7
- Vo
+ 3
4 -15V
Vin 10K
20Vpp 3.3K
Schmitt Trigger
Vin
+vsat
-3v +3v Vin
+Vsat
-Vsat Vo
Hysteresis curve -Vsat
RESULT:
Designed and setup basic operational amplifier circuits and observed the
waveforms.
-3v
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3.Instrumentation Amplifier
Aim:
To design and setup an instrumentation amplifier using three op amps to
obtain a minimum gain of 3 for the difference of inputs.
Components and equipments required
DC source ,CRO, breadboard , op- Amp, breadboard ,potentiometer and resistors.
Theory:
Instrumentation amplifier s are widely used in data acquisition systems,
remote sensing applications and instrumentation systems to measure temperature
,humidity, light intensity and weight etc. Most of the instrumentation systems use a
transducer in a bridge circuit. Instrumentation amplifier facilities the amplification
of potential difference taking place due to the imbalance of a bridge circuit
proportional to a change in physical quantity . The main features of
instrumentation amplifiers are high gain , high input resistance, high CMRR etc.
Procedure:
1.Set up V1 = 0.5V dc and V2 = 0.4 V dc and measure output voltage on CRO
or using multi meter, keeping RA in minimum position.
2.Repeat the above step by keeping RA in minimum position. Measure the
difference in gain . This is the difference mode gain Ad
3.Feed V1 = V2 = 0.5V and observe the gain keeping RA in minimum
position . This is common mode gain Ac. Calculate CMRR from the relation
CMRR = 20log (Ad /Ac)
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Circuit Diagram:
+15
3 7
6 Ri 10k
V2
2 4 Ri Ri 10k +15V
-15 10k 2 7
- 6 V0
RA +
10k pot Ri 10K 3 4
-15V
+15 Ri Ri 10k
2 7 10k
- 6
3 + 44
V1 4
-15
Design
We have ,Vo = (V1 – V2)[1+(2Ri /RAmax)]
Given, 2 Ri/RAmax = 3. Take R and RA = 10 k
Result:
Common mode gain AC = ………
Difference mode gain Ad = ……... CMRR = …………
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4. SINGLE OP-AMP SECOND
ORDER LFF AND HPF , NARROW BAND ACTIVE BPF
4a)Second order Low pass filter
AIM: To design and set up a second order low pass Butterworth filter for a higher
cutoff frequency of 1 kHz.
Components and Equipments required
Op amp, resistors, capacitors ,dual DC source or two DC sources, signal
generator , Bread board and CRO.
THEORY:
The roll – 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 second order filter is set by R1 and RF, while the higher cut
off frequency fH is determined by R2 , C2 R3 and C3 as a given by the
expression. fH = 1/2π
At low frequencies , both capacitors appear open, and a circuit becomes a voltage
follower . As the frequency increases , the gain eventually starts to decrease .
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CIRCUIT DIAGRAM;
RF 15k
Ri 10k +15V
7
6 V0
R2 22k R3 22k 4
-15v RL 10k
C2 C3 0.01 µF
0.01µF
DESIGN:
Required cutoff frequency fH = 1 kHz
We have fH = 1/2π
Take C2 = C3= 0.01µF . Then R2 = R3= 22K
For R2 =R3 and C2 = C3, the pass band gain AF 1 + RF/R1 must be 1.586.
That is ,RF = 0.586R1 take R1 = 27k. Then RF = 15 .82k . Use 15k
PROCEDURE:
1. Setup the circuit and feed a 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
on a semi log graph sheet.
3. Mark higher cut off frequency on
the graph sheet and calculate the roll off in dB/decade from the graph sheet
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Tabular column and Graph
Vin = 2Vpp
20 log (V0/Vin)dB
-------3dB------------------
Log fH log f
RESULT:
Theoretical fH = ………Hz Observed fH = ……
Theoretical pass band gain = ……. Observed pass band gain = …….
Roll – Off = ………dB/decade
F (Hz) Vo(volts) Log f 20 log (vo/vin)db
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4b) Second order high pass filter
Aim:
Design and setup a second order high pass filter for a lower cut off
frequency of 1 Khz.
Components and equipments required:
Op- amp, resistors , capacitors , dual DC source , signal generator ,bread board and
CRO.
Theory:
A second order high pass filter can be constructed from a second order high pass
filter by interchanging the frequency deciding resistors and capacitors .
Consider the circuit diagram . At low frequencies the capacitors appear open
and voltage gain approaches zero. At high frequencies , the capacitors appear short
circuited and circuit becomes a non inverting amplifier . The cut of frequency of
the filter is given by the expression
If C2 = C3 = C and R2 = R3 = R. then f L = 1/2πRC
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CIRCUIT DIAGRAM:
27k RF 15k
Ri 10k +15V
- 7
2 6 V0
0.01µF 0.01µF 3 4
+ -15v RL 10k
15k 15k
Vin 2V pp
Design :
Required cut off frequency fL = 1 kHz. We have ,
If C2 = C3 = C and R2 = R3 = R . Then fL = 1/2πRC
We have , fL
We have , fL = 1/2πRC
Assume ,C 0.01 F. Then R = 15.9k. Use R2 = R3 15 k std
The pass band gain AF = 1+ RF/R1 = must be 1.586 for butterwort filter.
That is ,RF =0. 586 R1 Take R1 = 27k. Then RF . Then = 15.82k. use 15k
PROCEDURE:
1. Setup the circuit and feed a 2Vpp
sine wave from the signal generator.
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2. Vary the frequency of sine wave
in steps and note down corresponding output voltage . Plot the frequency
on a semi log graph sheet.
3. Mark higher cut off frequency on
the graph sheet and calculate the roll off in dB/decade from the graph sheet
Tabular column and Graph
Vin = 2Vpp
RESULT:
Theoretical fH = ………Hz Observed fH = ……
Theoretical pass band gain = ……. Observed pass band gain = …….
Roll – Off = ………dB/decade
4.cBAND PASS FILTER
AIM:
To design and setup a band pass filter have fo = 1khz,Q = 3, and gain AF = 10
Components and equipments required . Op- amp, resistors ,capacitors ,dual
DC source, signal generator, bread board and CRO
THEORY:
A band pass filter passes a particular band of frequencies with zero
attenuation and attenuates all other frequencies. It is very widely used in analog
and digital communication applications . The classification of narrow band and
wide band filters made based on the quality factor Q. If the quality factor Q<0.5 it
is called as wide band filter and if Q >0.5, it is narrow band filter .
F (Hz) Vo(volts) Log f 20 log (vo/vin)db
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If an LPF having cut off frequency fH is cascaded with HPF having cut off
frequency fL such that fH > fL ,it forms a BPF with band FH - FL . Narrow band
filters are constructed with single stage. Multiple feedback method is used in the
narrow band BPF for which the following relationships are important.
Q = fo/BW = fo/ (fH - fL) where fH = upper cutoff frequency, fL = lower cutoff
frequency, fo = centre frequency and BW = band width
This filter uses only one op -amp in the inverting mode. It has two feedback
paths . To simplify design calculations ,take C1=C2=C
Where is the gain at fo i..e… = R3/2R1. It should satisfy the condition
CIRCUIT DIAGRAM
C1, 0.01µF
Rr 100k
R1 4.7k C1, 0.01µF +15v
2 7 Vo
6
Vv vin 2vpp 3 4
R2 6.2k -15v
R3100k
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Band pass filter
DESIGN:
Take C1= C2= 0.01 µF
R1 = 3/2π(103
)(10-8
) 10 = 4.77k. use 4.7k std
R2 = 3/2π(103
)(10-8
) (18-10 ) = 5.97k. use 6.2 k std
R3 = 3/π(103
)(10-8
) = 95.5k. use 100k std., Use RL = 10k
PROCEDURE:
1. Set up the circuit and feed a 2 Vpp sine wave from the signal
generator
2. Vary the frequency of the sine wave in steps and note down
corresponding output voltage .
3. Plot the frequency response on a semi log graph sheet . mark
the pass band.
4. Tabular column and Graph
Vin = 100mV
F (Hz) Vo(volts) Gain in
dB
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gain in dB
--------------------------- M dB
------------------------------- (M-3)dB
Log f
Log fl logfH
RESULT: Bandwidth :………Hz
5. ACTIVE NOTCH FILTER USING OP- AMPS
Aim: To design and set up a narrow band elimination filter (notch filter)
and to draw the frequency response characteristics.
Components and equipments required Op- amp, resistors ,capacitor s,dual
DC source, signal generator ,bread board and CRO
Theory
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Lab Manual
Band elimination filter is also known as band rejection filter or band
stop filter . Wide band rejection filter can be setup by connecting a low pass
filter and high pass filter in parallel .If an LPF with fL is connected in
parallel. If an LPF with f L is connected in parallel to HPF with f H such
that f H > f L ,it forms a BEF with bandwidth f H - f L.
Narrow band reject filter is also known as notch filter . Notch filter
provides maximum attenuation at the frequency fo = 1/2πRC. This is
achieved by a twin – T RC network. Passive twin – T network has
relatively low figure of merit Q . The Q can be increased by associating
with a voltage follower using op- amp.
Notch filter has wide application in communication field. It is used to
eliminate undesired frequencies. The very common application is to remove
power supply hum occurring at 50 Hz.
PROCEDURE :
Setup the circuit and feed a 2vpp sine wave from the signal generator.
Vary the frequency of the sine wave in steps and notedown the corresponding
output voltage.
Plot the frequency response on the semilog graph sheet.
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CIRCUIT DIAGRAM :
2 7
R 15k R 15k - 6 V0
+
-15V 10K
R/2
2C Notch filter
0.022µ
Design
Required notch frequency fN = 1/2πRC = 1 kHz
Take C = 0.01µF . Then R = 15k.
Take 2C = 0.022µF and R/2 = 8.2k.
F (Hz) Vo(volts) Gain in
dB
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Gain in db
Log fN Log f
RESULT
Designed and setup notch filter plotted the frequency response characteristics
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6.WIEN-BRIDGE OSCILLATOR WITH AMPLITUDE STABILISATION
AIM
To design and set up a Wien-bridge oscillator with amplitude stabilization for
a frequency of 1 kHz.
COMPONENTS REQUIRED
741IC, resistors, capacitor, diode, dc source
CIRCUIT DIAGRAM
R 1.5K Rf 4.7K +15V
2 7
C 0.01µF - 6 VO
+
3 4 D
-15V
BFW10
0.01µF Rs
1.5 Cs 0.01µF 1M
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DESIGN
The frequency needed is 1 kHz.
f0 = 1/2πRC = 1 kHz let C = 0.1µF, then
R= 1.6k. ; R=1.5kstd
For sustained oscillations, 1+ ( Rf/ Ri ) = 3
Select Ri = 1 kΩ and Rf = 2.2k take 4.7k pot
Use Rs = 1M andCs = 0.1µF
THEORY
The Wien bridge oscillator is a circuit for generating low frequency in the
range of 10Hz to about 1MHz. It is widely used in commercial generators. The
basic network forms a bridge in the feedback circuit. That is why it is called as
Wien bridge oscillator. The Wien bridge consists of a series RC circuit and parallel
RC circuit as shown in figure
The circuit shown here uses both negative and positive feedback. Circuit behavior
is strongly affected by whether positive or negative feedback prevails. Here the
feedback factor is found to be of the form β =1/[3+j(f/fo – fo/f)];which is of band
pass nature ,which has a maximum value of 1/3 at f= fo =1/(2πRC).At this point
the loop phase is 0o
.Hence by barkhausen criteria, oscillation will start if A β>1,i.e
if the gain of the amplifier is greater than 3.Hence for the oscillation to start,
initially gain should be greater than 3 slightly and finally it should settle down at a
gain of 3,where the amplitude of oscillation stabilizes. For this we use an
amplitude stabilization circuitry consisting of resistors and diodes.
The frequency of oscillation can be varied by varying the capacitors
simultaneously. These capacitors are variable air-gang capacitors. We can change
the frequency range of the oscillator by connecting different values of resistors.
The Wien bridge oscillator is therefore suitable for audio frequency generators.
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Lab Manual
PROCEDURE
Check the op-amp. Setup the circuit on the breadboard as shown in figure.
Ensure that op-amp is operating as an amplifier of required gain. Observe the
output on the CRO. Adjust the potentiometer to get the sine wave without any
distortion or clipping. The amplitude is almost equal to Vsat.
RESULT:
Designed and setup Wien Bridge oscillator using opamp.
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Lab Manual
7.SQUARE, TRIANGULAR & SAWTOOTH WAVE GENERATORS
AIM:
To design and set up a square with amplitude ± Vsat and triangular wave
with amplitude ± 2.5V for a frequency of 1 KHz
To design and set up a triangular wave generator with amplitude +2.5 V
and a frequency of 2 KHz
To design and set up a saw tooth wave generator with amplitude ± 2.5 V &
for a risetime t1 = 2ms and fall time t2 = 0.2 ms
To design and setup a saw tooth wave generator with amplitude + 2.5 ms
and for a rise time t1 = 1ms and fall time of t2 = 0.1 ms
COMPONENTS AND EQUIPMENT REQUIRED:
IC 741 (2), resistors (5.6-(2), 15K, 1K, 56K), capacitors (0.1µF), diode 1N4001(3),
DC source (±15 V), bread board and CRO
THEORY:
The square wave triangular wave generator uses two operational
amplifiers. One (A1) functions as a comparator and other (A2) as an integrator.
Comparator compares the voltage at point P continuously with the inverting input
that is at 0V. When the coltage at P goes slightly above or below 0V, the output of
A1 is at negative or positive saturation level respectively. At the output of the
comparator we get a square wave with amplitude ± Vsat. Suppose the output of A1
is at positive saturation + Vsat. Since this voltage is the input of the integrator, the
output of A2 will be a negative going ramp. At time t = t1, when the negative going
ramp attains values of –Vramp, the effective voltage at point P is slightly less than
zero. This switches the output of A1 from positive saturation to negative
41
Lab Manual
saturation. During the time when output of A1 is –Vsat, the output of A1 increases
in positive direction till it reaches +Vramp. At this point P is slightly above 0V,
therefore the output of A1 is switched back to positive saturation level +Vsat. The
cycle repeats and generates a triangular waveform. The frequency of triangular
waveform is given by . Peak to peak amplitude is .
In the triangular wave generator with amplitude +Vramp, a diode is
connected in the feedback path. The circuit has 2 op-amps. One A1 functions as a
comparator and the other A2 functions as an integrator. Suppose output of A1 is at
negative saturation –Vsat. Since this voltage is the input of integrator, its output will
be a positive going ramp. Thus one end of the voltage divider is at –Vsat and the
other end at positive going ramp. When the positive going ramp attains a value
Vramp the output of A1 switches from negative saturation too positive saturation.
Since the output of A1 is at positive saturation, then the diode is reverse biased.
Output of A2 is a negative going ramp and when the output of A1 reaches zero, the
output of A1 switches from +Vsat to –Vsat, and the cycle repeats.
In a sawtooth wave generator, the rise time is higher than fall
time or vice versa. A triangular waveform generator can be converted to a
sawtooth by a diode resistor network shown in the circuit. During positive
saturation at output of A1, upper diode D1 conducts and R3’ will be effective. The
current for charging the capacitor will be high if R3’ is effective because R3’< R3”.
Hence the output of A2 which is a negative going ramp with steeper slope and
hence the fall time of a sawtooth wave decreases. Similarly during negative
saturation at output of A1, upper diode D1 is everse biased and lower diode D2
conducts and R3” will be effective. The current through the capacitor will be less
because R3”> R3’. Hence the output o A2 is a positive going ramp with less steeper
slope. Hence the rise time of the sawtooth wave increases.
In a sawtooth wave form generator with amplitude +Vramp , a diode
is connected in the feedback path. It consists of 2 op-amps. One (A1) functions as a
comparator and the other (A2) functions as an integrator. Consider the instant at
which the output of A1 is at negative saturation –Vsat; then the lower diode D2
42
Lab Manual
conducts and R3” will be effective. The output of A2 will be a positive going ramp.
When the output of A2 goes reaches of +Vramp the effective voltage at P is slightly
less than zero. This switches the output of A1 from negative to positive saturation.
When output of A1 is +Vsat , the diode in the feedback path is reverse biased and
upper diode D1 conducts. Therefore the output of A2 is a negative going ramp and
when the ramp reaches zero, the output of A2 switches from +Vsat to –Vsat and the
cycle repeats.
CIRCUITDIAGRAM
DESIGN
Vramp =Vsat R2/R3
Let Vramp= 6V , Vsat= 13V
Then for R2= 1K , R3= = 2.6K Select 2.7K std .
Also time period T =
43
Lab Manual
For T = 0.1 ms
Let C = 0.01 μF, then R1 = = 6.75 K Select 6.8K std
PROCEDURE:
Set up the circuit of square cum triangular wave generator on
the breadboard after checking all components and op-amps. Observe the square
wave output of the first op-amp. Note down the amplitude and frequency of the
square wave Observe the output of the second op-amp which is a triangular wave
Note down the amplitude and frequency of the waveform Set up the triangular
wave generator for amplitude +Vramp , after checking all components and op-amps
Observe the triangular wave form at the output of the second op-amp Note down
the amplitude and frequency of the triangular waveform generator Set up the
circuit of the saw tooth generator on the breadboard after checking all the
components and op-amp Observe the sawtooth waveform at the output of the
second op-amp. Note down the amplitude, time period of rise time & time period
of fall time Set up the circuit of sawtooth wave generator with amplitude +Vramp,
after checking all the components and op-amp. Observe the output waveform at the
output of the 2nd
op-amp Note down the amplitude and time periods of rise and fall
times
Vsawtooth
44
Lab Manual
RESULT:
A square wave generator cum triangular waveform generator was designed and
setup for square wave amplitude = ±Vsat, Triangular wave amplitude = ±2.5V,
Frequency =2 KHz
Observed amplitude of the square wave =
Observed amplitude of the triangular wave =
Observed frequency =
A triangular wave generator is designed and setup for an amplitude +2.5 V and a
frequency of 2 KHz
Observed amplitude of triangular wave =
Observed frequency =
A saw tooth wave generator was designed and setup for an amplitude of 2.5 V, rise
time of 2ms and fall time 0.2 ms
Observed sawtooth amplitude =
Observed rise time =
Observed fall time =
45
Lab Manual
A sawtooth wave form generator was designed and setup for an amplitude of 2.5V,
rise time t1 =1 ms and fall time t2 = 0.1 ms
Observed sawtooth amplitude =
Observed rise time =
Observed fall time =
46
Lab Manual
8. ASTABLE & MONOSTABLE MULTIVIBRATOR USING IC 555
AIM
To design and setup a monostable multivibrator using 555 timer for a pulse-width
of 1ms
COMPONENTS REQUIRED
555 IC, resistors, capacitors, dc source
CIRCUIT DIAGRAM
47
Lab Manual
DESIGN
Take VCC=10 V
Pulse width T = 1.1 RC = 1ms
Let C = 0.1 uf, then R = 9.09 kΩ, select standard value of 10 kΩ
Trigger RiCi=0.016 Tt Take Tt =3ms
For Ri=5.6K, then Ci=0.01 uF
THEORY
The circuit diagram is shown in fig. Here the resistor R and the capacitor C are
external to the chip and their values determine the output pulse-width. The three
equal resistance R inside the chip establish the reference voltages 2Vcc/3 and
Vcc/3 for comparators C1 and C2 respectively.
Before the application of the trigger pulse Vt, the voltage at the trigger input is
high which is equal to Vcc.With this high trigger input , the output of the
comparator C2 will be low causing the FF output Ǭ to be high. Now the discharge
transistor Q1 will be saturated and the voltage across the timing capacitor C will be
essentially zero.
At t=0, application of trigger V t, less than Vcc/3 causes the output of the
comparator C2 to be high. This will set the FF with Ǭ now low. The discharge
transistor will be turned off. Now the timing capacitor charges up towards Vcc via
resistor R, with a time constant τ=RC .When this charging voltages reach the
threshold level of 2Vcc/3,comparator C1 will switch states and its output voltage
will now be high. This causes the FF to reset so that Ǭ will go high. The high value
of Ǭ turns on the discharge transistor Q1.The time duration of quasi-stable state is
given by the equation, T=1.1RC seconds
48
Lab Manual
ASTABLE MULTIVIBRATOR
Initially capacitor C starts charging through RA and RB towards Vcc with a
time constant (RA + RB) C. During this time , R = 0 ,S = 1, Q = 0 the output is
high. When capacitor voltage equal 2/3 Vcc the upper capacitor triggers the control
flipflop so that Q = 1. This makes transistor Q1 ON and capacitor C starts
discharging towards ground through RB and transistor Q1 with a time constant
RBC
During the discharge of the timing capacitor C, as it reaches Vcc/3 the
lower comparator is triggered and at this stages S =1,
R = 0,which turns Q = 0 . This makes transistor Q1, OFF and again capacitor
starts to charge. Thus the capacitor periodically charges and discharges between
2/3Vcc and 1/3 Vcc
The charging period of the capacitor C = 0.69(RA +RB)C`
The discharge period of the capacitor C = 0.69RBC
Vcc
Ra 6.8k
V0
Rb 6.8k
C = 0.1µF 0.01µF
8 4
7 3
555
2
6 1 5
49
Lab Manual
Design.
Take Vcc = 10 v and t = 1ms and td = 0.5ms
We take, tc = 0.69(RA + RB)C and td = 0.69 RBC
RA and RB should be in the range of 1K to 10 k to limit the collector current of the
internal transistor
Take RA = RB = 6.8k
Let C = 0.1µF, and C1 = 0.01 µF
PROCEDURE
1. Set up the circuit after verifying the condition of the IC using analog IC tester.
2. Use positive pulses of amplitude Vcc and frequency 300Hz as the trigger.
3 .Observe the waveforms at pin numbers 3 and 6 of the chip.
4. If pulse generator isn’t available, use square wave generator along with a
differentiator circuit
Output waveforms:
Trigger pulses
50
Lab Manual
Output waveform:
RESULT
Designed and set up a monostable & Astable multivibrator and observed it
output waveforms
51
Lab Manual
9. ASTABLE AND MONOSTABLE MULTI VIBRATORS USING OP- AMPS
Aim:
To design and setup an astable and mono stable multi vibrators using Op
amp for a frequency of oscillation of 1 Khz
Components and equipments required :
Power supplies ,CRO, op amp resistors and capacitors
THEORY:
Astable multi vibrator is capable of producing square wave for given
frequency , amplitude and duty cycle. The output of the op amp is forced to swing
repetitively between positive saturation +vsat and –ve saturation –Vsat , resulting
in a square wave output. The circuit is also called free running or square wave
generator. The output of the op amp will be in positive saturation if differential
input voltage is negative and vice versa.
Astable multi vibrators is particularly useful for the generation of frequency
in the frequency range . Higher frequencies are limited by the delay time and slew
rate of the op amp.
52
Lab Manual
CIRCUIT DIAGRAM:
4.7K
2 7 +15V
Vc - 6
+ V0
0.1µF 3 4
-15V R1 10K
R2 10K
Astable Multivibrator
Vo
+vsat
-Vsat
Vc
+βVsat
+βVsat
741
53
Lab Manual
Design;
Required period of oscillation T = 1ms with duty cycle 50%
Time period T = 2RCln[(1+β)/(1-β)]
Take β = 0.5 and R2 = 10 k. Then R1 = 10 k
When β = 0.5, T = 2.2 Rc. Let C be 0.1µF. Then R = 4.7K
PROCEDURE: Check the op amp and setup the circuit of an astable multi
vibrator on the bread board and observe the output wave forms from pin nos 6 and
2 and measure the amplitude and frequency.
MONOSTABLE MULTI VIBRATOR
Monostable multivibrator is also called one shot. It has a stable state and a quasi
stable state . The circuit remains in stable until trigging signal causes a transition to
quasi- stable state . After a 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
clamps the capacitor voltage VC at 0.7V. Feedback voltage available at no –
inverting terminals is +βVsat. When the negative going trigger is applied such that
the potential at non inverting terminal becomes lass than 0.7V. The output switches
to –Vsat. Now the capacitor charges through R towards –vsat, the diode becomes
reverse biased. When the capacitor voltage more negative than – βVsat , the
54
Lab Manual
comparator switches back to +Vsat, and capacitor C starts charging to +Vsat
through R until Vc reaches 0.7V and C becomes clamped to 0.7V. The pulse width
is given by T = RCln1/(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 appears before the specified output pulse width and hence
it is called non-retriggerable monoshot.
R 15k
+15v
2 7
D1 6
IN4007 C 0.1µF 3
4 _15v R1 10k
Cd 0.01µF
D2
Vin Rd 8.2k R2 10k
20vpp
Monostable Multivibrator
741
55
Lab Manual
Vo
+vsat
-Vsat
Vc
+βVsat
+βVsat
Procedure:
Setup the monostable multivibrator and feed 6Vpp,200Hz square wave at the
trigger input
Observe the waveforms at pin no.6 and 2 of op amp and note down its amplitude
and frequency.
DESIGN:
We have , T= RCln1/1-β. Let β be 0.5. then T = 0.69 RC
Take T = 1 ms and C = 0.1 µF, then R = 14.5 k use 15k std.
Since β = R2/(R1+ R2), R1 = R2= 10 k.
For the differentiating circuit RdCd <<0.16 Tt
Trigger time period should be greater than output pulse width of the multi vibrator
Take trigger time period Tt = 5mS and Cd 0.01 µF. Then Rd = 8.2k
56
Lab Manual
RESULT:
Designed and setup astable and mono stable multi vibrators using Op amp.
57
Lab Manual
10 a.VOLTAGE REGULATION USING IC 723
AIM:
To familiarize with general purpose regulator IC 723 and design and setup a
low voltage regulator for an output voltage of 6V using it.
Components and equipments required:
DC sources ,CRO, bread board ,723IC, capacitors and resistors.
THEORY;
723 Ic is general purpose voltage regulator , which can be adjusted over a wide
range both positive or negative regulated voltage. Though the IC is a low
current device, current can be boosted to provide 10 amperes or more. It has
short circuit protection and no short circuit current limits. It can operate with an
input voltage from 9.5V to 40V and provide output voltage from 2V to 37V. It
provides 150mA output current without external output transistors.
Pin out of 723 DIP
1.NC 4.Inverting input 7.V- 10.Vout 13.Fre.Com
2.Current limit 5. Non inverting input 8.NC 11.Vc 14.NC
3.Current sense 6.Vref 9.Vz 12. V+
58
Lab Manual
723 as low voltage regulator Vref point is connected through a resistance to
the non inverting terminal and the output is feedback to the inverting terminal
of the error amplifier. Error amplifier controls the conduction of series pass
transistor Q1. If the output voltage becomes low, the voltage at the inverting
terminal of error amplifier also goes down. This makes the output of the error
amplifier become more positive ,thereby driving the series pass transistor Q1
more into the conduction. This reduces the voltage across Q1 drives more
current into the load causing voltage across load to increase. Thus the initial
decrease in the load voltage gets regulated.
PROCEDURE:
1. Set up the circuit on a bread board and switch on the input
voltage source.
2. Vary the input voltage from 6V to 15V in steps and note
down the corresponding output voltage in the tabular column.
3. Draw the line regulation graph with Vin along X- axis and
Vo along y –axis. Calculate the percentage line regulation using the
expression
Sv = Change in output voltage/Change in input voltage = ∆Vo/∆Vi
4. Set the input power supply at 9V and vary the rheostat and
note down the corresponding change in output current. Draw the load
regulation characteristics with IL along x – axis and Vo along y- axis.
5. Note the output voltage by disconnecting the rheostat from
the output terminals. It is V NL.
Note the output voltage by adjusting the rheostat to read the rated output current
of 100mA. It is VFL. Calculate the percentage load regulation using the
expression.
59
Lab Manual
CIRCUIT DIAGRAM:
Vin
30V
R1 R3 RL +
1k 2.2k V0
C2 1K 0-10V -
C1 R2 100PF 1A(Rh)
0.1µF 5.6k
Design
Required output voltage Vo = 6V.
Let the current through load resistor RL be 100mA. Then RL = 6V/ 100mA = 60Ω.
Use a rheostat to vary the load current to find load regulation.
Let the current ID through the resistor – divider R1 and R2 be 1 mA.
Hence ,R1 = (Vref – V0)/ID = (7.15 – 6)1mA = 1.1k use 1K std.
R2 =Vo/ ID = 6V/1mA = 6K . use 5.6k std
For stebility R3 = R1R2/(R1+ R2) as per data sheet , 1k<R3<3.52k
Take R3 = 2.2k Choose C1 = 0.1 µF and C2 = 100pF
12 11
6 10
723
5 4
7 13
V
A
60
Lab Manual
Line regulation
IL = 100mA Vo(volts)
Vin Volts Vo Volts
6V Vin(volts)
Load regulation Vo(volts)
Vin = 9V
……………………
IL 100mA
RESULT:
Designed and setup a low voltage regulator for an output voltage of 6V.
IL mA Vo Volts
61
Lab Manual
10.b HIGH VOLTAGE REGULATOR USING 723 IC
Aim
To design and set up a voltage regulator for 12V output.
Components and equipments required
DC sources, CRO, bread board, 723 IC, capacitor and resistors.
Theory
In order to produce regulated output voltage greater than 7V , a small change
should be made in the circuit for low voltage regulator. The non inverting terminal
is connected directly to Vref through R3. So the voltage at the non inverting
terminal is Vref. The error amplifier operates as a non inverting amplifier with a
voltage gain of Av = 1+R1/R2., Notice that Av is always greater than 1. So the
output voltage of the circuit is Vo = 7.15(1+R1/R2).
Procedure
1.Set up the circuit on a bread board and switch on the input voltage source.
2.Vary the input voltage from 15V to 30V in steps and note down the
corresponding output voltage in the tabular column.
3.Draw the line regulation graph with Vin along X- axis and Vo along y –axis.
Calculate the percentage line regulation using the expression
Sv = Change in output voltage/Change in input voltage = ∆Vo/∆Vi
4.Set the input xpower supply at 15V and vary the rheostat and note down the
corresponding change in output current. Draw the load regulation
characteristics with IL along x – axis and Vo along y- axis.
5.Note the output voltage by disconnecting the rheostat from the output
terminals. It is V NL.
62
Lab Manual
Note the output voltage by adjusting the rheostat to read the rated output current
of 100mA. It is VFL. Calculate the percentage load regulation using the
expression.
30V
R3
10k R1 10k +
RL -
100pF 1k, 1A 10V
R2 15k +1A
Design
Required output voltage Vo = 12V.
Let the current through load resistor RL be 100mA. Then RL = 12V/ 100mA =
120Ω.
Use a rheostat to vary the load current to find load regulation.
Vo is given by the expression, Vo = 7.15(1 + R1/R2)
Take R1 = 10K. Then R2 = 17.7k. Use 15k std.
Take RL = 1k rheostat and C = 100pF
12 11
6 10
723
5 4
7 13
V
A
63
Lab Manual
Line regulation
IL = 100mA Vo(volts)
Vin Volts Vo Volts
6V Vin(volts)
Load regulation Vo(volts)
Vin = 9V
……………………...
Result
Designed and setup a high voltage regulator for an output voltage of 12V
IL mA Vo Volts
64
Lab Manual
11.GENERATION AND DEMODULATION OF PWM AND PPM
Aim : To design and setup a Pulse Width Modulator and Pulse Position Modulator
Components and Equipments required:
555 IC, resistors ,capacitors , DC power source, signal generator, diode, bread
board and CRO.
THEORY:
PWM is also known as Pulse Duration Modulation or Pulse length
modulation . It utilizes the advantages of constant amplitude pulses. In PWM,
width of the pulses is varied according to the amplitude of AF signal.
Basic principle of operation of this circuit is nothing but varying the period
of the monostable multivibrator according to the AF input. Consider the internal
diagram . The upper comparator input output goes to logic high state when the
voltage at the non inverting terminal is more than the voltage at inverting terminal.
Since the AF is coupled to the control voltage terminal of 555 using a capacitor ,it
sits on this 2/3 Vcc. That means that the voltage at the control terminal goes up or
down with repect to 2/3 Vcc by an amount of AF signal peak. Thus the peak to
which capacitor charges also vary thus the width of output pulse varies
PROCEDURE:
Setup the circuit and verify whether 555 is working as a monostable
multivibrator.
Apply modulating signal and observe the output.
CIRCUIT DIAGRAM;
65
Lab Manual
Design:
Take Vcc = 10 V and T =1.5ms. WE have T = 1.1RC
Take C = 0.1µF, then R = 13.6 k use 15k std.
For the triggering circuit RC <<0.0016Tt , where Tt is the time period of carrier .
Tt = 2 ms. Takr Ri = 1k. Then Ci = 0.1µF.
Use 10K resistor and 10 µF capacitor for AC oupling.
Wave forms:
Modulating
input
t
Carrier t
Input
PWM
output t
66
Lab Manual
In PPM , position of the carrier pulse from a reference position is varied according
to the modulating signal . The trailing edge of the PWM signal initiates the
beginning of the PPM pulses.
PPM demodulation is done by converting PPM to PWM first and then to anlog
output. PPM to PWM conversion is done by an RS flip flop using two NAND
gates. Clock pulses and PPM signal are fed to S and R respectively. Finally , PWM
signal is converted to analog input using an integrator.
CIRCUIT DIAGRAM;
Design;
Here both 555ICs function as monostable multivibrators. First monostable
multivibrator generates PWM output.
Take Vcc = 10 V and T = 1.5ms
We have T = 1.1RC
Take C = 0.1µF. Then R = 13.6k. Use 15k,Choose C1 = 0.01µF.
Triggering circuit RTCT 0.016Tt where Tt is the time period of carrier = 2 mS
Take RT = 1k. Then CT ≈ 0.1µF
Select coupling capacitor Cc = 10 µF
PROCEDURE:
Set up the PWM circuit , feed the modulating signal sin wave having amplitude
10 Vpp .100Hz and carrier signal as trigger having amplitude 10Vp,500Hz.
Observe the PWM signal output.
67
Lab Manual
Setup the second monostable circuit and feed the PWM output to it and observe the
PPM output.
Wave forms:
Modulating
input
t
Carrier t
Input
PWM
output t
PPM t
Output
68
Lab Manual
RESULT:
Designed and setup PWM and PPM circuit
69
Lab Manual
STUDY OF ADC AND DAC ICs
Aim : To study the function of ADC and DAC IC.
Components and equipments required
ICs ADC0800, DAC0800, resistors, capacitors, dc supply and bread boaed.
Theory : The ADC0800 is an 8-bit monolithic ADC using p- channel ion
implanted MOS technology. It consists of a high input impedance comparator, 256
series resistors and analog switches, control logic and output latches. Conversion is
performed using a successive approximation technique where the analog voltage is
compared using analog switches. When the appropriate tie point voltage matches
the unknown voltage, conversion gets completed. The digital output contain an 8-
bit complimentary binary corresponding to the unknown voltage. The binary
output is tristate to permit using one common data lines.
DAC0800 is a 16 pin IC. Its resolution is 1 paert in 256. The accuracy
is defined as the percentage of full scale or maximum output voltage.
It is an 8-bit current output multiplying DAC with setting time of
100ns., input compatible with most of the logic families, power supply required is
5V to 18V. To provide a corresponding output voltage for the current output of
DAC 0800 a current to voltage converteris used. When unipolar output voltage is
required, Vref is grounded and when bipolar output voltage is required, Vref is
connected to +10V.
70
Lab Manual
CIRCUIT DIAGRAM
+5V Vin -12 -5V
Clock
MSB
B8 B7 B6 B5 B4 B3 B2 B1
B8 B7 B6 B5 B 4 B3 B2 B1 +10V
MSB 10K
10K
4.7K
VO
+15V
0.1µF -15V 0.1µF
RESULT:
15 10 12 8 5
11
18 ADC0800
13 14 15 16 1 2 3 4
5 6 7 8 9 10 11 12
14 4
15
ADC0800 2
3 18 16 13 1
4

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Lic lab manual

  • 2. 2 Lab Manual 1. Measurements of Op-Amp parameters- CMRR, slew rate ,open loop gain, input and output impedances 2. Inverting and non inverting amplifiers, integrators, and differentiators- frequency response, comparators- zero crossing detector Schmitt trigger – precision limiter 3. Instrumentation amplifier - gain ,CMMR & input impedance 4. Single op amp second order LPF & HPF, Narrow band active BPF 5. Active notch filter realization using op- amps 6. Wein bridges oscillator with amplitude stabilization 7. Square ,triangular and ramp generation using op- amps 8. Astable and monostable multi vibrators using IC 555 9. Astable and monostable multi vibrators using op- amps 10.Voltage regulation using Ic 723 11.Realisation of ADCs and DACs
  • 3. 3 Lab Manual 1.Measurements of Op-Amp parameters AIM: To measure the following parameters of an op- amp 1. CMRR 2. slew rate 3. Input bias current 4. Input offset current . Components and Equipments required: Power supplies, CRO, function generator, op- amp, resistor ,capacitors & bread board. THEORY: 1.CMRR- It is the ratio of differential mode gain to common mode gain . If a signal is applied common to both the inputs of op –amp , signal will be attenuated. CMRR is usually expressed in dB. When an input signal Vs is applied, common to both inputs , common mode voltage gain Ac = Vo/Vs. Differential mode gain Ad = Rf/Ri. Then CMRR is given by the expression CMRR = 20 log (Ad/Ac) in dB 2.Slew rate – slew rate is the maximum rate of rise of output voltage. It is the measure of fastness of op- amp. It is expressed in V/µs. The internal output capacitance prevents sudden rise of output voltage for a fast rising input . If the slope requirements of the output voltage of the op-amp is greater than the slew rate, distortion occurs. 3.Input bias current IB : The inverting and non inverting non inverting terminals of an opamp are two base terminals of the transistors of a differential amplifier. In an ideal op-amp no
  • 4. 4 Lab Manual current flows through these terminals . However , a small amount of current flows through these terminals which is of the order of nA in bipolar op- amps and pA for FET pA for FET op-Amps . Input bias current is defined as the average of the currents entering in to the inverting and noninverting terminals of an opamp. To compensate for bias currents, a compensating resistor Rcomp is used. Value of Rcomp is the parallel combination of the resistors connected to the inverting terminal. Input Bias current IB = (IB1 + IB2)/2 where IB1 and IB2 are the base bias currents of the op-amp. 5. Input offset current IOS: The bias currents IB1 and IB2 are not equal in an opamp. Input offset current is defined as the algebraic difference between the currents into the inverting and noninverting terminals . Typical and maximum values of offset current are 20nA and 200 nA Input offset current IOS= IB1 - IB2
  • 5. 5 Lab Manual CIRCUIT DIAGRAMS: RF 100K R 100Ω 2 +15V R 100Ω 3 -15V Vin 100K Circuit to measure CMRR +15V 2 7 - 6 Vo + 3 4 -15V Circuit to measure slew rate 741 741
  • 6. 6 Lab Manual 2 +15v - 7 6 + Vo 3 4 1M -15v 0.01µF bias current Ib1 Rf 100k 0.01µF 2 - 6 Vo + 3 bias current Ib2 741 741
  • 7. 7 Lab Manual PROCEDURE: 1) Setup the circuit for finding CMRR. Apply a dc signal of 0.5 V at the input and measure Vo. Calculate CMRR using the expression CMRR = Vi(Rf/Ri) Vo Express CMRR in dB using the expression 20log(CMRR) 2) Feed a square wave to input and calculate slew rate using the expression SR = ΔVo/t; where ΔVo is the voltage swing and t is the time taken to change the voltage levels 3)Set up the circuits for measuring input bias current and input offset current. Measure the output voltage . Using the expression Vo = IB1R and Vo = IB2 R, IB1 and IB2 are calculated. Use the expression IB = (IB1 + IB2)/2 , IOS = IB1 - IB2 RESULT: Measured the parameters of an Op- Amp.
  • 8. 8 Lab Manual 2.Basic Operational Amplifier Circuits AIM: To design and setup the following basic operational amplifier circuits 1. Inverting and non inverting amplifiers, 2. Integrators, and differentiators 3.Comparators- zero crossing detector 4.Schmitt trigger Components and Equipments required: Power supplies, CRO, function generator, op- amp, resistors ,capacitors & bread board. THEORY: 1 a)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 1800 phase shift. The gain of the inverting amplifier is given by the expression A = - Rf/Ri where Rf is the feed back resistance and Ri is the input resistance . Inverting amplifier can be used as a scalar because the amplitude of the output can be varied by varying either of the resistors Rf or Ri. CIRCUIT DIAGRAM: t t
  • 9. 9 Lab Manual Rf 10k +15v Ri 1K 2 7 - Vo + Vin 2Vpp 3 4 -15v Design: Gain of an inverting amplifier A = - Rf/Ri Let the required gain be -10 Then, Rf/Ri = 10 take Ri = 1K, Therefore , Rf = 10k PROCEDURE: 1. Setup the inverting amplifier on the bread board 2. Feed a 2 Vpp sine wave and observe the input and output simultaneously on CRO. Verify whether the output is 20Vpp sine wave with 1800 out of phase with the input. 3. Vary the frequency of the input from 0 to a few MHz. Note down the output voltage . draw the frequency response characteristics. 741
  • 10. 10 Lab Manual Tabular column and frequency response 20 log vo/vin dB 3 dB fc Log f b) 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 impedance of non inverting amplifier is extremely large ,typically100 MΩ. F (Hz) Vo(volts) Log f 20 log (vo/vin)db
  • 11. 11 Lab Manual CIRCUIT DIAGRAM: t t Rf 10k +15v Ri 1K 2 7 - Vo + Vin 2Vpp 3 4 -15v 741
  • 12. 12 Lab Manual Design: Gain of non inverting amplifier A =1+ Rf/Ri Let the required gain be 11 Then, Rf/Ri = 10 take Ri = 1K, Therefore , Rf = 10k PROCEDURE: 1. Setup the non inverting amplifier on the bread board 2. Feed a 2 Vpp sine wave and observe the input and output simultaneously on CRO. Verify whether the output is 20Vpp sine wave in phase with the input. 3. Vary the frequency of the input from 0 to a few MHz. Note down the output voltage . draw the frequency response characteristics. Tabular column and frequency response 20 log vo/vin dB 3 dB fc Log f F (Hz) Vo(volts) Log f 20 log (vo/vin)db
  • 13. 13 Lab Manual 2 a) Integrators: The circuit performs the integration of the input waveform. The output voltage Vo can be expressed as Vo = -1/RC ∫Vidt +k where k is the constant of the integration which depends upon the value of Vo at t = 0. The peak of the output waveform VT is given by the expression VT = VT / 4RC, where T is the time period of the input square wave . Integrators are commonly used in analog computers and wave shaping networks. At low frequencies of the input voltage , capacitor behaves as an open circuit. Op-amp may saturate at low frequency even for a very low voltage at the input. This is because the open loop gain is very high . A high value feed back resistor Rf is connected across the capacitor to prevent the op amp from going saturation. When Rf is connected , gain will be reduced considerably at low frequencies . At higher frequencies circuit behaves as an ordinary integrator. In other words at low frequencies Rf is effective and C is effective at high frequencies in the feed back path. Integrator is a first order Low pass Filter . It permits low frequencies to pass to output. CIRCUIT DIAGRAM: 150K 0.01µF R 7 +15V 15K - 2 Vin 6 Vo 2Vpp + 3 4 -15V Integrator 741
  • 14. 14 Lab Manual Wave forms Vin +V -V Vo VT/4RC Design: Let the input frequency be 1 kHz. We have , f = 1/2πRC Let C = 0.01 µF. Then R = 15.9 k. Use 15k std. Select RF = 10 R = 150k so that break frequency is 100 hz. Tabular column and frequency response F (Hz) Vo(volts) Log f 20 log (vo/vin)db
  • 15. 15 Lab Manual 20 log vo/vin dB 3 dB ……………………………………. fc Log f PROCEDURE: 1. Setup the integrator circuit on the bread board 2. Feed a 2 Vpp 1ms square wave and observe the difference at the input and output simultaneously on CRO. 3. Vary the dc offset of the square wave and observe the difference in the output waveform. 4. Repeat the experiment by feeding the triangular wave and sine wave at the input and observe the output 5. Feed a sine wave to the input and note down the output amplitude by varying the frequency of the sine wave . Enter it in the tabular column and plot the frequency curve. b) Differentiators: If the input resistance of the inverting amplifier is replaced by a capacitor , it forms an inverting differentiator . The output of the circuit is the derivative of the input. Gain of the differentiator increases with increase in frequency which makes the circuit unstable. This is the drawback of this circuit.
  • 16. 16 Lab Manual The output voltage Vo can be expressed as Vo = -RFCi(dVi/dt). Differentiator functions as 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. CIRCUIT DIAGRAM: Wave forms Vin +V -V Vo R2C2 15K 0.01µF 0.01µF 56K 2 7 +15V - Vo + 6 Vin 2Vpp 3 -15V 4 Differentiator
  • 17. 17 Lab Manual Design: We have T 2 RFC take T = 1 ms and C – 0.01 µF Then RF = 15.9k use 15k std Select T = RiCi = RFCF =1/2πf wher f is the highest frequency to be differentiated Take Ci = CF = 0.01 µF PROCEDURE: 1. Setup the differentiator circuit on the bread board 2. Feed a 2 Vpp 1ms square wave and observe the difference at the input and output simultaneously on CRO. 3. Repeat the experiment by feeding the triangular wave and sine wave at the input and observe the output 4. Feed a sine wave to the input and note down the output amplitude by varying the frequency of the sine wave . Enter it in the tabular column and plot the frequency curve. Tabular column and frequency response F (Hz) Vo(volts) Log f 20 log (vo/vin)db
  • 18. 18 Lab Manual 20 log( Vo/Vin)dB 3 dB Log f Zero crossing detector (ZCD): It is a comparator that switches the output between +Vsat and – Vsat when input crosses zero reference voltage. The output is drive into -Vsat when the input signal passes through zero to positive direction . Conversely, when the input signal passes through zero to negative direction , the output switches to +Vsat. This circuit can be used to check whether the op amp is in good condition. CIRCUIT DIAGRAM: +15V 2 7 - 6 Vin + 3 4 -15V Zero crossing Detector 741
  • 19. 19 Lab Manual Wave forms Vo +Vsat -Vsat Vo +Vsat Vin
  • 20. 20 Lab Manual PROCEDURE: 1. Wire up the op amp as zero crossing detector. 2. Feed a 100mV sine wave at the input and verify whether the output is square wave swinging from +13V to - 13V approximately COMPARATOR: It is a circuit which compare a signal voltage applies at ona input of an opamp with a Known reference voltage at the other input. It is basically an openloop opamp with output ± Vsat. CIRCUIT DIAGRAM: +15V 2 7 - 6 Vin + 3 2V 4 -15V COMPARATOR 741
  • 21. 21 Lab Manual +Vsat -Vsat -Vsat Schmitt trigger: Schmitt trigger is a comparator and it is known as squaring circuit because it converts an irregular shaped waveform to a square wave. The output voltage changes state every time when input voltage crosses the threshold levels. The input voltage at which output switches from + Vsat to – Vsat is called the Upper triggering point (or upper threshold point ,UTP). The input voltage at which output switches from _ Vsat to + Vsat is called and lower Triggering point(or Lower Threshold point, LTP) These threshold voltages are obtained by the voltage divider R1 – R2. Suppose the output voltage is +Vsat. Now the voltage across R2 is VUTP = +Vsat R2/(R1 +R2). When the input voltage exceeds the voltage across the resistor R2, output goes to -Vsat. Now the voltage across R2 is VLTP = -Vsat R2/ (R1 + R2). When the input voltage goes lower than this voltage , output goes to + Vsat. PROCEDURE: 1. Verify whether the op amp IC is in good condition . This can be done by using it as ZCD or voltage follower . 2. Set up the ckt one by one . Observe the input and output on the CRO screen
  • 22. 22 Lab Manual 3. Observe the transfer characteristics . +15 2 7 - Vo + 3 4 -15V Vin 10K 20Vpp 3.3K Schmitt Trigger Vin +vsat -3v +3v Vin +Vsat -Vsat Vo Hysteresis curve -Vsat RESULT: Designed and setup basic operational amplifier circuits and observed the waveforms. -3v 741
  • 23. 23 Lab Manual 3.Instrumentation Amplifier Aim: To design and setup an instrumentation amplifier using three op amps to obtain a minimum gain of 3 for the difference of inputs. Components and equipments required DC source ,CRO, breadboard , op- Amp, breadboard ,potentiometer and resistors. Theory: Instrumentation amplifier s are widely used in data acquisition systems, remote sensing applications and instrumentation systems to measure temperature ,humidity, light intensity and weight etc. Most of the instrumentation systems use a transducer in a bridge circuit. Instrumentation amplifier facilities the amplification of potential difference taking place due to the imbalance of a bridge circuit proportional to a change in physical quantity . The main features of instrumentation amplifiers are high gain , high input resistance, high CMRR etc. Procedure: 1.Set up V1 = 0.5V dc and V2 = 0.4 V dc and measure output voltage on CRO or using multi meter, keeping RA in minimum position. 2.Repeat the above step by keeping RA in minimum position. Measure the difference in gain . This is the difference mode gain Ad 3.Feed V1 = V2 = 0.5V and observe the gain keeping RA in minimum position . This is common mode gain Ac. Calculate CMRR from the relation CMRR = 20log (Ad /Ac)
  • 24. 24 Lab Manual Circuit Diagram: +15 3 7 6 Ri 10k V2 2 4 Ri Ri 10k +15V -15 10k 2 7 - 6 V0 RA + 10k pot Ri 10K 3 4 -15V +15 Ri Ri 10k 2 7 10k - 6 3 + 44 V1 4 -15 Design We have ,Vo = (V1 – V2)[1+(2Ri /RAmax)] Given, 2 Ri/RAmax = 3. Take R and RA = 10 k Result: Common mode gain AC = ……… Difference mode gain Ad = ……... CMRR = ………… 741 741 741
  • 25. 25 Lab Manual 4. SINGLE OP-AMP SECOND ORDER LFF AND HPF , NARROW BAND ACTIVE BPF 4a)Second order Low pass filter AIM: To design and set up a second order low pass Butterworth filter for a higher cutoff frequency of 1 kHz. Components and Equipments required Op amp, resistors, capacitors ,dual DC source or two DC sources, signal generator , Bread board and CRO. THEORY: The roll – 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 second order filter is set by R1 and RF, while the higher cut off frequency fH is determined by R2 , C2 R3 and C3 as a given by the expression. fH = 1/2π At low frequencies , both capacitors appear open, and a circuit becomes a voltage follower . As the frequency increases , the gain eventually starts to decrease .
  • 26. 26 Lab Manual CIRCUIT DIAGRAM; RF 15k Ri 10k +15V 7 6 V0 R2 22k R3 22k 4 -15v RL 10k C2 C3 0.01 µF 0.01µF DESIGN: Required cutoff frequency fH = 1 kHz We have fH = 1/2π Take C2 = C3= 0.01µF . Then R2 = R3= 22K For R2 =R3 and C2 = C3, the pass band gain AF 1 + RF/R1 must be 1.586. That is ,RF = 0.586R1 take R1 = 27k. Then RF = 15 .82k . Use 15k PROCEDURE: 1. Setup the circuit and feed a 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 on a semi log graph sheet. 3. Mark higher cut off frequency on the graph sheet and calculate the roll off in dB/decade from the graph sheet 741
  • 27. 27 Lab Manual Tabular column and Graph Vin = 2Vpp 20 log (V0/Vin)dB -------3dB------------------ Log fH log f RESULT: Theoretical fH = ………Hz Observed fH = …… Theoretical pass band gain = ……. Observed pass band gain = ……. Roll – Off = ………dB/decade F (Hz) Vo(volts) Log f 20 log (vo/vin)db
  • 28. 28 Lab Manual 4b) Second order high pass filter Aim: Design and setup a second order high pass filter for a lower cut off frequency of 1 Khz. Components and equipments required: Op- amp, resistors , capacitors , dual DC source , signal generator ,bread board and CRO. Theory: A second order high pass filter can be constructed from a second order high pass filter by interchanging the frequency deciding resistors and capacitors . Consider the circuit diagram . At low frequencies the capacitors appear open and voltage gain approaches zero. At high frequencies , the capacitors appear short circuited and circuit becomes a non inverting amplifier . The cut of frequency of the filter is given by the expression If C2 = C3 = C and R2 = R3 = R. then f L = 1/2πRC
  • 29. 29 Lab Manual CIRCUIT DIAGRAM: 27k RF 15k Ri 10k +15V - 7 2 6 V0 0.01µF 0.01µF 3 4 + -15v RL 10k 15k 15k Vin 2V pp Design : Required cut off frequency fL = 1 kHz. We have , If C2 = C3 = C and R2 = R3 = R . Then fL = 1/2πRC We have , fL We have , fL = 1/2πRC Assume ,C 0.01 F. Then R = 15.9k. Use R2 = R3 15 k std The pass band gain AF = 1+ RF/R1 = must be 1.586 for butterwort filter. That is ,RF =0. 586 R1 Take R1 = 27k. Then RF . Then = 15.82k. use 15k PROCEDURE: 1. Setup the circuit and feed a 2Vpp sine wave from the signal generator. 741
  • 30. 30 Lab Manual 2. Vary the frequency of sine wave in steps and note down corresponding output voltage . Plot the frequency on a semi log graph sheet. 3. Mark higher cut off frequency on the graph sheet and calculate the roll off in dB/decade from the graph sheet Tabular column and Graph Vin = 2Vpp RESULT: Theoretical fH = ………Hz Observed fH = …… Theoretical pass band gain = ……. Observed pass band gain = ……. Roll – Off = ………dB/decade 4.cBAND PASS FILTER AIM: To design and setup a band pass filter have fo = 1khz,Q = 3, and gain AF = 10 Components and equipments required . Op- amp, resistors ,capacitors ,dual DC source, signal generator, bread board and CRO THEORY: A band pass filter passes a particular band of frequencies with zero attenuation and attenuates all other frequencies. It is very widely used in analog and digital communication applications . The classification of narrow band and wide band filters made based on the quality factor Q. If the quality factor Q<0.5 it is called as wide band filter and if Q >0.5, it is narrow band filter . F (Hz) Vo(volts) Log f 20 log (vo/vin)db
  • 31. 31 Lab Manual If an LPF having cut off frequency fH is cascaded with HPF having cut off frequency fL such that fH > fL ,it forms a BPF with band FH - FL . Narrow band filters are constructed with single stage. Multiple feedback method is used in the narrow band BPF for which the following relationships are important. Q = fo/BW = fo/ (fH - fL) where fH = upper cutoff frequency, fL = lower cutoff frequency, fo = centre frequency and BW = band width This filter uses only one op -amp in the inverting mode. It has two feedback paths . To simplify design calculations ,take C1=C2=C Where is the gain at fo i..e… = R3/2R1. It should satisfy the condition CIRCUIT DIAGRAM C1, 0.01µF Rr 100k R1 4.7k C1, 0.01µF +15v 2 7 Vo 6 Vv vin 2vpp 3 4 R2 6.2k -15v R3100k 741
  • 32. 32 Lab Manual Band pass filter DESIGN: Take C1= C2= 0.01 µF R1 = 3/2π(103 )(10-8 ) 10 = 4.77k. use 4.7k std R2 = 3/2π(103 )(10-8 ) (18-10 ) = 5.97k. use 6.2 k std R3 = 3/π(103 )(10-8 ) = 95.5k. use 100k std., Use RL = 10k PROCEDURE: 1. Set up the circuit and feed a 2 Vpp sine wave from the signal generator 2. Vary the frequency of the sine wave in steps and note down corresponding output voltage . 3. Plot the frequency response on a semi log graph sheet . mark the pass band. 4. Tabular column and Graph Vin = 100mV F (Hz) Vo(volts) Gain in dB
  • 33. 33 Lab Manual gain in dB --------------------------- M dB ------------------------------- (M-3)dB Log f Log fl logfH RESULT: Bandwidth :………Hz 5. ACTIVE NOTCH FILTER USING OP- AMPS Aim: To design and set up a narrow band elimination filter (notch filter) and to draw the frequency response characteristics. Components and equipments required Op- amp, resistors ,capacitor s,dual DC source, signal generator ,bread board and CRO Theory
  • 34. 34 Lab Manual Band elimination filter is also known as band rejection filter or band stop filter . Wide band rejection filter can be setup by connecting a low pass filter and high pass filter in parallel .If an LPF with fL is connected in parallel. If an LPF with f L is connected in parallel to HPF with f H such that f H > f L ,it forms a BEF with bandwidth f H - f L. Narrow band reject filter is also known as notch filter . Notch filter provides maximum attenuation at the frequency fo = 1/2πRC. This is achieved by a twin – T RC network. Passive twin – T network has relatively low figure of merit Q . The Q can be increased by associating with a voltage follower using op- amp. Notch filter has wide application in communication field. It is used to eliminate undesired frequencies. The very common application is to remove power supply hum occurring at 50 Hz. PROCEDURE : Setup the circuit and feed a 2vpp sine wave from the signal generator. Vary the frequency of the sine wave in steps and notedown the corresponding output voltage. Plot the frequency response on the semilog graph sheet.
  • 35. 35 Lab Manual CIRCUIT DIAGRAM : 2 7 R 15k R 15k - 6 V0 + -15V 10K R/2 2C Notch filter 0.022µ Design Required notch frequency fN = 1/2πRC = 1 kHz Take C = 0.01µF . Then R = 15k. Take 2C = 0.022µF and R/2 = 8.2k. F (Hz) Vo(volts) Gain in dB 741
  • 36. 36 Lab Manual Gain in db Log fN Log f RESULT Designed and setup notch filter plotted the frequency response characteristics
  • 37. 37 Lab Manual 6.WIEN-BRIDGE OSCILLATOR WITH AMPLITUDE STABILISATION AIM To design and set up a Wien-bridge oscillator with amplitude stabilization for a frequency of 1 kHz. COMPONENTS REQUIRED 741IC, resistors, capacitor, diode, dc source CIRCUIT DIAGRAM R 1.5K Rf 4.7K +15V 2 7 C 0.01µF - 6 VO + 3 4 D -15V BFW10 0.01µF Rs 1.5 Cs 0.01µF 1M 741
  • 38. 38 Lab Manual DESIGN The frequency needed is 1 kHz. f0 = 1/2πRC = 1 kHz let C = 0.1µF, then R= 1.6k. ; R=1.5kstd For sustained oscillations, 1+ ( Rf/ Ri ) = 3 Select Ri = 1 kΩ and Rf = 2.2k take 4.7k pot Use Rs = 1M andCs = 0.1µF THEORY The Wien bridge oscillator is a circuit for generating low frequency in the range of 10Hz to about 1MHz. It is widely used in commercial generators. The basic network forms a bridge in the feedback circuit. That is why it is called as Wien bridge oscillator. The Wien bridge consists of a series RC circuit and parallel RC circuit as shown in figure The circuit shown here uses both negative and positive feedback. Circuit behavior is strongly affected by whether positive or negative feedback prevails. Here the feedback factor is found to be of the form β =1/[3+j(f/fo – fo/f)];which is of band pass nature ,which has a maximum value of 1/3 at f= fo =1/(2πRC).At this point the loop phase is 0o .Hence by barkhausen criteria, oscillation will start if A β>1,i.e if the gain of the amplifier is greater than 3.Hence for the oscillation to start, initially gain should be greater than 3 slightly and finally it should settle down at a gain of 3,where the amplitude of oscillation stabilizes. For this we use an amplitude stabilization circuitry consisting of resistors and diodes. The frequency of oscillation can be varied by varying the capacitors simultaneously. These capacitors are variable air-gang capacitors. We can change the frequency range of the oscillator by connecting different values of resistors. The Wien bridge oscillator is therefore suitable for audio frequency generators.
  • 39. 39 Lab Manual PROCEDURE Check the op-amp. Setup the circuit on the breadboard as shown in figure. Ensure that op-amp is operating as an amplifier of required gain. Observe the output on the CRO. Adjust the potentiometer to get the sine wave without any distortion or clipping. The amplitude is almost equal to Vsat. RESULT: Designed and setup Wien Bridge oscillator using opamp.
  • 40. 40 Lab Manual 7.SQUARE, TRIANGULAR & SAWTOOTH WAVE GENERATORS AIM: To design and set up a square with amplitude ± Vsat and triangular wave with amplitude ± 2.5V for a frequency of 1 KHz To design and set up a triangular wave generator with amplitude +2.5 V and a frequency of 2 KHz To design and set up a saw tooth wave generator with amplitude ± 2.5 V & for a risetime t1 = 2ms and fall time t2 = 0.2 ms To design and setup a saw tooth wave generator with amplitude + 2.5 ms and for a rise time t1 = 1ms and fall time of t2 = 0.1 ms COMPONENTS AND EQUIPMENT REQUIRED: IC 741 (2), resistors (5.6-(2), 15K, 1K, 56K), capacitors (0.1µF), diode 1N4001(3), DC source (±15 V), bread board and CRO THEORY: The square wave triangular wave generator uses two operational amplifiers. One (A1) functions as a comparator and other (A2) as an integrator. Comparator compares the voltage at point P continuously with the inverting input that is at 0V. When the coltage at P goes slightly above or below 0V, the output of A1 is at negative or positive saturation level respectively. At the output of the comparator we get a square wave with amplitude ± Vsat. Suppose the output of A1 is at positive saturation + Vsat. Since this voltage is the input of the integrator, the output of A2 will be a negative going ramp. At time t = t1, when the negative going ramp attains values of –Vramp, the effective voltage at point P is slightly less than zero. This switches the output of A1 from positive saturation to negative
  • 41. 41 Lab Manual saturation. During the time when output of A1 is –Vsat, the output of A1 increases in positive direction till it reaches +Vramp. At this point P is slightly above 0V, therefore the output of A1 is switched back to positive saturation level +Vsat. The cycle repeats and generates a triangular waveform. The frequency of triangular waveform is given by . Peak to peak amplitude is . In the triangular wave generator with amplitude +Vramp, a diode is connected in the feedback path. The circuit has 2 op-amps. One A1 functions as a comparator and the other A2 functions as an integrator. Suppose output of A1 is at negative saturation –Vsat. Since this voltage is the input of integrator, its output will be a positive going ramp. Thus one end of the voltage divider is at –Vsat and the other end at positive going ramp. When the positive going ramp attains a value Vramp the output of A1 switches from negative saturation too positive saturation. Since the output of A1 is at positive saturation, then the diode is reverse biased. Output of A2 is a negative going ramp and when the output of A1 reaches zero, the output of A1 switches from +Vsat to –Vsat, and the cycle repeats. In a sawtooth wave generator, the rise time is higher than fall time or vice versa. A triangular waveform generator can be converted to a sawtooth by a diode resistor network shown in the circuit. During positive saturation at output of A1, upper diode D1 conducts and R3’ will be effective. The current for charging the capacitor will be high if R3’ is effective because R3’< R3”. Hence the output of A2 which is a negative going ramp with steeper slope and hence the fall time of a sawtooth wave decreases. Similarly during negative saturation at output of A1, upper diode D1 is everse biased and lower diode D2 conducts and R3” will be effective. The current through the capacitor will be less because R3”> R3’. Hence the output o A2 is a positive going ramp with less steeper slope. Hence the rise time of the sawtooth wave increases. In a sawtooth wave form generator with amplitude +Vramp , a diode is connected in the feedback path. It consists of 2 op-amps. One (A1) functions as a comparator and the other (A2) functions as an integrator. Consider the instant at which the output of A1 is at negative saturation –Vsat; then the lower diode D2
  • 42. 42 Lab Manual conducts and R3” will be effective. The output of A2 will be a positive going ramp. When the output of A2 goes reaches of +Vramp the effective voltage at P is slightly less than zero. This switches the output of A1 from negative to positive saturation. When output of A1 is +Vsat , the diode in the feedback path is reverse biased and upper diode D1 conducts. Therefore the output of A2 is a negative going ramp and when the ramp reaches zero, the output of A2 switches from +Vsat to –Vsat and the cycle repeats. CIRCUITDIAGRAM DESIGN Vramp =Vsat R2/R3 Let Vramp= 6V , Vsat= 13V Then for R2= 1K , R3= = 2.6K Select 2.7K std . Also time period T =
  • 43. 43 Lab Manual For T = 0.1 ms Let C = 0.01 μF, then R1 = = 6.75 K Select 6.8K std PROCEDURE: Set up the circuit of square cum triangular wave generator on the breadboard after checking all components and op-amps. Observe the square wave output of the first op-amp. Note down the amplitude and frequency of the square wave Observe the output of the second op-amp which is a triangular wave Note down the amplitude and frequency of the waveform Set up the triangular wave generator for amplitude +Vramp , after checking all components and op-amps Observe the triangular wave form at the output of the second op-amp Note down the amplitude and frequency of the triangular waveform generator Set up the circuit of the saw tooth generator on the breadboard after checking all the components and op-amp Observe the sawtooth waveform at the output of the second op-amp. Note down the amplitude, time period of rise time & time period of fall time Set up the circuit of sawtooth wave generator with amplitude +Vramp, after checking all the components and op-amp. Observe the output waveform at the output of the 2nd op-amp Note down the amplitude and time periods of rise and fall times Vsawtooth
  • 44. 44 Lab Manual RESULT: A square wave generator cum triangular waveform generator was designed and setup for square wave amplitude = ±Vsat, Triangular wave amplitude = ±2.5V, Frequency =2 KHz Observed amplitude of the square wave = Observed amplitude of the triangular wave = Observed frequency = A triangular wave generator is designed and setup for an amplitude +2.5 V and a frequency of 2 KHz Observed amplitude of triangular wave = Observed frequency = A saw tooth wave generator was designed and setup for an amplitude of 2.5 V, rise time of 2ms and fall time 0.2 ms Observed sawtooth amplitude = Observed rise time = Observed fall time =
  • 45. 45 Lab Manual A sawtooth wave form generator was designed and setup for an amplitude of 2.5V, rise time t1 =1 ms and fall time t2 = 0.1 ms Observed sawtooth amplitude = Observed rise time = Observed fall time =
  • 46. 46 Lab Manual 8. ASTABLE & MONOSTABLE MULTIVIBRATOR USING IC 555 AIM To design and setup a monostable multivibrator using 555 timer for a pulse-width of 1ms COMPONENTS REQUIRED 555 IC, resistors, capacitors, dc source CIRCUIT DIAGRAM
  • 47. 47 Lab Manual DESIGN Take VCC=10 V Pulse width T = 1.1 RC = 1ms Let C = 0.1 uf, then R = 9.09 kΩ, select standard value of 10 kΩ Trigger RiCi=0.016 Tt Take Tt =3ms For Ri=5.6K, then Ci=0.01 uF THEORY The circuit diagram is shown in fig. Here the resistor R and the capacitor C are external to the chip and their values determine the output pulse-width. The three equal resistance R inside the chip establish the reference voltages 2Vcc/3 and Vcc/3 for comparators C1 and C2 respectively. Before the application of the trigger pulse Vt, the voltage at the trigger input is high which is equal to Vcc.With this high trigger input , the output of the comparator C2 will be low causing the FF output Ǭ to be high. Now the discharge transistor Q1 will be saturated and the voltage across the timing capacitor C will be essentially zero. At t=0, application of trigger V t, less than Vcc/3 causes the output of the comparator C2 to be high. This will set the FF with Ǭ now low. The discharge transistor will be turned off. Now the timing capacitor charges up towards Vcc via resistor R, with a time constant τ=RC .When this charging voltages reach the threshold level of 2Vcc/3,comparator C1 will switch states and its output voltage will now be high. This causes the FF to reset so that Ǭ will go high. The high value of Ǭ turns on the discharge transistor Q1.The time duration of quasi-stable state is given by the equation, T=1.1RC seconds
  • 48. 48 Lab Manual ASTABLE MULTIVIBRATOR Initially capacitor C starts charging through RA and RB towards Vcc with a time constant (RA + RB) C. During this time , R = 0 ,S = 1, Q = 0 the output is high. When capacitor voltage equal 2/3 Vcc the upper capacitor triggers the control flipflop so that Q = 1. This makes transistor Q1 ON and capacitor C starts discharging towards ground through RB and transistor Q1 with a time constant RBC During the discharge of the timing capacitor C, as it reaches Vcc/3 the lower comparator is triggered and at this stages S =1, R = 0,which turns Q = 0 . This makes transistor Q1, OFF and again capacitor starts to charge. Thus the capacitor periodically charges and discharges between 2/3Vcc and 1/3 Vcc The charging period of the capacitor C = 0.69(RA +RB)C` The discharge period of the capacitor C = 0.69RBC Vcc Ra 6.8k V0 Rb 6.8k C = 0.1µF 0.01µF 8 4 7 3 555 2 6 1 5
  • 49. 49 Lab Manual Design. Take Vcc = 10 v and t = 1ms and td = 0.5ms We take, tc = 0.69(RA + RB)C and td = 0.69 RBC RA and RB should be in the range of 1K to 10 k to limit the collector current of the internal transistor Take RA = RB = 6.8k Let C = 0.1µF, and C1 = 0.01 µF PROCEDURE 1. Set up the circuit after verifying the condition of the IC using analog IC tester. 2. Use positive pulses of amplitude Vcc and frequency 300Hz as the trigger. 3 .Observe the waveforms at pin numbers 3 and 6 of the chip. 4. If pulse generator isn’t available, use square wave generator along with a differentiator circuit Output waveforms: Trigger pulses
  • 50. 50 Lab Manual Output waveform: RESULT Designed and set up a monostable & Astable multivibrator and observed it output waveforms
  • 51. 51 Lab Manual 9. ASTABLE AND MONOSTABLE MULTI VIBRATORS USING OP- AMPS Aim: To design and setup an astable and mono stable multi vibrators using Op amp for a frequency of oscillation of 1 Khz Components and equipments required : Power supplies ,CRO, op amp resistors and capacitors THEORY: Astable multi vibrator is capable of producing square wave for given frequency , amplitude and duty cycle. The output of the op amp is forced to swing repetitively between positive saturation +vsat and –ve saturation –Vsat , resulting in a square wave output. The circuit is also called free running or square wave generator. The output of the op amp will be in positive saturation if differential input voltage is negative and vice versa. Astable multi vibrators is particularly useful for the generation of frequency in the frequency range . Higher frequencies are limited by the delay time and slew rate of the op amp.
  • 52. 52 Lab Manual CIRCUIT DIAGRAM: 4.7K 2 7 +15V Vc - 6 + V0 0.1µF 3 4 -15V R1 10K R2 10K Astable Multivibrator Vo +vsat -Vsat Vc +βVsat +βVsat 741
  • 53. 53 Lab Manual Design; Required period of oscillation T = 1ms with duty cycle 50% Time period T = 2RCln[(1+β)/(1-β)] Take β = 0.5 and R2 = 10 k. Then R1 = 10 k When β = 0.5, T = 2.2 Rc. Let C be 0.1µF. Then R = 4.7K PROCEDURE: Check the op amp and setup the circuit of an astable multi vibrator on the bread board and observe the output wave forms from pin nos 6 and 2 and measure the amplitude and frequency. MONOSTABLE MULTI VIBRATOR Monostable multivibrator is also called one shot. It has a stable state and a quasi stable state . The circuit remains in stable until trigging signal causes a transition to quasi- stable state . After a 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 clamps the capacitor voltage VC at 0.7V. Feedback voltage available at no – inverting terminals is +βVsat. When the negative going trigger is applied such that the potential at non inverting terminal becomes lass than 0.7V. The output switches to –Vsat. Now the capacitor charges through R towards –vsat, the diode becomes reverse biased. When the capacitor voltage more negative than – βVsat , the
  • 54. 54 Lab Manual comparator switches back to +Vsat, and capacitor C starts charging to +Vsat through R until Vc reaches 0.7V and C becomes clamped to 0.7V. The pulse width is given by T = RCln1/(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 appears before the specified output pulse width and hence it is called non-retriggerable monoshot. R 15k +15v 2 7 D1 6 IN4007 C 0.1µF 3 4 _15v R1 10k Cd 0.01µF D2 Vin Rd 8.2k R2 10k 20vpp Monostable Multivibrator 741
  • 55. 55 Lab Manual Vo +vsat -Vsat Vc +βVsat +βVsat Procedure: Setup the monostable multivibrator and feed 6Vpp,200Hz square wave at the trigger input Observe the waveforms at pin no.6 and 2 of op amp and note down its amplitude and frequency. DESIGN: We have , T= RCln1/1-β. Let β be 0.5. then T = 0.69 RC Take T = 1 ms and C = 0.1 µF, then R = 14.5 k use 15k std. Since β = R2/(R1+ R2), R1 = R2= 10 k. For the differentiating circuit RdCd <<0.16 Tt Trigger time period should be greater than output pulse width of the multi vibrator Take trigger time period Tt = 5mS and Cd 0.01 µF. Then Rd = 8.2k
  • 56. 56 Lab Manual RESULT: Designed and setup astable and mono stable multi vibrators using Op amp.
  • 57. 57 Lab Manual 10 a.VOLTAGE REGULATION USING IC 723 AIM: To familiarize with general purpose regulator IC 723 and design and setup a low voltage regulator for an output voltage of 6V using it. Components and equipments required: DC sources ,CRO, bread board ,723IC, capacitors and resistors. THEORY; 723 Ic is general purpose voltage regulator , which can be adjusted over a wide range both positive or negative regulated voltage. Though the IC is a low current device, current can be boosted to provide 10 amperes or more. It has short circuit protection and no short circuit current limits. It can operate with an input voltage from 9.5V to 40V and provide output voltage from 2V to 37V. It provides 150mA output current without external output transistors. Pin out of 723 DIP 1.NC 4.Inverting input 7.V- 10.Vout 13.Fre.Com 2.Current limit 5. Non inverting input 8.NC 11.Vc 14.NC 3.Current sense 6.Vref 9.Vz 12. V+
  • 58. 58 Lab Manual 723 as low voltage regulator Vref point is connected through a resistance to the non inverting terminal and the output is feedback to the inverting terminal of the error amplifier. Error amplifier controls the conduction of series pass transistor Q1. If the output voltage becomes low, the voltage at the inverting terminal of error amplifier also goes down. This makes the output of the error amplifier become more positive ,thereby driving the series pass transistor Q1 more into the conduction. This reduces the voltage across Q1 drives more current into the load causing voltage across load to increase. Thus the initial decrease in the load voltage gets regulated. PROCEDURE: 1. Set up the circuit on a bread board and switch on the input voltage source. 2. Vary the input voltage from 6V to 15V in steps and note down the corresponding output voltage in the tabular column. 3. Draw the line regulation graph with Vin along X- axis and Vo along y –axis. Calculate the percentage line regulation using the expression Sv = Change in output voltage/Change in input voltage = ∆Vo/∆Vi 4. Set the input power supply at 9V and vary the rheostat and note down the corresponding change in output current. Draw the load regulation characteristics with IL along x – axis and Vo along y- axis. 5. Note the output voltage by disconnecting the rheostat from the output terminals. It is V NL. Note the output voltage by adjusting the rheostat to read the rated output current of 100mA. It is VFL. Calculate the percentage load regulation using the expression.
  • 59. 59 Lab Manual CIRCUIT DIAGRAM: Vin 30V R1 R3 RL + 1k 2.2k V0 C2 1K 0-10V - C1 R2 100PF 1A(Rh) 0.1µF 5.6k Design Required output voltage Vo = 6V. Let the current through load resistor RL be 100mA. Then RL = 6V/ 100mA = 60Ω. Use a rheostat to vary the load current to find load regulation. Let the current ID through the resistor – divider R1 and R2 be 1 mA. Hence ,R1 = (Vref – V0)/ID = (7.15 – 6)1mA = 1.1k use 1K std. R2 =Vo/ ID = 6V/1mA = 6K . use 5.6k std For stebility R3 = R1R2/(R1+ R2) as per data sheet , 1k<R3<3.52k Take R3 = 2.2k Choose C1 = 0.1 µF and C2 = 100pF 12 11 6 10 723 5 4 7 13 V A
  • 60. 60 Lab Manual Line regulation IL = 100mA Vo(volts) Vin Volts Vo Volts 6V Vin(volts) Load regulation Vo(volts) Vin = 9V …………………… IL 100mA RESULT: Designed and setup a low voltage regulator for an output voltage of 6V. IL mA Vo Volts
  • 61. 61 Lab Manual 10.b HIGH VOLTAGE REGULATOR USING 723 IC Aim To design and set up a voltage regulator for 12V output. Components and equipments required DC sources, CRO, bread board, 723 IC, capacitor and resistors. Theory In order to produce regulated output voltage greater than 7V , a small change should be made in the circuit for low voltage regulator. The non inverting terminal is connected directly to Vref through R3. So the voltage at the non inverting terminal is Vref. The error amplifier operates as a non inverting amplifier with a voltage gain of Av = 1+R1/R2., Notice that Av is always greater than 1. So the output voltage of the circuit is Vo = 7.15(1+R1/R2). Procedure 1.Set up the circuit on a bread board and switch on the input voltage source. 2.Vary the input voltage from 15V to 30V in steps and note down the corresponding output voltage in the tabular column. 3.Draw the line regulation graph with Vin along X- axis and Vo along y –axis. Calculate the percentage line regulation using the expression Sv = Change in output voltage/Change in input voltage = ∆Vo/∆Vi 4.Set the input xpower supply at 15V and vary the rheostat and note down the corresponding change in output current. Draw the load regulation characteristics with IL along x – axis and Vo along y- axis. 5.Note the output voltage by disconnecting the rheostat from the output terminals. It is V NL.
  • 62. 62 Lab Manual Note the output voltage by adjusting the rheostat to read the rated output current of 100mA. It is VFL. Calculate the percentage load regulation using the expression. 30V R3 10k R1 10k + RL - 100pF 1k, 1A 10V R2 15k +1A Design Required output voltage Vo = 12V. Let the current through load resistor RL be 100mA. Then RL = 12V/ 100mA = 120Ω. Use a rheostat to vary the load current to find load regulation. Vo is given by the expression, Vo = 7.15(1 + R1/R2) Take R1 = 10K. Then R2 = 17.7k. Use 15k std. Take RL = 1k rheostat and C = 100pF 12 11 6 10 723 5 4 7 13 V A
  • 63. 63 Lab Manual Line regulation IL = 100mA Vo(volts) Vin Volts Vo Volts 6V Vin(volts) Load regulation Vo(volts) Vin = 9V ……………………... Result Designed and setup a high voltage regulator for an output voltage of 12V IL mA Vo Volts
  • 64. 64 Lab Manual 11.GENERATION AND DEMODULATION OF PWM AND PPM Aim : To design and setup a Pulse Width Modulator and Pulse Position Modulator Components and Equipments required: 555 IC, resistors ,capacitors , DC power source, signal generator, diode, bread board and CRO. THEORY: PWM is also known as Pulse Duration Modulation or Pulse length modulation . It utilizes the advantages of constant amplitude pulses. In PWM, width of the pulses is varied according to the amplitude of AF signal. Basic principle of operation of this circuit is nothing but varying the period of the monostable multivibrator according to the AF input. Consider the internal diagram . The upper comparator input output goes to logic high state when the voltage at the non inverting terminal is more than the voltage at inverting terminal. Since the AF is coupled to the control voltage terminal of 555 using a capacitor ,it sits on this 2/3 Vcc. That means that the voltage at the control terminal goes up or down with repect to 2/3 Vcc by an amount of AF signal peak. Thus the peak to which capacitor charges also vary thus the width of output pulse varies PROCEDURE: Setup the circuit and verify whether 555 is working as a monostable multivibrator. Apply modulating signal and observe the output. CIRCUIT DIAGRAM;
  • 65. 65 Lab Manual Design: Take Vcc = 10 V and T =1.5ms. WE have T = 1.1RC Take C = 0.1µF, then R = 13.6 k use 15k std. For the triggering circuit RC <<0.0016Tt , where Tt is the time period of carrier . Tt = 2 ms. Takr Ri = 1k. Then Ci = 0.1µF. Use 10K resistor and 10 µF capacitor for AC oupling. Wave forms: Modulating input t Carrier t Input PWM output t
  • 66. 66 Lab Manual In PPM , position of the carrier pulse from a reference position is varied according to the modulating signal . The trailing edge of the PWM signal initiates the beginning of the PPM pulses. PPM demodulation is done by converting PPM to PWM first and then to anlog output. PPM to PWM conversion is done by an RS flip flop using two NAND gates. Clock pulses and PPM signal are fed to S and R respectively. Finally , PWM signal is converted to analog input using an integrator. CIRCUIT DIAGRAM; Design; Here both 555ICs function as monostable multivibrators. First monostable multivibrator generates PWM output. Take Vcc = 10 V and T = 1.5ms We have T = 1.1RC Take C = 0.1µF. Then R = 13.6k. Use 15k,Choose C1 = 0.01µF. Triggering circuit RTCT 0.016Tt where Tt is the time period of carrier = 2 mS Take RT = 1k. Then CT ≈ 0.1µF Select coupling capacitor Cc = 10 µF PROCEDURE: Set up the PWM circuit , feed the modulating signal sin wave having amplitude 10 Vpp .100Hz and carrier signal as trigger having amplitude 10Vp,500Hz. Observe the PWM signal output.
  • 67. 67 Lab Manual Setup the second monostable circuit and feed the PWM output to it and observe the PPM output. Wave forms: Modulating input t Carrier t Input PWM output t PPM t Output
  • 68. 68 Lab Manual RESULT: Designed and setup PWM and PPM circuit
  • 69. 69 Lab Manual STUDY OF ADC AND DAC ICs Aim : To study the function of ADC and DAC IC. Components and equipments required ICs ADC0800, DAC0800, resistors, capacitors, dc supply and bread boaed. Theory : The ADC0800 is an 8-bit monolithic ADC using p- channel ion implanted MOS technology. It consists of a high input impedance comparator, 256 series resistors and analog switches, control logic and output latches. Conversion is performed using a successive approximation technique where the analog voltage is compared using analog switches. When the appropriate tie point voltage matches the unknown voltage, conversion gets completed. The digital output contain an 8- bit complimentary binary corresponding to the unknown voltage. The binary output is tristate to permit using one common data lines. DAC0800 is a 16 pin IC. Its resolution is 1 paert in 256. The accuracy is defined as the percentage of full scale or maximum output voltage. It is an 8-bit current output multiplying DAC with setting time of 100ns., input compatible with most of the logic families, power supply required is 5V to 18V. To provide a corresponding output voltage for the current output of DAC 0800 a current to voltage converteris used. When unipolar output voltage is required, Vref is grounded and when bipolar output voltage is required, Vref is connected to +10V.
  • 70. 70 Lab Manual CIRCUIT DIAGRAM +5V Vin -12 -5V Clock MSB B8 B7 B6 B5 B4 B3 B2 B1 B8 B7 B6 B5 B 4 B3 B2 B1 +10V MSB 10K 10K 4.7K VO +15V 0.1µF -15V 0.1µF RESULT: 15 10 12 8 5 11 18 ADC0800 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 14 4 15 ADC0800 2 3 18 16 13 1 4