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Emona netCIRCUITlabs
Lab Manual
Model REL 2.2
Op-Amp Circuits Experiments
SAMPLE MANUAL
Emona netCIRCUITlabs Remote Electronics Lab
Model REL 2.2 – SAMPLE MANUAL
Op-Amp Circuits Experiments Authors: Alfred Breznik and Carlo Manfredini
Issue Number: 1.1
Published by:
Emona Instruments Pty Ltd,
78 Parramatta Road
Camperdown NSW 2050
AUSTRALIA.
web: www.emona-tims.com
telephone: +61-2-9519-3933
fax: +61-2-9550-1378
Copyright © 2016 - 2020 Emona Instruments Pty Ltd and its related entities.
All rights reserved. No part of this publication may be reproduced or
distributed in any form or by any means, including any network or Web
distribution or broadcast for distance learning, or stored in any database or in
any network retrieval system, without the prior written consent of Emona
Instruments Pty Ltd.
For licensing information, please contact Emona Instruments Pty Ltd.
The "netCIRCUITlabs" is a trademark of Emona TIMS Pty Ltd
Printed in Australia
REL 2.2 Lab Manual Contents
SAMPLE chapters in BOLD
Introduction ...................................................................................... 1 - 5
1 – Dynamic range and slew rate ......................................................... Expt 7 - 1
2 – Open loop ........................................................................................... Expt 7 - 2
3 – Input offset voltage and current ................................................ Expt 7 - 3
4 – Common mode .................................................................................... Expt 7 – 4
5 – The inverting amplifier ................................................................... Expt 8 - 1
6 – The non-inverting amplifier ........................................................... Expt 8 - 2
7 – The voltage follower ....................................................................... Expt 8 – 3
8 – Summing amplifier ........................................................................... Expt 8 – 4
9 – Differential amplifier ....................................... Expt 8 - 5
10– The integrator ................................................................................. Expt 9 – 1
11– The differentiator .......................................................................... Expt 9 – 2
12– Combined integration differentiation ........................................ Expt 9 – 3
13- Squarewave generator ................................................................... Expt 10- 1
14- Duty cycle .................................................. Expt 10- 2
15- Triangle wave generator ................................................................ Expt 10- 3
16- Sawtooth wave generator ............................................................. Expt 10- 4
netCIRCUITlabs ™ REL2.2 Lab Manual 1
1.0 Introduction to Emona netCIRCUITlabs System
Fig. 1.0: netCIRCUITlabs Experiment Platform
1.1 Emona netCIRCUITlabs System
netCIRCUITlabs is laboratory hardware equipment used by students and professors to carry out online experiments in analog and digital electronic circuits. netCIRUITlabs implements real, hardware electronic circuits. Students are given whatever control is required to investigate the electronic circuit being investigated. The student views real, live electrical signals, in real time. There is no simulation in netCIRCUITlabs. Note that each electronic circuit has potentiometers and switches: these are used by the student to vary parameters such as amplitude, frequency, phase, amplitude and timing – as
required by the experiment. These parameters can be adjusted so that the experimental results relate back to the theory and mathematical calculations. Practically any electronic circuit can be implemented on the Applications Boards. Figure 1.1 shows a typical Applications Board, with a number of electronic circuits implemented.
Fig. 1.1: Typical Experiment Applications Board
netCIRCUITlabs SERVER Ethernet Port for on-line user access
netCIRCUITlabs applications board.
2 netCIRCUITlabs ™ REL2.2 Lab Manual
Figure 1.2 shows a typical student experiment display window, showing the schematic circuit, function generator control and oscilloscope controls and display.
2.2 Accessing a netCIRCUITlabs experiment
Launch your web browser. Enter the IP address give you to by your instructor/supervisor. You will see a netCIRCUITlabs Server web page, similar to the web page shown below.
Click on the “Click To Enter netCIRCUITlabs” link, and the netCIRCUITlabs CLIENT will ask for user name and password, as shown below:
Enter the username and password issued by your teacher/instructor.
Figure 1.2: Typical Student Display
netCIRCUITlabs ™ REL2.2 Lab Manual 3
2.3 Running experiments
After logging on, you are now ready to now run any of the experiments implemented on the Experiment Applications Board plugged into the Server. - EXPERIMENT SELECTION To view the available experiments and select one experiment left mouse click on the dropdown menu, as shown
- EXPERIMENT CONTROL SWITCHES Hover the mouse pointer over the switch, and left mouse click to open or close the switch.
POTENTIOMETERS Hover the mouse pointer over the potentiometer. Then, hold down the left mouse button and drag in the direction of the potentiometer body. The potentiometer wiper will move as the mouse pointer is moved.
- FUNCTION GENERATOR
Frequency Control HI/LO Frequency Range Amplitude Control HI/LO Amplitude Range Variable DC Voltage and DC Offset Control
Dropdown menu for waveform selection
Function Generator Waveforms:
- Sine wave - Square wave - Triangle wave
- PRBS Digital Data - Half sinewave - Noise signal
- DC Voltage - GND
LOAD
4 netCIRCUITlabs ™ REL2.2 Lab Manual
- TEST INSTRUMENT MEASUREMENTS OSCILLOSCOPE CONTROLS
OSCILLOSCOPE DISPLAY
With on-screen FREQUENCY and With on-screen CURSOR measurement giving TRMS VOLTAGE measurement of VOLTAGE and TIME measurement. the displayed waveform
CHA, B, C & D inputs; AC/DC input coupling;
CHA, B, C & D V/div attenuator setting; TIME and FREQ (SPECTRUM) display selection Normal and XY display mode TRIGGER source: CHA, B, C or D;
Timebase setting, and CHA, B, C & D Vrms and frequency measurement (displayed below timebase setting: not shown here)
Scope lead elasticity setting.
refresh toggle switch provides instant update of the oscilloscope display
Oscilloscope TIMEBASE setting; TRIGGER signal edge selection: RISE or FALL.
Position control for CHA (red) and CHB (blue), CHC (yellow) and CHD (purple): click and drag up/down. TRIGGER LEVEL (green) setting of the trigger level: drag up/down.
Experiment selection LOAD button.
Experiment specific documents.
User HELP information.
netCIRCUITlabs ™ REL2.2 Lab Manual 5
XY DISPLAY
XY display SPECTRUM DISPLAY
With on-screen FREQUENCY display of With on-screen CURSOR measurement of mouse pointer position. FREQUENCY. MULTIPLE USERS netCIRCUITlabs is a multi-user system, which shares the hardware with many users, serving each user independently. The number of current users currently logged-on is displayed on the netCIRCUITlabs CLIENT. CONCLUSIONS AFTER RUNNING THE FIRST netCIRCUITlabs EXPERIMENT Confirm that the experiment is operating correctly by varying the switches and potentiometers and viewing various signals at points around the experiment.
6 netCIRCUITlabs ™ REL2.2 Lab Manual
This page is intentionally blank.
Nam
e:
Cla
ss:
8.5
- T
he
dif
fe
re
nt
ial
am
pli
fie
r
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-2
Experiment 8.5 – The differential amplifier
The experiment
For this experiment you’ll verify the operation of the differential amplifier using DC input
voltages, then DC & AC input voltages.
It should take you about 45 minutes to complete the experiment.
Pre-requisites
Experiment 7.1 – Dynamic range
Experiment 7.3 – Input offset voltage and current
Experiment 7.4 – Common Mode
Experiment 8.1 – The inverting amplifier (desirable)
Equipment
A desktop PC, Laptop or Tablet with Google Chrome installed
Experiment 8.5 – The differential amplifier © Emona Instruments 8.2-3
Preliminary discussion
The differential amplifier is shown in Figure 1 below. This configuration is so-called because the
op amp’s output is the amplified difference between its input voltages.
Figure 1
The output voltage of the differential amplifier’s in Figure 1 can be predicted using the
equation:
1
4
21
R
RVinVinVout
Importantly, this equation works only when R2 is the same value as R1, and R3 is the same value
as R4. Where this is not the case, analysis by first principles must be used to predict the output
instead.
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-4
Note for new users
Hardware selection:
The experiment hardware is chosen using the drop-down list at the top of the page. The
hardware that you’ll be working with for this experiment is shown in Figure 2 below. It is
one of sixteen discrete circuits implemented on the board shown in the introduction.
Figure 2
Scope controls:
Clicking on the switches and buttons toggles them to the next setting. Clicking on a
circuit’s test point connects the assigned scope channel to that test point. To change
the channel assignment, simply click on the other channel’s input terminal (the test
point’s will all change colour from red to blue or blue to red accordingly).
Function generator controls:
The waveform is chosen using the drop-down list under the DC Voltage control. The
Function Generator’s potentiometer controls (represented by knobs) can be rotated by
positioning the mouse pointer over the knob, pressing and holding the left mouse button,
then moving the mouse. The knobs can also be repositioned instantly by placing the
mouser pointer to the where the knob’s marker needs to be and clicking once.
Switches
Switches are opened and closed by clicking on them.
Window sizing
Resize the window on your device so that the scroll bars are not needed. This will allow
you to see the whole page without having to scroll across or up and down.
Experiment 8.5 – The differential amplifier © Emona Instruments 8.2-5
Procedure
The differential amplifier circuit that you’ll be working with for this experiment is shown in
Figure 3 below. The circuit is the same as Figure 1 with the inclusion of switchable input
connections to two fixed DC voltages and the output of the function generator.
Figure 3
Part A – DC input voltages
This part of the experiment lets you observe the operation of the differential amplifier using
DC voltages for both inputs.
1. Launch Google Chrome on your PC, Laptop or Tablet.
2. Navigate to your department's netCIRCUITlabs Server.
Tip: Resize the window on your device so that the scroll bars are not needed. This will
allow you to see the whole page without having to scroll across or up and down.
3. Select the “Differential Amplifier” hardware from the drop-down list at the top of the
webpage.
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-6
4. Adjust the switches as follows:
SW1 in the up position so that the source for Vin 1 is one of the fixed DC voltages
(DC1 or DC2)
SW-DC in the up position so that Vin 1 (measured at TP1) is connected to DC1
SW2 in the down position so that the source for Vin 2 is the Function Generator
Note: Once done, your switches should look like the switches in Figure 3.
5. Connect the scope’s Channel A to the circuit’s TP1 (which is the differential amplifier’s
Vin 1).
Note: Clicking on a circuit’s test point connects the assigned scope channel to that test
point. To change the channel assignment, simply click on the other channel’s input terminal
(the test point’s will all change colour from red to blue or blue to red accordingly).
6. Make the appropriate adjustments to the scope to display the voltage at TP1. Ensure
that:
the Input Coupling controls for both channels are set to DC
the Voltage Scale control for both channels are set to 2V/div
Note: Clicking on the switches and buttons toggles them to the next setting.
7. Measure the DC voltage at TP1. Record your measurement in Table 1 on the next page.
8. Connect the scope’s Channel A to the Function Generator’s output (which is connected to
the differential amplifier’s Vin 2) and Channel B to the circuit’s output.
9. Adjust the Function Generator for a DC output voltage.
Note 1: This option is selected using the drop-down list under the DC Voltage control.
The size of the output voltage is adjusted by the combination of DC Voltage and Gain
controls and can range from -5V to +5V with approximately 0V on the output when the DC Voltage control’s knob is in the middle of its travel.
Experiment 8.5 – The differential amplifier © Emona Instruments 8.2-7
10. Adjust the Function Generator for +5V DC.
Note 1: You’ll have to adjust both the DC Voltage and Gain controls to obtain this
voltage.
Note 2: The DC Voltage and Gain controls can be rotated by positioning the mouse
pointer over the knob, pressing and holding the left mouse button, then moving the mouse.
The knobs can also be repositioned instantly by placing the mouser pointer to the where
the knob’s marker needs to be and clicking once.
Note 3: Use the direction of the trace’s deflection to determine the polarity of the input
voltage. The scope’s readout is an RMS value which ignores polarity.
11. Measure and record the circuit’s output voltage.
Note: Use the direction of the trace’s deflection to determine the polarity of the output
voltage.
12. Calculate and record the circuit’s theoretical output voltage.
Note: You can use the equation in the preliminary discussion to do this. Pay close
attention to the negative sign in front of the division of R4 by R1 – It’s easily missed.
13. Repeat Steps 10 to 12 for the remaining voltages in Table 1.
Note: The last voltage in the table is negative 1V and not positive 1V.
Table 1
Vin 1 (TP1) Vin 2 Measured output
voltage
Theoretical
output voltage
+5V
+4V
+3V
+2V
-1V
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-8
14. Adjust the switches as follows:
SW1 in the down position so that the source for Vin 1 is the Function Generator
SW2 in the up position so that the source for Vin 2 is DC1
15. Connect the scope’s Channel A to the circuit’s TP1 (which is the differential amplifier’s
Vin 2).
16. Measure the DC voltage at TP1. Record your measurement in Table 2 below.
17. Return the scope’s Channel A to the Function Generator’s output (which is connected to
the differential amplifier’s Vin 1) and check that Channel B is still connected to the
circuit’s output.
18. Repeat Steps 10 to 12 for the Vin 1 voltages listed in Table 2.
Table 2
Vin 1 Vin 2 (TP1) Measured output
voltage
Theoretical
output voltage
+5V
+4V
+3V
+2V
-1V
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
Experiment 8.5 – The differential amplifier © Emona Instruments 8.2-9
Question 1
Why are the polarities of the output voltages in Table 2 the reverse of the output
voltages in Table 1?
Vin 1 is effectively the subtrahend in the subtraction at the amplifier’s input.
Reversing the input voltages reverses the position of the variables in the
subtraction and hence reverses the polarity of the outcome (but not the magnitude).
Question 2
How do your measured voltages in Table 1 prove that the amplifier’s gain is -1?
The output voltage is the same as the difference between the input voltages
(with Vin 1 as the minuend) in all cases (ie Vout = Vin 1 – Vin 2).
Question 3
What two sets of two changes can be made to increase the amplifier’s gain to -2?
Either, increase R3 and R4 to 20k or reduce R1 and R2 to 5k.
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-10
19. Adjust SW1 so that it’s in the up position.
Note: This means that both Vin 1 and Vin 2 are connected to DC1.
20. Measure the circuit’s output voltage. Record your measurement in Table 3 below.
Note: You’ll need to adjust the scope’s Channel B Voltage Scale control to do this as
accurately as possible.
Table 3
Output voltage
Question 4
Why is the output voltage the value you measure?
The differential amplifier amplifies the difference between its inputs. When
the inputs are the same, there is no difference between them so the output
must be zero.
Question 5
What is the name for the small DC voltage that you measured on the output?
Output offset voltage.
Question 6
What are three causes of this small DC voltage on the output?
The resistors not being exactly the same as each other.
Input offset current.
Input offset voltage.
Experiment 8.5 – The differential amplifier © Emona Instruments 8.2-11
Part B – AC & DC input voltages
This part of the experiment lets you observe the operation of the differential amplifier using a
DC voltage for one input and a sinusoidal AC voltage for the other.
21. Adjust SW2 so that it’s in the down position.
Note: This means that Vin 2 is connected to the Function Generator.
22. Make the following adjustments to the scope:
set the Voltage Scale control for both channels to 2V/div
set the Timebase controls to 500µs/div
23. Adjust the Function Generator for a 5Vpp 1kHz sinewave.
Note: Remember that the scope’s measurement readout displays voltages in RMS. So,
before you adjust the Function Generator’s Amplitude control you’ll have to either: a)
Convert 5Vpp to RMS; or b) use the scope’s cursors to help you set the input voltage to
5Vpp.
24. Draw two cycles of the differential amplifier’s input and output signals on the graph
provided on the next page.
Note 1: Draw these signals to scale and show the DC offset on the output signal.
Note 2: Label the signals to indicate which one is Vin 2 and which one is the output.
25. Connect the scope’s Channel A to the circuit’s TP1 (which is the differential amplifier’s
Vin 1).
26. Draw and label the differential amplifier’s Vin 1 on the same graph paper.
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-12
Question 7
Why does subtracting a DC voltage from the signal on Vin 2 produce an output signal with
a DC offset?
As Vin 1 is effectively the subtrahend in the subtraction, the differential
amplifier subtracts the voltage on Vin 1 from all instantaneous voltages on
Vin 2. This produces an output that is lower than Vin 2 by the size of Vin 1.
Experiment 8.5 – The differential amplifier © Emona Instruments 8.2-13
27. Return the scope’s Channel A to the Function Generator’s output (which is connected to
the differential amplifier’s Vin 2) and Channel B to the circuit’s output.
28. Adjust SW-DC so that it’s in the down position and observe the effect on the output
signal.
Question 8
Predict the size of the DC2 voltage (connected to Vin 1) based on your observation at
Step 28.
It’s approaching 0V.
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e f in is h in g .
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
© Emona Instruments Experiment 8.5 – The differential amplifier 8.5-14
Nam
e:
Cla
ss:
10
.2 -
Du
ty
cy
cle
© Emona Instruments Experiment 10.2 – Duty cycle 10.2-2
Experiment 10.2 – Duty cycle
The experiment
For this experiment you’ll investigate the operation of a squarewave generator modified to allow
a variable duty cycle.
It should take you about 40 minutes to complete the experiment.
Pre-requisites
Experiment 7.1 – Dynamic range
Experiment 10.1 – Squarewave generation
Equipment
A desktop PC, Laptop or Tablet with Google Chrome installed
Preliminary discussion
A pulse train generator with an adjustable duty cycle is shown in Figure 1 below. The circuit is
based on the relaxation oscillator introduced in Experiment 10.1.
Figure 1
Experiment 10.2 – Duty cycle © Emona Instruments 10.2-3
If you compare the circuit of Figure 1 above with the circuit of Figure 2 in Experiment 10.1,
you’ll notice that they’re the same except for the inclusion of the potentiometer (VR1) and two
small signal diodes (D1 and D2).
Recall that the squarewave generator in Expt 10.1 produced an op amp output that alternates
between being positively and negatively saturated and the same is true for the op amp in this
circuit. When the op amp’s output is positively saturated, D2 is forward biased (while D1 is
reverse biased) and so the resistance path responsible for charging C1 is provided by the series
combination of R2 and the resistance between the end of the potentiometer connected to D2
and its wiper. During this time, C1 charges towards )6.0( VVDZ
.
When the potential difference across C1 exceeds the positive threshold voltage on the non-
inverting pin, the op amp’s output reverses and becomes negatively saturated. When this
happens, D1 is forward biased (and D2 is reverse biased) and the resistance path responsible
for charging C1 (in the opposite direction) is provided by the series combination of R2 and the
resistance between D1 and its wiper. Current flows in the opposite direction during this time and
C1 charges towards )6.0( VVDZ
.
When the potential difference across C1 exceeds the negative threshold voltage voltage on the
non-inverting pin, the op amp’s output reverses again and the process repeats.
Now suppose that the wiper of the potentiometer is set to exactly the middle of its travel. The
resistance path for charging the capacitor is exactly the same for a positively and negatively
saturated op amp output (and is equal to R2 plus half of the value of VR1) and so the time time it
takes the capacitor’s potential difference to reach to the positive and negative threshold
voltages is exactly the same. This produces a pulse train on the output with a duty cycle of 50%
(in other words, a squarewave) with a frequency that can be found using:
3
31
1
1
2
2ln
22
1
R
RRC
VRR
fo
When the wiper of the potentiometer is adjusted so that it’s off-centre, the resistance in one
charge path increases and the resistance in the other charge path decreases by exactly the
same amout. This in turn changes the time it takes the capacitor’s potential difference to reach
the threshold voltages with one increasing and the other decreasing by exactly the same amount
of time. This changes the duration that the op amp sits on the saturated output voltages which,
by extension, changes the duty cycle of the output waveform. Importantly, this occurs without
changing the output frequency.
© Emona Instruments Experiment 10.2 – Duty cycle 10.2-4
Knowing the operation of the circuit and applying a little algebra to the equation for calculating
duty cycle, the minimum and maximum duty cycles can be found using:
100
22
(min)
1
2
2
VR
R
RcycleDuty
Which can be simplified to:
1002
(min)
12
2
VRR
RcycleDuty
And:
100
22
(max)
1
2
12
VRR
VRRcycleDuty
Which can be simplified to:
1002
(min)
12
12
VRR
VRRcycleDuty
Experiment 10.2 – Duty cycle © Emona Instruments 10.2-5
Note for new users
Hardware selection:
The experiment hardware is chosen using the drop-down list at the top of the page. The
hardware that you’ll be working with for this experiment is shown in Figure 2 below. It is
one of sixteen discrete circuits implemented on the board shown in the introduction.
Figure 2
Scope controls:
Clicking on the switches and buttons toggles them to the next setting. Clicking on a
circuit’s test point connects the assigned scope channel to that test point. To change
the channel assignment, simply click on the other channel’s input terminal (the test
point’s will all change colour from red to blue or blue to red accordingly).
Function generator controls:
The waveform is chosen using the drop-down list under the DC Voltage control. The
Function Generator’s potentiometer controls (represented by knobs) can be rotated by
positioning the mouse pointer over the knob, pressing and holding the left mouse button,
then moving the mouse. The knobs can also be repositioned instantly by placing the
mouser pointer to the where the knob’s marker needs to be and clicking once.
Switches
Switches are opened and closed by clicking on them.
Window sizing
Resize the window on your device so that the scroll bars are not needed. This will allow
you to see the whole page without having to scroll across or up and down.
© Emona Instruments Experiment 10.2 – Duty cycle 10.2-6
Procedure
1. Launch Google Chrome on your PC, Laptop or Tablet.
2. Navigate to your department's netCIRCUITlabs Server.
Tip: Resize the window on your device so that the scroll bars are not needed. This will
allow you to see the whole page without having to scroll across or up and down.
3. Select the “Duty Cycle” hardware from the drop-down list at the top of the webpage.
4. Ensure that the scope’s Channel A is connected to the circuit’s TP1 and its Channel B to
TP2.
Note: Clicking on a circuit’s test point connects the assigned scope channel to that test
point. To change the channel assignment, simply click on the other channel’s input terminal
(the test point’s will all change colour from red to blue or blue to red accordingly).
5. Make the appropriate adjustments to the scope to display the differentiator’s input and
output voltages. Ensure that:
the Input Coupling controls for both channels are set to DC
the Voltage Scale control for both channels is set to 1V/div
the Timebase control is set to 500µs/div
Note: Clicking on the switches and buttons toggles them to the next setting.
6. Adjust VR1 so that the pulse train on TP2 resembles a squarewave (ie it has a duty cycle
of approximately 50%).
Note: This control (VR1) can be adjusted by positioning the mouse pointer over the pot’s
wiper, pressing and holding the left mouse button, then moving the mouse up and down.
Experiment 10.2 – Duty cycle © Emona Instruments 10.2-7
7. Calculate the pulse train generator’s theoretical output frequency given the component
values shown. Record your prediction in Table 1 below.
8. Record the pulse train generator’s measured output frequency.
Table 1
Theoretical
output frequency
Measured
output frequency
Question 1
List all of the components that set the pulse train generator’s frequency of oscillation.
C1, R1, R2, R4 & VR1
9. Calculate the pulse train generator’s theoretical minimum and maximum duty cycles.
Record your predictions in Table 2 below.
10. Use VR1 to set the duty cycle of the pulse train on TP2 to minimum.
11. Measure and record the pulse train’s duty cycle.
Note: A pulse train’s duty cycle can be determined by measurement and using the
equation:
100% Period
timeMarkcycleDuty
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
© Emona Instruments Experiment 10.2 – Duty cycle 10.2-8
12. Record the measured frequency of the pulse train output.
13. Use VR1 to set the duty cycle of the pulse train on TP2 to maximum then repeat Steps 11
and 12.
Table 2
Theoretical
duty cycle
Measured
duty cycle
Measured output
frequency
Minimum
Maximum
Question 2
Why doesn’t the pulse train’s frequency change as you vary the duty cycle?
Adjusting VR1 changes the mark and space times in equal but opposite
directions so the period of the waveform is always the same.
Question 3
What two circuit modifications could be made to reduce the pulse train generator’s range
of possible duty cycles (ie increase the minimum duty cycle figure and reduce the
maximum duty cycle figure)?
1) Increase the value of R2
2) Reduce the value of VR1
Experiment 10.2 – Duty cycle © Emona Instruments 10.2-9
Question 4
What other attribute of the pulse train generator’s performance may also be changed by
making the modifications that you gave in your answer to the question above.
The frequency of oscillation.
14. Adjust VR1 so that the pulse train on TP2 has a duty cycle of 50%.
15. Connect the scope’s Channel B to the circuit’s TP5 while leaving Channel A connected to
TP1.
16. Compare the two signals.
Question 5
Explain why the signals on TP1 and TP5 are the same amplitude.
The voltage on TP1 can never exceed the voltage on TP5 because it’s the
comparator’s reference/threshold voltage. The moment the voltage on TP1
exceeds this voltage in either polarity, the op amp’s output voltage reverses
polarity which in turn causes the direction of the signal on TP1 to reverse also.
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
© Emona Instruments Experiment 10.2 – Duty cycle 10.2-10
17. Connect the scope’s Channel B to the circuit’s TP3 while leaving Channel A connected to
TP1.
Note: The pulse train’s duty cycle should still be set to 50%.
18. Draw two cycles of the signals at TP1 and TP3 time coincident with each other on the
graph provided on the next page.
Note: Draw these signals to scale.
19. Connect the scope’s Channel B to the circuit’s TP4 while leaving Channel A connected to
TP1.
20. Draw two cycles of the signal at TP4 time coincident with the signal on TP1.
Note: Again, draw this signal to scale.
21. Indicate on the graphs of the signals for both TP3 and TP4 when the diodes D1 & D2 are
forward biased (on) and reverse biased (off).
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e c o n t in u in g .
Experiment 10.2 – Duty cycle © Emona Instruments 10.2-11
© Emona Instruments Experiment 10.2 – Duty cycle 10.2-12
Question 6
Why does the shape of the signals on TP3 and TP4 include a portion where the voltage is
fixed?
During this portion of the waveform, the diode is forward biased and so the
voltage at the test point connected to that diode (TP3 for D1 and TP4 for D2)
must be 0.6V closer to 0V than the voltage onTP2.
Question 7
Why does the shape of the signals on TP3 and TP4 include a portion where the voltage is
changing?
During this portion of the waveform, the diode is reverse biased and so the
voltage at the test point connected to that diode (TP3 for D1 and TP4 for D2)
must be the same at the voltage on the potentiometer’s wiper which is tracking
the voltage across C1.
A s k t h e in s t r u c t o r t o c h e c k
y o u r w o r k b e f o r e f in is h in g .
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