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Preface
Praise the Almighty God for all of His blessings in making the
completion of this student laboratory module possible. We would also like
to express our sincere thanks for the help from those who contributed in
providing the material content of this practicum properly.
We all hope that this laboratory module could increase the
knowledge and the experience of the readers and/or the practitioners of
Electronics Circuit laboratory Universitas Indonesia. Hopefully, in the
future, we could fix as well as improve the contents of this laboratory
module in order to be better.
Due to our limited knowledge and experience, we believe that there
is still a lot of deficiencies in this laboratory module. Therefore, we really
welcome any suggestions and criticisms from the readers and/or the
practitioners of Electronics Circuit laboratory Universitas Indonesia for
the perfection of this paper.
Depok, February 15th, 2017
Author
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Table of Contents
Cover ...................................................................................... i
Preface ................................................................................... ii
Table of Contents ................................................................... iii
Lab Management Structure ................................................... viii
Lab Rules and Regulations .................................................... x
Marking System ..................................................................... xii
Individual Module Marking ................................................... xiii
Module I – Introduction ......................................... 1
1. Practicum Objectives................................................... 1
2. Basic Theory Bullet Points .......................................... 1
3. Basic Theory ................................................................ 1
a. Equipments used in Electronics Circuit
Laboratory
i. Breadboard ............................................... 2
ii. Power Supply ............................................ 3
iii. Multimeter................................................ 4
iv. LCR Meter ................................................ 4
v. Oscilloscope .............................................. 5
vi. Function Generator .................................. 6
b. Components used in Electronics Circuit
Laboratory
i. Resistor ..................................................... 6
ii. Capacitor .................................................. 7
c. Introduction to Electronics Device
i. Structures of Atom ................................... 8
ii. Characteristics of Atom ............................ 10
iii. Mobility of Electron and Hole .................. 11
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iv. Atom Conductivity .................................... 12
v. Semiconductor Material ........................... 13
vi. Intrinsic and Extrinsic
Semiconductor ......................................... 14
vii. Carriers and Semicondcutor Types .......... 14
viii. PN Junction Diode ................................... 15
ix. Bias Mode and PN Junction Diode
Characteristics .......................................... 17
d. Practicum ........................................................... 19
e. Reference ........................................................... 19
Module II – Diode ................................................... 20
1. Practicum Objectives................................................... 20
2. Basic Theory Bullet Points .......................................... 20
3. Basic Theory ................................................................ 20
a. Type and Functions of Diode ............................. 20
b. Equivalent Circuit of Diode ............................... 21
c. Applications of Diode
i. Half Wave Rectifier Circuit ...................... 22
ii. Full Wave Rectifier Circuit ....................... 23
iii. Clippers Circuit ......................................... 24
iv. Clampers Circuit ....................................... 25
v. Voltage Regulator Circuit ......................... 26
4. Practicum .................................................................... 27
5. References ................................................................... 32
Module III – Bipolar Junction Transistor (BJT) ..... 33
1. Practicum Objectives................................................... 33
2. Basic Theory Bullet Points .......................................... 33
3. Basic Theory ................................................................ 33
a. Introduction ....................................................... 33
b. BJT Working Principle ...................................... 34
c. BJT Configuration ............................................. 35
i. Common Base ........................................... 35
ii. Common Emitter ...................................... 36
iii. Common Collector .................................... 37
d. BJT AC Analysis ................................................. 39
i. BJT Transistor Modelling......................... 39
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ii. Model Transistor Re ................................. 40
iii. Fixed Bias Common Emitter .................... 43
iv. Voltage Divider Bias CE ........................... 46
e. Practicum ........................................................... 48
f. BJT BC 107 Data Sheet ...................................... 52
g. References .......................................................... 54
Module IV – Field Effect Transistor (FET) .............. 53
1. Practicum Objectives................................................... 55
2. Basic Theory Bullet Points .......................................... 55
3. Basic Theory ................................................................ 55
a. Definition ........................................................... 55
b. FET and BJT Difference .................................... 56
c. Types of FET ...................................................... 55
i. JFET ......................................................... 56
ii. D-MOSFET ............................................... 61
iii. E-MOSFET ............................................... 63
d. AC FET Equivalent Circuit ................................. 66
4. Practicum .................................................................... 67
Module V – Frequency Response of BJT ................. 69
1. Practicum Objectives................................................... 69
2. Basic Theory Bullet Points .......................................... 69
3. Basic Theory ................................................................ 69
a. Decibel ............................................................... 69
b. Bode Diagram .................................................... 70
c. Frequency Response .......................................... 71
d. Frequency Response of BJT Voltage Divider
Cicrcuit ............................................................... 71
4. Practicum .................................................................... 74
5. Reference..................................................................... 76
Module VI – Frequency Response of FET ............... 77
1. Practicum Objectives................................................... 77
2. Basic Theory Bullet Points .......................................... 77
3. Basic Theory ............................................................... 77
a. Decibel ............................................................... 77
b. Bode Diagram .................................................... 78
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c. Frequency Response .......................................... 79
d. Low Frequency Response of FET Amplifier
........................................................................... 80
High Frequency Response of FET Amplifier
........................................................................... 81
4. Practicum .................................................................... 83
5. References ................................................................... 84
Module VII – Operational Amplifier ....................... 85
1. Practicum Objectives................................................... 85
2. Basic Theory Bullet Points .......................................... 85
3. Basic Theory ................................................................ 85
a. Introduction ....................................................... 85
b. Ideal Op-Amp .................................................... 87
c. Inverting Amplifier ............................................ 88
d. Non-inverting Amplifier .................................... 89
e. Integrator Circuit ............................................... 91
f. Differentiator Circuit ......................................... 91
g. Op-Amp Data Sheet ........................................... 93
4. Practicum .................................................................... 94
5. References ................................................................... 98
Module VIII – Active Filter ..................................... 99
1. Practicum Objectives................................................... 99
2. Basic Theory Bullet Points .......................................... 99
3. Basic Theory ................................................................ 99
a. Introduction ....................................................... 99
b. Sallen-Key Formula Derivation ......................... 103
c. Gain Block Diagram ........................................... 104
d. Ideal Transfer Function ..................................... 105
e. High Pass Filter Transfer Function and
Cutoff Frequency ............................................... 105
f. Low Pass Filter Transfer Function and
Cutoff Frequency ............................................... 106
4. Practicum .................................................................... 106
5. References ................................................................... 111
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Module IX – Application ......................................... 112
1. Practicum Objectives................................................... 112
2. Basic Theory Bullet Points .......................................... 112
3. Basic Theory ................................................................ 113
a. Light Sensor as Automatic Switch for 220V Lamp
................................................................................. 111
b. Astable Multivibrator with Discrete Component
................................................................................. 114
c. Astable Multivibrator with IC (Integrator Circuit)
LM555 ...................................................................... 118
d. Motor Driver with Optocoupler ............................... 121
4. References ......................................................................... 125
Modul X – Final Project .......................................... 126
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Laboratory Management Structure
1. Head of Universitas Indonesia Electronics Laboratory
Dr. Ir. Agus Santoso Tamsir, M.T.
2. Universitas Indonesia Electronics Laboratory Assistants
Alfiqie Tanjung (2013)
Arif Widianto (2013)
Heinz Kristian Pramono (2013)
Josef Stevanus Matondang (2013)
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Faisal Abdillah (2014)
Istighfari Dzikri (2014)
Kresna Devara (2014)
Michael Hariadi (2014)
Savira Ramadhanty (2014)
Yosua Adriadi (2014)
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Lab Rules and Regulations
1. Students are obliged to follow the entire sequence of Electronics Circuit Practicum
that consists of 5 (five) Practicum Modules.
2. Students are obliged to read the General Safety Guidelines and the General Safety
of each practicum module as to avoid unwanted things from occuring.
3. It is mandatory that each student dress modestly by wearing a collared shirt as
well as shoes during the course of the practicum.
4. Students are required to prepare all of the practicum materials from the
laboratory module, the materials learned in class, and other sources that are
relevant.
5. Students should bring the identity card of the practicum, the preliminary task, and
Basic Theory that are all collected by the respective lab assistant before the
practicum starts. The preliminary task will be given no later than 24 hours before
each shift begins.
6. Each student must bring the Basic Theory written on A4 paper using the given
format when going for the practicum, and that will be the supporting material
when starting the practicum. The Basic Theory will be labeled/stamped by the lab
assistants.
7. Each student who is in the same shift should bring a Power Point file that will later
be presented to the laboratory assistants at the beginning of the practicum
8. During the practicum, students are obliged to ask the lab assistants to check their
circuit/s before collecting data.
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9. Types of reason that are acceptable to be absent are being sick (must bring notes
from Doctor/Hospital), sudden disaster/tragedy, and force major (flood, heavy
earthquake, fire incident, etc).
10. Replacement of the practicum schedule due to valid reason are accepted, however,
new schedule must be decided along with the other group members.
11. Each student is obliged to fill the practicum attendance list and the practicum
report.
12. Tolerance for tardiness of each Practicum Module is 15 minutes. If the student is
late for more than 15 minutes without providing valid reasons, he/she could still
join the practicum of that module, but will get zero mark in the “borang”
form.
13. Students who want to change their practicum schedule could contact the
coordinator of the practicum. Schedule replacement is only permitted if the
students have valid reason/s that can be accepted by the assistant.
14. If the students do not join the practicum, their mark of that practicum module is
zero.
15. The result of the practicum is determined by the behavior and the activeness of
the students during the practicum, including the oral test before the practicum
starts. Behaviour that is prohibited include any actions which could interfere the
practicum itself such as making jokes, distracting other groups, leaving the lab
directly without tidying up the lab tools after the practicum, and lastly, playing
with gadgets.
16. Additional Tasks should be done in A4 paper and is put together on the lab report.
17. All absence permissions and complaints related to technical implementation of
the practicum module may be delivered to the coordinator of practicum, Savira
Ramadhanty (085746546788).
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Marking System
Each practicum module has weight percentage of:
Component Percentage
Basic Theory 10%
Preliminary Task 5%
Data Analysis 30%
Behavior, Practicum, Activeness, Oral test 40%
Additional Task 10%
Conclusion 5%
If a student does not enroll for 5 modules, he/she fails the practicum
(D/E).
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Marking Percentages of Each Module
Component Percentage
Module I Introduction 10 %
Module II Diode 10 %
Module III Bipolar Junction Transistor 10 %
Module IV Field Effect Transistor 10 %
Module V BJT Frequency Response 5 %
Module VI FET Frequency Response 5 %
Module VII Operational Amplifier 10 %
Module VIII Filter Circuit 10 %
Module IX Electronics Circuit Application 10 %
Module X Final Project 20 %
Total 100 %
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Module I
Introduction to Electronics Circuit Practicum (ECP)
1. Practicum Objectives
Know the tools that are used in ECP
Know the components that are used in ECP along with the
standards in reading and using them
Know and understand the basic theory of Electronics Device
2. Basic Theory Bullet Points
Equipments that are used in ECP
Components that are used in ECP
Basics of Electronics Device
3. Basic Theory
Equipments that are used in Electronics Circuit Practicum
Before the practicum begins, we all must know which equipments will
be used for the practicum, this time we will use the following equipments:
Breadboard
Power Supply
Multimeter
LCR Meter
Oscilloscope
Function generator
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1. Breadboard
Breadboard is an equipment that is used to create and test electronic
circuits in a quick manner (instantly), before the finalization of
circuit design is started. Breadboard has many holes that has a
function for placing components such as resistor or IC (Integrated
Circuit). Here is shown an example of a breadboard in general:
Figure 1.1 Breadboard
Breadboard is equipped with layer of metal strip that is placed
throughout the bottom of the board and connects the holes that are
on the top (surface) of the board. The layout of the metal strip is
shown below:
Figure 1.2 Metal strip Layout at the bottom of the Breadboard
The holes at the top and the bottom are connected horizontally,
however, the one in the lab has a separator/divider at the middle in
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which a jumper is needed to fully connect the horizontal path. As for
the holes placed in the middle, they are connected vertically and is
separated with the top and bottom holes as shown in figure 1.2.
2. Power Supply
The power supply gets the source of electricity from PLN with a
voltage value of 220V AC. There is transformer in the power supply
to reduce (step-down) the voltage. Aside from that, the power
supply is able to produce DC voltage, and there is fuse contained in
it to protect itself from being damaged due to the error in the
circuit.
Significant elements in a power supply consist of:
Power supply source
Vratings on power supply
Variable DC
Jumper
Source circuit +/-15 Volt
AC ground and DC ground
Figure 1.3 Power supply on protoboard
3. Multimeter
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Multimeter is used to measure voltage and current. There are
two types of Multimeter used, that is, the analog multimeter and the
digital multimeter. In general, the term multimeter refers to an
instrument that can be used as a voltmeter or an ammeter (ampere
meter). It is important to note that value which appears on the
multimeter is the RMS (root-mean-square) value. When measuring
voltage, the multimeter is connected in parallel. Whereas, when
measuring current, the multimeter is connected in series.
Figure 1.4 Multimeter on protoboard
4. LCR Meter
The LCR meter that is used in the lab is the digital LCR meter.
LCR meter can be used to measure the magnitude of inductance L
and capacitance C. There are 3 frequency measurements on the lab
LCR meter.
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Figure 1.5 Boonton 5100 LCR Meter
5. Oscilloscope
Oscilloscope is a laboratory instrument that is generally used for
describing and displaying graph of an electrical signal. The graph
below shows how signal changes with respect to time.
Figure 1.6 X, Y and Z components of the displayed waveform
The vertical axis (Y) represents voltage while the horizontal axis
(X) represents time. Intensity or brightness of the display of
oscilloscope is sometimes represents the Z axis. The voltage that
can be read from the oscilloscope is regarded as the peak-to-peak
voltage. For this Electonics Circuit Practicum, the oscilloscope used
is the analog one.
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Figure 1.7 Analog Oscilloscope
6. Function Generator
Function Generator obtains DC supply from the power supply.
Function Generator is able to produce signal with frequency range
up to 200 kHz. The types of wave that could be generated by the
power supply are sinusoidal, triangle, and square.
Significant elements in a function generator consist of:
Power source
Frequency Range
Wave types/forms
Grounding
Components that are used in Electronics Circuit Practicum
1. Resistor
Resistor is an electronic component whose function is to limit
the electrical current flow on an electronics circuit. Resistor could also
be used to give voltage that is specific for an active device, for instance,
a transistor. Symbol of resistor:
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The following shows how to read resistor bands:
Figure 1.8 Resistor bands reading
2. Capacitor
Capacitor is an electronic component whose function is to store
electrical charge. Capacitor is made of two conductors that are
separated by a material called dielectric. Capacitance due to a
capacitor is the amount of electrical charge stored in the capacitor
itself when it is given voltage that is as big as its source.
Capacitor is categorized into 2 groups, namely, polarized and
non-polarized. In general, capacitor with low capacitance value is
included in the non-polarized category.
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The following shows how to read capacitor:
Figure 1.9 Capacitor values reading
Introduction to Electronics Device
1. Structures of Atom
Everything that exists in nature, as we all know, is built by
elements in which elements are built by atoms. Atom is the smallest
possible matter in making up an object. When we were introduced to
atoms in high school, we acknowledged that there are sub-atomic
particles such as protons, electrons, and neutrons. Among said
particles, the only particle that is capable of moving is the electron.
That phenomenon leads to a possibility of an atom to lose or to gain an
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electron (or more). The atom which loses or gains an electron is called
ion. Ion that gains an electron is known as a negative ion, whereas, the
one which loses an electron is knwn as positive ion.
The structure of an atom can be described by the following
Bohr’s atomic model:
Figure 1.10 Atom structure: a. Silicon, b. Germanium,
c. Gallium and Arsenic
According to the above figure, the black dots are electrons and
the circular lines represent the energy levels in each atom. Electron is
a sub-atomic particle that is negatively charged. Electron constantly
moves and does not occupy the same energy level all the time.
Electrons can move between different energy levels. When an electron
leaves, it creates a hole. Hole is referred to as a positive charged sub-
atomic particle.
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2. Characteristics of Atom
Every matter can be described by using a band diagram
representation. Band diagram is an energy level representation of
atoms. Below is an example of a band diagram of a semiconductor
material:
Figure 1.11 Band Diagram
In figure 1.11, it is shown that a band diagram representation
consists of two major bands, namely, conduction band and valence
band. Those two bands are separated by an area known as the band
gap. Conduction band is an energy band where the electrons are able
to move freely. Whereas, valence band is an energy band where
electrons are found in static conditions, in other words, we can find
most of the electrons in valence band are in static conditions.
The separating area, band gap, is an area where electrons cannot
be found. This area represents the conductivity of an atom, and it
varies for each kinds of atoms. Band gap also represents the required
amount of energy to move an electron from the valence band to the
conduction band.
The amount of electrons found in valence band and holes found
in conduction band can be obtained by two factors. First, the density of
states of those particles in their respective bands should be known,
then the probability of states being filled by a particle for each levels is
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obtained. Density of states is the amount of electron states (that can be
filled by electrons) which is available in a certain energy level. From
the density of states, Fermi level of an atom (the energy level where
the probability of electrons/holes found is 50%) is obtained.
3. Mobility of Electron and Hole
The analogy commonly used to describe their mobility is a tube
filled with water. Water represents electrons and air represents holes.
No air will be left when the tube is completely filled with water and
when the tube is tilted, nothing moves. This also occurs when the tube
is empty. In both cases, no electrons and holes can move.
When the tube is filled half-full, with air filling the extra space,
and if the tube is tilted, it can be seen that the air also moves to
compensate the movement of water. In this case, electrons and holes
are able to move. This concludes that if a band is completely filled or
completely empty, no movement of electrons or holes shall occur.
Figure 1.12 Fluid Analogy
a. Completely filled and completely empty
b. Half filled
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4. Atom conductivity
As explained above, the conductivity of an atom is defined by the
band gap area in the band diagram. Wider band gap causes electron to
hardly move from valence band to conduction band, and vice versa.
Overlapping bands allow electrons to be able to move freely, this is a
characteristic of a conductor’s atoms.
Wide band gap prevents electron to move in between bands,
band gap distance correlates with the amount of energy needed to
move the electrons. We can see that there are no electrons at all in the
conduction band, and valence band is filled completely. Therefore, we
can conclude that this is a band gap of an insulator’s atoms (Eg > 3eV).
Band gap which distance between the bands are between the
distances of conducting materials’ atom and insulating materials’ atom
is one of the characteristics of a semiconductor’s atom. Semiconductor
material atoms can be controlled to be conducting or insulating
according to needs, the band gap varies around 2 electron volts (Eg <
2Ev).
Figure 1.13 Atom Conductivity Band Diagram
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5. Semicoductor Material
According to the illustration above, the elements that are
classified as semiconductor are Silicon (Si), Germanium (Ge), and also
a III-IV compound such as Galium Arsenide (GaAs). Silicon and
Germanium is called the elemental semiconductor, while Galium
Arsenide is a semiconductor that is formed by a covalent bond
between Galium and Arsenic.
Every semiconductor material has different band gap energies.
Acknowledge figure 5, although Germanium has a lower band gap
energy, it’s not used commonly in most electronics devices. The
availability of Germanium in nature is one of the reason it’s not
commonly used. GaAs has a bigger band gap, so in chip fabrication,
silicon is the mostly used. Besides its band gap, silicon can be found
abundantly in nature.
Figure 1.14 Semiconductor material band gap values
6. Intrinsic and Extrinsic Semiconductor
As explained before, the conductivity of a semiconductor can be
controlled precisely according to your needs. The conductivity is
controlled by adding the material with another atom. An intrinsic
semiconductor is a condition of a pure undoped semiconductor, while
extrinsic semiconductor is a semiconductor that has been doped by
another atom to change the electrical properties. The process of
adding another atom to a semiconductor material is called doping and
the atoms are called the dopants.
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There are two kinds of dopants, which are donors and acceptors.
Donor dopants have more valence electrons than the semiconductor
atoms, so that the doping process increases the amount of electrons in
the semiconductor materials. Donor dopants come from the group V of
the periodic table, such as Phosphorus or Sulphur and Arsenic.
Acceptor dopants have less valence electrons than the semiconductor
atoms, so that the doping process increases the amount of holes in the
semiconductor materials. Acceptor dopants come mostly from group
III of the periodic table, such as Boron, Galium, or Indium.
Applying dopants to intrinsic semiconductor causes a change in
Fermi level of the semiconductor material. If given some donor atoms,
the Fermi level will approach the conduction band, while given some
acceptor atoms, the Fermi level will move closer to the valence band.
7. Carriers and Semiconductor Types
Semiconductor that has been given an acceptor dopant is called
a p-type semiconductor, while a semiconductor material that has been
given a donor dopant is called an n-type semiconductor. Each type of
semiconductor has two kinds of carriers, namely, majority carriers and
minority carriers. Majority carriers represent the carrier that suits the
type of the semiconductor material. Majority carrier in a p-type
semiconductor is a hole, and the minority carrier is an electron, and
vice versa.
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8. PN Junction Diode
PN junction diode is considered as an electronic device
consisting of two types of semiconductor explained above that are
combined together.
Figure 1.15 P-Type & N-Type Semiconductor before and after contact
Figure above represents how two types of semiconductor are
combined together to become one entity. It can be observed that the
left figure before contact (System 1) is of N-Type while (System 2) is of
P-Type based on their Fermi level. On the contrary, the right figure
before contact does the vice versa.
In general, PN junction diode is fabricated with a condition
where one of its semiconductor, either P or N, is injected with higher
dopant than the other. For instance, the dopant of P-Type
semiconductor is higher than that of the N-Type semiconductor. When
those two semiconductors are mixed, the charges of each type of
semiconductors, P and N, which are accumulating on the contact
surface will eventually diffused into the other type of the
semiconductor; holes from P-Type diffuse into N-Type and vice versa.
As soon as the electron from the N-Type diffuses into the P-Type, it
leaves positive ion, whereas negative ion is formed due to the diffusion
of hole. The result is that positive ions are accumulated on the contact
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surface of the N-Type, while negative ions are accumulated on the
contact surface of the P-Type. The region which is filled with these ions
are called depletion region. This diode condition occurs at no biased
mode.
Figure 1.16 State After Contact (PN Junction Diode)
Hole and electron concentration becomes very small compared
with the concentration of the impurity on the depletion region resulted
by a very high electrostatic field. Electric field intensity directs from
the left to the right (Fig 1.15 left) or from the right to the left (Fig.6
right) due to the electric field, and this is defined as force on unit of
positive charge.
Under such condition, hole and electron will keep diffusing to
each other. If this keeps occurring, then the semiconductor which was
previously P-Type will become an N-Type and vice versa, and this is
considered as an incorrect case. The electric field created after
diffusion forces the hole and electron to return to its original place, so
that the total current in this condition has a value of zero. This will
then diffuse again and so on. Current that is resulted due to the
presence of electric field is called drift current.
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9. Bias Mode and PN Junction Diode Characteristics
There are 3 bias modes of PN junction diode, they are; no biased,
forward biased, and reverse biased. The no biased mode has already
been explained above. The forward biased mode occurs when the
diode is powered correspondingly to the polarity of the power supply
(+ve & -ve diode terminal connected with +ve & -ve terminal of power
supply accordingly). P-Type region with positive terminal and N-Type
region with negative terminal of the power supply. In reverse biased
mode, the diode is connected to the power supply with the opposite
polarity of the power supply (+ve & -ve diode terminal connected with
-ve & +ve terminal of power supply accordingly).
When diode is powered on specific voltage level in forward
biased mode, the corresponding voltage value forces the electron on N-
Type and hole on P-Type to recombine with the ions at the depletion
region. As a result, the depletion region becomes narrower. Charge
that comes from the power supply creates the P-Type to be more
positive (more number of holes) and the N-Type region to be more
negative (more number of electrons). As the potential of the power
supply increases, charges that are recombining become more and
more allowing the charges to flow in the depletion region (depletion
layer is getting more narrow). This results the majority carrier of each
region to easily passes the depletion region creating surge of current
that flows through the diode.
When diode is powered on specific voltage level in reverse
biased mode, the amount of positive ions on the depletion region are
greatly increased due to the attraction of free electrons of N-Type with
the positive potential of the voltage supply. This can be assumed when
the positive potential charge, hole, enters the N-Type region, then
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electron will fill the hole on that region. In the same manner with the
no biased mode, when electron leaves its position, positive ions will be
formed. The same explanation also applies for the P-Type region, so
that the depletion region becomes increasingly wide. The widening of
depletion region causes the majority carrier of each region to have
difficulty in passing through the depletion region which results in an
almost zero amount of current flowing.
Figure 1.17 Characteristics Curve of Diode
The above figure explains the characteristics curve of diode that
is made of different basic materials. The positive x-axis (positive V
axis) shows the condition at forward biased mode and the negative x-
axis (negative V axis) shows the condition at reverse biased mode. It
can be observed that when positive potential is given, the current does
not flow directly through the diode until the positive potential reaches
a specific value. After the positive potential reaches that specific value,
only then the current flows though the diode in which this is referred
to as on-state. When the polarity is reversed, amount of current that
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flows through the diode will be very small nearly approaches zero and
this is referred to as off-state. However, if the potential value is kept
getting increased until a very specific high value is reached, there will
be surge of current taking place. This surge of current is caused due to
enhancement of the movement speed of the minority carriers (the
carriers that move in reverse biased mode are the minority carriers),
that is able to change the atomic structure more stable giving rise to an
additional carrier, and valence electron which experiences ionization
process. That extra carrier can help the ionization process at a point
where the corresponding current surge occurs. The area in which the
point of current surge on reverse biased mode occurs is called
breakdown region. This breakdown region point could be reduced by
increasing the dopant atom on both regions of diode. Breakdown
region has a smaller point of breakdown referred to as Zener region.
4. Practicum
For this module, the practicum will be substituted with a pre-test on
Friday, February 10th, 2017.
5. Reference
1. Modul Praktikum Rangkaian Elektronika, 2015
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Module II
Diode
1. Practicum Objectives
Understand the fundamental concept of PN Junction: Diode
Understand the bias mode of Diode
Understand the application of Diode
2. Basic Theory Bullet Points
Understanding the concept of charge transfer
Understanding the bias on PN Junction
Understanding the characteristic curve of PN Junction
Understanding the equivalent circuit of PN Junction
Understanding the operating point of PN Junction on a circuit
Understanding PN Junction as rectifier
Understanding PN Junction as a voltage level converter
Understanding PN Junction as a voltage regulator
3. Basic Theory
3.1 Type and Functions of Diode
Based on the characteristics curve of diode, there are two types
of diode, namely:
1. Diode (ordinary)
Possesses main function as current rectifier and switch.
Mostly used to covert AC voltage into DC voltage by utilizing
both functions.
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2. Zener diode
Considered as a diode that works on breakdown region
with smaller point of breakdown. Possesses main function to
regulate voltage (voltage regulator).
3.2 Equivalent Circuit of Diode
There are 3 types of diode equivalent circuit:
1. Piecewise-linear
2. Simplified
3. Ideal
Figure 9. Diode Equivalent Circuit
(b) simplified
(c) ideal
22
3.3 Diode Application
3.3.1. Half-Wave Rectifier Circuit
It has been explained that a diode functions mainly as a
current rectifier. HWRC is considered as a circuit with its
components composed of diodes in which the input signal is a
sinusoidal signal (AC signal) and the output is the half wave of DC
signal.
Figure 10. Half-Wave Rectifier Circuit
Figure on the left explains the input sinusoidal signal. When
input is given at interval of 0 – T/2 (positive cycle), current from the
source will flow through the diode (assumed to be ideal) because
during that respective cycle the diode is powered in forward biased
mode, so that diode is considered short and eventually voltage enters the
resistor. When input is given at interval T/2 – T (negative cycle), current
from the source does not flow through the diode because it is in reverse
biased mode, so the diode is considered as open and voltage does not enter
the resistor. If input is continued to be given, then the result will be
seen as the following figure:
23
Figure 11. Result of HWRC
3.3.2. Full-Wave Rectifier Circuit
FWRC is a circuit where its components consist of diodes
where the input signal is a sinusoidal signal (AC) and the output
signal is a full wave DC signal.
Figure 13. Full-Wave Rectifier Circuit
The working principle of FWRC is similar to HWRC,
however, in FWRC the diode should be analyzed first to decide
which diode is open and which diode is close. The result is that
the resistor polarity (output) does not change, either on the
positive cycle or the negative cycle, producing the result as a full
wave.
24
Figure 14. Result of FWRC
3.3.3. Clippers Circuit
CC is a circuit where the components consist of a diode
that has a function to shift the level of polarity turnover from the
given input signal into the circuit and clamps (forces) the output
voltage value constant on a specific value on specific input signal
cycle. There are two types of CC configuration, that is, input
signal connected in series with the diode and the one connected
in parallel. HWRC is considered as CC that is connected in series.
Figure 16. Series (left) & Parallel (right) of Clippers Circuit
In series configuration, the DC supply is connected in the
same direction with the diode. When the positive input enters
the circuit and if the value is less than the DC supply, then the
diode is in the on-state. By using the KVL rule, the output value
could eventually be obtained. When the value exceeds the DC
supply’s, the diode is in the off-state, so that the output value is 0
V. In this case, CC acts as the shifter of the level of polarity
turnover from the given input signal.
25
In the parallel configuration, the DC supply is attached
opposite in direction to that of the diode. When the positive
input enters the circuit, the diode is on, so that it is considered
close. As the output is connected parallel with the DC supply,
then the output value is equal to that of the DC supply if the
input value exceeds the DC supply’s. When the input is negative,
then the output value will be the same as the input value.
3.3.4. Clampers Circuit
CLC is considered as a circuit which comprises of diode as
well as capacitor that shifts the input voltage level without
changing the original form. For instance, if the input sinusoidal
signal has an amplitude of 20 V (peak-to-peak 40V), then the
output voltage level is the result of shifting of the input signal
with peak-to-peak that is constant (40 V).
Figure 18. Clampers Circuit
First step is to assume the initial state of diode. In the
above figure, it is seen that the diode is on the positive cycle.
During this cycle, the capacitor will undergo charging until it has
26
a value equal to that of the input during period т = RC. So that,
the circuit can function well by fulfilling the period of the input
signal.
In the above figure, RC has a small value because the
resistor is shorted due to diode. The value of output is 0 V due to
the parallel attachment with the diode.
During the negative cycle, the capacitor will experience
discharging and the diode will eventually be in the off-state. The
output value can be obtained by applying the KVL rule in which
the value is the total of input signal and capacitor. The clamping
result is shown in the figure at the top right corner.
3.3.5. Voltage Regulator Circuit
VRC is considered as a circuit which applies Zener diode in
order to regulate the voltage output.
Figure 20. Voltage Regulator Circuit
Compared to the other circuit, VRC uses the DC supply so
that the current passes through the diode in one direction only.
The analysis of this circuit starts by assuming that the Zener
diode is in the open state. Then, the output value is calculated by
using the KVL rule. The Zener diode has a voltage specification
that is constant. If the output value is equal to or more than the
Zener diode voltage, then the Zener diode is in active state and
27
its output value is equal to the Zener diode voltage value due to
its parallel connection. If it is less, then the Zener diode becomes
off.
4. Practicum
HALF-WAVE RECTIFIER CIRCUIT EXPERIMENT
Tools and Equipments:
o 1 protoboard & oscilloscope
o 1 diode (1N4002 / 1N4007 / 1N4148)
o 1 resistor (10K)
Experiment Steps:
1. Arrange the circuit as shown in figure 12!
2. Connect the jumper cable on the 12V AC generator, then connect it
to the anode of the diode!
3. Connect the jumper cable on the 0V AC Generator, then connect it
to the ground!
4. Connect the jumper cable at the cathode of the diode, then connect
them with probe & oscilloscope!
5. Connect the jumper cable at the ground terminal, then connect
them with the probe - oscilloscope!
6. When done, ask for assistance to check the circuit!
7. Power up the protoboard only when the assistant gives
permission to use the circuit!
8. Observe the result on the oscilloscope!
28
Figure 12. HWRC Circuit Experiment
FULL-WAVE RECTIFIER CIRCUIT EXPERIMENT
Tools and Equipments:
o 1 protoboard & oscilloscope
o 4 diodes (1N4002 / 1N4007 / 1N4148)
o 1 resistor (10K)
Experiment Steps:
1. Arrange the circuit as shown in figure 15!
2. Connect the jumper cable on the 12V AC generator, then create a
node connecting D12 and D13!
3. Connect the jumper cable on the 0V AC generator, then create a
node connecting D14 and D15!
4. Connect the jumper cable at the cathode of the diode, then connect
them with probe & oscilloscope!
5. Connect the jumper cable at the ground terminal, then connect
them with the probe - oscilloscope!
6. When done, ask for assistance to check the circuit!
7. Power up the protoboard only when the assistant gives
permission to use the circuit!
29
8. Observe the result on the oscilloscope!
Figure 15. FWRC Circuit Experiment
CLIPPERS CIRCUIT EXPERIMENT
Tools and Equipments:
o 1 protoboard & oscilloscope
o 1 dioda (1N4002 / 1N4007)
o 1 resistor (10K)
o 1 resistor (1K)
o 1 DC Supply
Experiment Steps:
1. Arrange the circuit as shown in figure 17!
2. Follow the steps of HWRC!
3. Repeat the experiment by inversing the direction of the diode!
30
Figure 17. Clippers Circuit Experiment
CLAMPERS CIRCUIT EXPERIMENT
Tools and Equipments:
o 1 protoboard & oscilloscope
o 1 diode (1N4002 / 1N4007)
o 1 resistor (22K)
o 1 DC Supply
o 1 capacitor (10 uF)
Experiment Steps:
1. Arrange the circuit as shown in figure 19!
2. Follow the steps of HWRC!
3. Repeat the experiment by inversing the direction of the diode!
4. Arrange the circuit as shown in figure 20!
Figure 19. Positive Clampers Circuit Experiment
31
Figure 20. Negative Clampers Circuit Experiment
Figure 21. Negative DC Bias Clampers Circuit Experiment
VOLTAGE REGULATOR CIRCUIT EXPERIMENT Tools and Equipments:
o 1 protoboard & oscilloscope
o 1 zener diode (1N4732)
o 1 resistor (10K)
o 1 resistor (100K)
o 1 DC Supply
32
Experiment Steps:
o Arrange the circuit as shown in figure 22!
o Follow the steps of HWRC!
Figure 22. Voltage Regulator Circuit Experiment
Note: Study all the written materials of the basic theory
bullet points. Understanding of each written materials is
OBLIGATORY, and will be tested before the practicum begins.
All of the laboratory assistants have the right to give
punishments to the students who do not study the materials
beforehand.
5. References
Boylestad, Robert L., Nashelsky, Louis. 2013. ELECTRONIC
DEVICES & CIRCUIT THEORY, Eleventh Edition. United States :
Pearson.
Kano, Kanaan. - . SEMICONDUCTOR DEVICES. United States :
Prentice Hall
Pierret, R. F.. 1996 . SEMICONDUCTOR DEVICES FUNDAMENTALS.
- : Addison Weasley.
33
Module III
Bipolar Junction Transistor (BJT)
1. Practicum Objectives
Understand the working principle of bipolar junction transistor
Observe and understand the DC Biased on transistor
Observe and understand the working principle of Bipolar transistor as
amplifier
Observe circuit principle of the logic circuit through BJT
2. Basic Theory Bullet Points
Definition of Bipolar Junction Transistor
Explanation of BJT Band Diagram
Working Principle of PNP type and NPN type BJT
Characteristics of each BJT circuit configuration
BJT Symbol, Packaging, and Terminal Identification
BJT application on Logic Gate (NOT, AND, OR, NAND, NOR)
Datasheet summary of BJT BC-107
3. Basic Theory
3.1. Introduction
Transistor is a semiconductor device that functions as a current,
voltage, and signal amplifier. BJT (Bipolar Junction Transistor) is one of the
most used transistors. The term ‘Bipolar’ means that the transistor
includes both electrons and holes in its operation, while other types of
transistor only include either electrons or holes. Whereas, if the process
involves only one carrier (either electron or hole), then it is called unipolar.
34
BJT is a 3-layer transistor consisting of 2 n-type layers and 1 p-type
layer (NPN transistor) or 2 p-type layers and 1 n-type layer (PNP layer).
BJT layers consist of emitter, base, and collector. Emitter acts as the source
of majority carrier and is heavily doped (1019/cm3). Base is doped lightly
and made as thin layer in order to make small transient time and prevent
recombination. Collector is doped less heavily than transistor but its layer
made larger in order to reduce dissipation.
3.2. Working Principle of Bipolar Junction Transistor
Figure 1. The flow of majority and minority carrier in PNP transistor
The working principle of above BJT is described by using the minority
and majority carriers on PNP-type BJT. By observing closely, it is seen that
there are two p-n junctions having depletion region of different width on
BJT. In forward active mode, one of the p-n junction of a transistor is given
forward biased while the other is given reverse biased. When the the two
p-n junction are given potential voltage, there will be flow of minority and
majority carrier occurring. As explained in the previous module about p-n
junction process, when p-n junction is given forward biased then a number
of majority carrier will diffuse from p type to n type material due to narrow
depletion layer. Carriers that diffuse will directly contribute to the base
35
current IB or directly heading to p-type material. Due to n-type material
having small thickness and low conductivity, the current flowing towards
the base terminal will be very small. The majority carrier will act as
minority carrier when it is in n-type material. It can be said that minority
carrier injection has occurred in n-type material. Therefore, all of the
minority carrier in depletion region (base-collector) will pass thorough the
reverse-biased junction which eventually heading towards the collector
terminal or referred to as drift current.
Figure 2. PNP Transistor Band Diagram
3.3. Bipolar Junction Transistor Configuration
Basically, the bipolar transistor is used as amplifier which consists of
three basic configurations, namely; common base, common emitter, dan
common collector.
3.3.1. Common Base Configuration
By its name, the term Common Base configuration is referred to
a configuration in which the Base pin is connected to the ground
terminal and is used in conjunction either for input or output. In
Common Base configuration, the input signal is inserted into the
Emitter and its output signal is taken from the Collector, while the
36
Base is connected to ground terminal. Thus, the term Common Base
is often referred to as “Grounded Base”.
Figure 3. Common Base Configuration (PNP)
This Common Base Configuration results in Voltage
amplification between the input and output signal, yet it does not
result in current amplification.
3.3.2. Common Emitter Configuration
Common Emitter is one of the three transistor configuration in
which the Emitter pin is grounded and is being used for the input
and output. In Common Emitter configuration the input signal is
inserted to the Base and the output signal is obtained from the
Collector pin.
37
Figure 4. Common Emitter Configuration (PNP)
The Common Emitter configuration or shared Emitter is
considered as one of transistor configuration that is mostly used,
mainly on amplifier which requires voltage and current
amplification simultaneously. This is due to the transistor
configuration of this kind to produce voltage amplification and
current amplification between the input and output signal.
3.3.3. Common Collector Configuration
On a Common Collector configuration, its input is connected to
the transistor base while its output is obtained from the transistor
emitter while its collector is grounded and is used together either
for the input or the output.
38
Figure 5. Common Collector Configuration (PNP)
This Common Collector configuration or shared Collector
possesses behavior and function that are opposite to that of a
common Base. If Common Base could result in voltage amplification
without amplifying the current, then this Common Collector has a
function which could produce current amplification without its
voltage getting amplified.
39
3.4. BJT AC Analysis
3.4.1. BJT Transistor Modeling
Model is an approach towards combination of electronics circuit
combination chosen to describe or illustrate how a semiconductor
component works under certain conditions or circumstances.
Untuk menentukan parameter dari tiap rangkaian, dapat To
determine the parameter of each circuit, kutub empat method
could be used empat.
Equivalent AC circuit of a transistor could be obtained by applying
the steps below:
1. Replace all DC source to zero (ground) and replace it with
equivalent short-circuit.
2. Replace all of the capacitor with short-cicuit.
40
3. Take out all of the elements which has been passed by the
components that have been changed into short-circuit according in
step 1 & 2.
4. Make the circuit diagram neat, so that it is more easy to
understand.
3.4.2. Transistor Model re (Common Emitter)
1. Determine the equivalent circuit of BJT
2. Determine the value of Zi
41
So that the circuit could be spruced up as shown below:
3. Determine the initial voltage value and the output impedance
42
The “Q” sign indicates that the voltage position begins to have a
steady rise. However, due to VA having a value way more than
that of VCEQ, then it can be written as:
Or gradient method can be applied (Slope of the line)
So that the equivalent circuit finally looks as below
43
3.4.3. Fixed Bias Common Emitter Configuration
The fixed-bias circuit on figure 4.2 is considered as the most
simplest DC bias transistor. Although the circuit uses an npn
transistor, all of the equation and calculation are similar just like
when using a pnp transistor configuration with only changing all
of its direction of current and its polarity of voltage.
All of the direction of current on figure 4.2 are the actual current
directions, and the voltages are defnined as double-subscript
standard notation. Fo DC analysis, the circuit could be isolated
from the AC signal by replacing the corresponding capacitors with
an equivalent open circuit because basically the reactance of a
44
capacitor is a function of the applied frequency. For DC,
.
Moreover, DC source Vcc could be split into two sources as
shown in figure 4.3 in order to allow a seperation from the input
and ouput circuit. Such separation could as well reduce the
relation between the two sources with respect to base current .
45
Steps of Parameter Calculation on Fixed Bias CE:
1. Change the original circuit into an equivalent circuit form
2. Determine input and output impedance (Zi & Zo)
46
3. Determine voltage gain (Av)
The “minus” sign is due to inverted Io polarity βIb.
3.4.4. Voltage Divider Bias Common Emitter Configuration
This configuration uses two resistors as potential difference
divider on voltage supply in order to supply an amount of voltage
required by the base of BJT. This configuration is commonly used
as an amplifier circuit.
By using this method, the effect resulted from difference in beta
value (β) is vastly reduced by restraining the bias on the base with
a constant value of voltage, so that a proper stability is achieved.
The voltage value on Base (Vb) is specified by the voltage divider
47
formed by the two resistors (R1 & R2) as well as the voltage source
(Vcc).
Steps of Parameter Calculation on Fixed Bias CE:
1. Change the original circuit into an equivalent circuit
2. Determine Thevenn resistance (Rth) at the base of BJT
3. Determine input and output impedance (Zi & Zo)
48
4. Determine the voltage gain (Av)
4. Practicum
Tools and Equipments:
o Power supply DC
o Multimeter
o Oscilloscope
o Bread board
o LED
o Resistor
o BC107
49
Voltage Divider Common Emitter
Figure 1. (a) Common-emitter Circuit (b) Equivalent Circuit
Connect the amplifier circuit CE to the function generator as in
Figure 4. Adjust it so that V1 = 10 volt and f = 1 kHz.
Figure 2. Transformation Circuit CE-1
Repeat the above step with different frequencies.
Logic Circuit
Aside from being used for amplifier circuit, transistor is often used in
switching process. In general, switching process is used in digital
application, that is to assemble logic gates circuit.
50
o NOT Gate
o AND Gate
51
o OR Gate
o NAND Gate
52
o NOR Gate
Connect the NOT logic circuit as shown in the above figure.
Carefully observe the output (indicated by the on or off state of the
LED) for each input combination.
Write down the result on a given piece of paper.
5. BJT BC 107 Data Sheet
Philips Semiconductors Product specification
NPN general purpose transistors BC107; BC108; BC109
FEATURES
Low current (max. 100 mA)
Low voltage (max. 45 V).
APPLICATIONS General purpose switching and amplification.
DESCRIPTION NPN transistor in a TO-18; SOT18 metal package. PNP complement: BC177.
53
QUICK REFERENCE DATA
SYMBOL PARAMETER CONDITIONS MIN. MAX. UNIT
VCBO collector-base voltage open emitter
BC107 50 V
BC108; BC109 30 V
VCEO collector-emitter voltage open base
BC107 45 V
BC108; BC109 20 V
ICM peak collector current 200 mA P
tot total power dissipation Tamb 25 C 300 mW h
FE DC current gain IC = 2 mA; VCE = 5 V BC107 110 450
BC108 110 800
BC109 200 800
fT transition frequency IC = 10 mA; VCE = 5 V; f = 100 MHz 100 MHz
54
6. References
Boylestad, Robert L., Nashelsky, Louis. 2013. ELECTRONIC DEVICES &
CIRCUIT THEORY, Eleventh Edition. United States : Pearson.
Alexander, Charles K., Sadiku, Matthew N.O. (2009). Fundamental of
Electric Circuit ( Fourth Edition). New York : McGraw-Hill.
Floyd.2001. “Electronics Fundamentals Circuit, Devices, and
Application”.New Jersey:Printice Hall, Inc.
http://hyperphysics.phy-
astr.gsu.edu/hbase/electronic/opampi.html#c2
http://www.electronics-tutorials.ws/amplifier/amp_2.html
BJT Datasheet Catalog – BC107
55
Module IV
Field Effect Transistor (FET)
1. Practicum Objectives
Understand working principle of JFET and MOSFET.
Observe and understand DC bias on JFET and MOSFET.
Observe and understand working principle of JFET and E-MOSFET as
amplifier.
2. Basic Theory Bullet Points
Definiton of FET
Working Principle of FET
Difference between BJT dan FET
Types of FET (Construction and Characteristic Curve)
AC Analysis of FET
3. Basic Theory
3.1. Definition
FET (Field Effect Trasistor) is an active electronic component
that is commonly used as an amplifier as well as a switching circuit.
FET is considered as a type of transistor that uses electric field
effect in in its application as amplifier or as switching circuit and is
referred to a unipolar component.
56
3.2. Difference of FET and BJT
Figure 1. BJT as current regulator and FET as voltage regulator
FET BJT
Transform voltage into current
Transform current into current
VCCS CCCS
Unipolar Bipolar
Faster switching Slower switching
3.3. Types of FET
3.3.1. Junction Field Effect Transistor (J-FET)
Construction
57
JFET is a semiconductor device which consists of three
terminals in which one of the terminals has an ability to
control current on the other terminals. The above figure is
an n-type JFET on the channel part and a p-type material
that forms the depletion region. At the top part there is
drain (D) and the bottom part there is source (S) that is
connected with the ohmic contact. The two parts of p-type
material is connected with the gate terminal (G). As for the
working principle of JFET, it will be explained by using the
following charactersistic and transfer curve.
58
Transfer Curve and Characteristic
In the above figure of transfer curve and characteristic,
it is clearly observed that the positive voltage is given on
VDS and VGS = 0V resulting in gate condition and source to
have the same potential and the resulted depletion region
is very low in which current is eventually able to flow.
59
Pinch-off condition is a condition when current from
the source to the drain is not able to flow due to the
increasing of the depletion region on p-type material. (VGS
= 0V, VDS = VP)
60
Significant Formulas
61
3.3.2. Depletion-type MOSFET (D-MOSFET)
Construction
The above figure shows the construction of an n-
channel depletion-type MOSFET. The p-type substrate is
made from silicon. The source and drain terminals are
connected with the metal part as their contacts. The gate
terminal is as well connected to the metal contact, but is it
is different from the previous ones, because in this case
there is an insulator layer (SiO2) which has a function in
avoiding any direct electrical connection between the gate
and the channel on MOSFET. The working principle of D-
MOSFET is shown below along with the transfer curve and
the characteristic.
62
Transfer Curve and Characteristic
The VGS voltage is given 0V with direct connection
from one of the terminal to the other. VDD voltage is
connected with the drain-source terminal. The result is the
attraction of free electrons on n-channel with positive
voltage at drain terminal. Current is resulted just as similar
as the JFET through the channel. The resulted current with
VGS = 0V is IDSS.
63
When D-MOSFET is given negative voltage at the gate
terminal, then free electrons at the gate will be reduced.
This is due to when negative voltage is given, the electrons
will move away from the channel towards p-substrate and
cause recombination with the hole to occur.
3.3.3. Enhancement-type MOSFET (E-MOSFET)
Construction
64
Although by construction E-MOSFET has a similarity
with D-MOSFET, they differ in characteristic. The transfer
curve of E-MOSFET is not specified based on Shockley
equation, and current from source to drain will not flow
until a minimum voltage on the gate-source terminal is
reached.
The difference on the construction of E-MOSFET is
observed by the absence of channel that connects source
and drain. Hoever, metal contact is still used on the source
and the drain terminal. The gate is limited by the presence
of SiO2 insulator. Apart from difference of the channel,
other part of E-MOSFET are similar to that of D-MOSFET.
How current is able to flow from source to drain in an E-
MOSFET will be explained below.
Transfer Curve and Characteristic
65
From the graph, it is clearly observed there is a
difference in its transfer curve, that is, the presence of VT
as the minimum voltage so that E-MOSFET could operate.
The limit voltage or threshold is considered as the
required minimum voltage of E-MOSFET, so that channel
between source-drain could be formed. Electron is pulled
upward when gate is given positive voltage and depletion
region pushes the holes in order to act as a boundary with
the p-substrate.
Significant Formulas
66
How to Measure IDSS
1. The Gate and Source pins are short linked.
2. Connect the negative pole (-) of power supply to Gate
and Source node.
3. Connect the negative cable (-) of multimeter to Drain
pin of the JFET.
4. Connect the positive cable (+) of multimeter to positive
pole (+) of the battery.
5. Do not forget to set the multimeter on mA.
AC FET Equivalent Circuit
After doing the DC analysis on FET and making sure that
the FET is working on saturation condition (active), AC
analysis is then used to observe how big is the
current/voltage amplification that is resulted by the FET.
The form of AC equivalent circuit of JFET is shown below.
67
4. Practicum
Experiment Steps
1. Arrange the circuit as shown below.
2. Measure Va, Vb, IDSS, VP, and VT.
68
o J-FET Common Drain
o E-MOSFET Common Source
69
Module V
Frequency Response of Bipolar Junction Transistor (BJT)
1. Practicum Objectives
Understand frequency response analysis by using bode plot
Understanding low frequency response for BJT amplification
Understanding high frequency response for BJT amplification
2. Basic Theory Bullet Points
Decibel and bode diagram
Frequency response
Frequency response at BJTs voltage divider circuit
DC and AC analysis (high and low frequency) for BJT circuit
Capacitance which occurs on BJT circuit
Characteristic curve toward the amplification of BJT circuit
3. Basic Theory
3.1 Decibel
Decibel (dB) is a unit for power or audio which relates to the
logarithm basis of output and input from a system. It can be
written as follows
70
or from the ratio of voltage can be written as
The ratio with Decibel unit usually used to acknowledge the
amplification of a system (Av) where the result could either be
strengthening (>0dB) or weakening (<0dB). It relates to the
frequency analysis and bode plot. The ratio of input and output
could be observed at the following table
Table 5.1 Ratio of Av = Vo/Vi towards Db
3.2 Bode Diagram
It is a method by using graph analysis in the region of
frequency so that one could easily specified the characteristic of
the circuit occurs on a certain frequency. Creating the bode
diagram typically using semilog paper. Graph shown in Figure
5.1 shows change in one decade on the horizontal side that
71
shows frequency, and usually on the vertical side of the unit is
given to show Magnitude dB, either strengthening or weakening.
Figure 5.1 Bode plot
3.3 Frequency Response
Frequency Response is a phenomenon occurs on the circuit
occurs on the value of the frequency given on the circuit. At low
frequency and high frequency, there is a bypass and coupling
capacitors that cannot be replaced again with the approach of
short circuit or open circuit reactance due to the addition of the
element. In this chapter, the method is no longer carried out so
that the capacitance value calculation will be used.
.
3.4 Frequency Response of BJT Voltage Divider
The circuit to be used for this experiment is voltage divider BJT
on figure 5.2. There are C3 (Cin), C2 (Cout), C1 (CE) where the
experiment is done to observe the response of the BJT circuit
towards the variation of frequency given.
72
Figure 5.2 BJT Voltage Divider Circuit
At the DC analysis where the frequency is equals to 0, then the
capacitor C1, C2 and C3 would be consider as open circuit
because of its reactance which is infinite. But on the AC analysis,
there occurs the effect of the capacitor for every level of
frequency which differs from low, mid and high frequency.
Before continuing the analysis, it is important to know about
the naming of the capacitor and its location. Basically there are 2
types of capacitor which is:
Practical capacitor: Cin, Cout, CE which as explained before, it
has physical presence and mounted inside the circuit on
Figure 5.2.
Virtual capacitor: Cwi, Cwo, CBE, CBC, CCE these capacitor
does not have any physical presence, but there will be
capacitance between the feet of its transistor as the result of
the miller effect.
73
The virtual capacitor could be seen from Figure 5.3. There must
be another measurement using LCR meter to analyze the
capacitance between the foot of the transistor and input
capacitance & output to the ground.
Figure 5.3 Virtual Capacitor
Next, the frequency variation will produce different
reinforcement at each frequency. The curve between the
amplification (Vo / Vi) against frequency is shown in Figure 5.4.
In this experiment, bode curve is applied to get accurate results.
Figure 5.4 Frequency Response of BJT Amplification
74
At Figure 5.4 there occurs fc1 and fc2 where it represents as
the low cut off frequency and high cut off frequency. Cut off
frequency is where the amplification would get down around
0.707 (-3dB) from its stable condition. Hence, in this experiment
we will study the response of a system to variations of a given
frequency. This circuit has a similar function as a filter that will
be studied at the active filter module.
4. Practicum
BJT Voltage Divider Circuit
1. Arrange the components according to the figure given. Make sure
there are no short circuit occurs.
2. Connect the circuit with multimeter to measured Ib and Ic using
the tweezers cable and jumper cable. Make sure the multimeter
75
installed correctly (series to measured current). Make sure the
port used at the multimeter is installed correctly (DC current port
to measured Ib (0.3 mA) and Ic (30 mA).
3. Connect the function generator with multimeter and then let the
function generator on. Set the frequency to be 50 Hz and also the
amplitude of the function generator, so we could obtain the Vs
value that we want.
4. After obtaining the wanted Vs value, connect Vs and VCC (15V)
from the function generator to the circuit. Measured Va (VAC) and
Vb (VAC) then measured the Ib current (A DC) and Ic (A DC) using
multimeter.
5. Repeat steps 3 & 4 by using different frequency.
6. Return the source to 1KHz frequency then measured the
capacitance of Cwi and Cwo using LCR meter.
7. After finished, take out the BJT and measured the capacitance
between the BJTs BE, EC and BC feet by using LCR meter.
76
5. Reference
1. Boylestad, Robert., Louis Nashelsky, “Electronic Devices and
Circuit Theory : eleventh Edition”, Prentice Hall International
Editions, 2013
77
Module VI
Frequency Response of Field Effect Transistor (FET)
1. Practicum Objectives
Understand frequency response analysis by using bode plot
Understand low frequency response for FETs amplification
Understand high frequency response for FETs amplification
2. Basic Theory Bullet Points
Decibel and bode diagram
Frequency response
Frequency response at FETs voltage divider circuit
DC and AC analysis (high and low frequency) for FETs circuit
Capacitance occurs on FET circuit
Characteristic curve toward the amplification of FET circuit
The resume of JFET 2N5457 datasheet
3. Basic Theory
3.1 Desibel
Decibel (dB) is a unit for power or audio which relates to the
logarithm basis of output and input from a system. It can be
written as
78
or from the ratio of voltage can be written as
The ratio with Decibel unit usually used to acknowledge the
amplification of a system (Av) where the result could either be
strengthening (>0dB) or weakening (<0dB). It relates to the
frequency analysis and bode plot. The ratio of input and output
could be observed at the following table:
table 5.1 Ratio Av = Vo/Vi towards Db
3.2 Bode Diagram
It is the method by using graph analysis in the region of
frequency so that one could easily specified the characteristic of
the circuit occurs on a certain frequency. Creating the bode
79
diagram typically using semilog paper. Graph shown in Figure
5.1 shows change in one decade on the horizontal side that
shows frequency, and usually on the vertical side of the unit is
given to show Magnitude dB, either strengthening or weakening.
Figure 6.1 Bode plot
3.3 Frequency Response
Frequency Response is a phenomenon occurs on the circuit
occurs on the value of the frequency given on the circuit. At low
frequency and high frequency, there is a bypass and coupling
capacitors that cannot be replaced again with the approach of
short circuit or open circuit reactance due to the addition of the
element. In this chapter, the method is no longer carried out so
that the capacitance value calculation will be used.
80
3.4 Low Frequency Response of FET Amplifier
There are 3 capacitor CG, CC, CS where CG and CS is a coupling
capacitor while Cs is a bypass capacitor. The circuit used on this
experiment is done to observe the response of the FET circuit
towards the variation of the given frequency.
Figure 6.2 Self-bias FET circuit
At DC analysis where the frequency is equals to 0, then the
capacitor CG, CC and CS would be considered as open circuit
since its reactance is infinite. But on the AC analysis, there would
be another effect from the frequency for every different level
which is low, mid and high.
Before continuing the analysis, it is important to know about
the naming of the capacitor and its location. Basically there are 2
types of capacitor which is:
Practical capacitor: CG, CC, CS which as explained before, it
has physical presence and mounted inside the circuit on
Figure 6.2.
Virtual capacitor: Cwi, Cwo, CBE, CBC, CCE these capacitor
does not have any physical presence, but there will be
81
capacitance between the feet of its transistor as the result of
the miller effect (between Gate-Drain junction with high
frequency at common source FET amplification circuit).
The virtual capacitor could be seen from Figure 5.3. There must
be another measurement using LCR meter to analyze the
capacitance between the foot of the transistor and input
capacitance & output to the ground.
3.5 High Frequency Response Circuit of FET Amplifier
Figure 6.3 Virtual Capacitor
Next, the frequency variation will produce different
reinforcement at each frequency. The curve between the
amplification (Vo / Vi) against frequency is shown in Figure 5.4.
In this experiment, bode curve is applied to get accurate results.
82
Figure 6.4 FET Amplifier Frequency Response
At Figure 6.4 there occurs fc1 and fc2 where it represents as
the low cut off frequency and high cut off frequency. Cut off
frequency is where the amplification would get down around
0.707 (-3dB) from its stable condition. Hence, in this experiment
we will study the response of a system to variations of a given
frequency. This circuit has a similar function as a filter that will
be studied at the active filter module.
83
4. Experiment
Self Bias FET Circuit
1. Arrange the components according to the Figure given. Make sure
the there are no short happened and the transistor feet is applied
correctly.
2. Connect the circuit using multimeter to measured Vi, Vo, IDSS and
VP by using tweezers and jumper cable.
3. Connect the function generator with multimeter, and then turn on
the function generator. Set the frequency to be 50 Hz and also its
amplitude on the function generator so the Vs value is according
to what we want.
84
4. After the Vs is being set, connect Vs with VCC from the function
generator to the circuit. Measured Vi, Vo, IDSS current and Vp by
using multimeter.
5. Repeat steps 3-4 by changing it to different frequency.
6. Return the source to 1 Khz frequency, measured the Cwi and Cwo
capacitance using LCR meter.
7. After finished, take out the FET and measured the capacitance
between Cgd, Cgs and Cds feet by using LCR meter.
5. References
1. Alexander, Charles K., Sadiku, Matthew N.O. (2009). Fundamental
of Electric Circuit ( Fourth Edition). New York : McGraw-Hill.
2. Boylestad, Robert., Louis Nashelsky, “Electronic Devices and
Circuit Theory : eleventh Edition”, Prentice Hall International
Editions, 2013
85
Module VII
Operational Amplifier
1. Practicum Objectives
Understand how op-amp works as an amplifier
Understand inverting and non-inverting amplifier on op-amp
Understand integration dan differentiation of sinusoidal and non-
sinusoidal waveform as well as its effect on amplitude and phase
angle
2. Basic Theory Bullet Points
Know the characteristic of op-amp
Know the symbol and circuit in op-amp
Know what is offset voltage in op-amp
Know the types of op-amp circuit
Know inverting dan non-inverting circuit on op-amp
Know how amplifier circuit works
Know how comparator circuit works
Know the term unity gain for differentiator and integrator circuit
Know how differentiator and integrator circuit works
3. Basic Theory
3.1. Introduction
Operational Amplifier or op-amp is a voltage amplifying device
that is generally used with external component such as resistor or
capacitor on its input and output terminal. By combining the use of
resistor, capacitor, or both, op-amp can do various function or
operation. Op-amp is generally integrated in an Integrated
Circuit(IC). Some example of op-amp IC are LM 741, TL071, LM311,
86
and some variation from the three can be powered by sing single
power supply or dual power supply, or from how many op-amp are
integrated in one IC (single, dual, or quadruple).
Op-amp is generally analysed as an ideal op-amp. This is
possible because the IC on op-amp is generally functioning as an
ideal op-amp. Ideal op-amp have three important terminals which
are Inverting Input, generally given a minus sign (-); Non-inverting
Input, generally given a plus sign (+); dan Output. An op-amp IC
have two extra terminals for power supply, Vcc+ and Vcc- for dual
power supply Op-Amp or Vcc+ and GND for Single Power Supply op-
amp.
The following are the ideal op-amp characteristics that are
useful for analyzing the working principle of an op-amp:
Infinite Voltage Gain
Voltage gain is not dependent upon the specification of an op-
amp, but rather by the circuit configuration so that voltage gain
can be adjusted as needed.
Infinite Input Impedance
Infinite input impedance causes no current to flow into the two-
input terminal
87
Output impedance is zero
Infinite Bandwidth
Bandwidth have a certain frequency range that are allowed to
pass. This characteristic is usually used in filter design.
Bandwidth circuit is configured through circuit configuration so
that bandwidth can be adjusted as needed.
Offset voltage is zero
Offset voltage is the voltage on the output when the given input
voltage is zero.
3.2. Ideal Op-Amp
To perform the analysis on the op-amp, an approach towards
the ideal op-amp is used where each of its characteristics are
known. The following is the image of an ideal op-amp:
Figure 3. Idel Op-Amp
1. Current on each of the two terminal inputs (inverting and
noninverting) are zero
88
This occurred because the input resistance on the open loop
circuit is infinite so there is no current flowing inside the op-
amp. But output current is not zero.
2. The voltage between the input terminal is equal to zero
In ideal op-amp, there is no current flowing inside the op-amp
so the voltage between the input terminal is also zero. Thus, the
voltage on the inverting and non-inverting input are the same.
3.3. Inverting Amplifier
In this session, the application of op-amp as an inverting
amplifier is discussed. Non-inverting input is connected to the
ground. Vi is connected to the resistor R1 and the feedback resistor
Rf is connected to Vo.
Figure 4. Inverting Op-Amp Amplifier
89
By applying KCL on node 1 then
As explained before on an ideal op-amp, V1 = V2. V2 is connected to
the ground where the voltage 0 V so that V1 = V2 = 0V. Thus, the
equation becomes
So, the obtained gain is Av= Vo/Vi = -Rf/Ri. The output is found
to be negative, which means that the output will have opposing
polarity compared to the input.
3.4. Noninverting Amplifier
Another application of op-amp is non-inverting amplifier
circuit where the input is directly given to non-inverting terminal.
Resistor R1 is given between inverting terminal and ground while
Rf as feedback between inverting input and output.
Figure 5. Non-Inverting Op-Amp Amplifier
90
Apply KCL on inverting terminal so that
On ideal op-amp V1=V2 where V2 is equal to Vinput so that
V1=V2=Vi
atau
So, the obtained gain is A = Vo/Vi = 1+ Rf/Ri. There is no differing
sign between the input and output, so the polarity between them is
the same.
On another condition, op-amp is used as intermediate stage
(buffer) where the gain is 1 (Rf =0, R1=∞). This circuit is called
voltage follower (or unity gain amplifier). The voltage on voltage
follower circuit is
Figure 6. Voltage Follower
91
Voltage follower circuit (buffer) is used to isolate a circuit from
another circuit. This circuit minimize the interaction between 2
circuits and eliminate interstage loading.
Gambar 7. Voltage follower is used to isolate two cascaded circuit
Besides a voltage amplifier, the op-amp IC is also commonly
used as a comparator. The comparator can compare the input to the
inverting input and non-inverting input. The thing that occurs is the
voltage difference between the two inputs strengthened in
accordance with the open loop voltage gain (open loop gain). The
amplification is generally greater than 100 so that the output
voltage becomes saturated, so there are only 2 possible outputs,
namely positive voltage approaching +Vcc and negative voltage
approaching -Vcc.
Figure 4. Ideal Integrator Ideal and Differentiator Circuit
92
Kirchoff Law I on Integrator Circuit
𝑣𝑖𝑛(𝑡) − 0
𝑅= 𝐶
𝑑(0 − 𝑣𝑜(𝑡))
𝑑𝑡
𝑣𝑖𝑛(𝑡)
𝑅= −𝐶
𝑑𝑣0(𝑡)
𝑑𝑡
𝑑𝑣𝑜(𝑡) = −1
𝑅𝐶𝑣𝑖𝑛(𝑡)𝑑𝑡
Kirchoff Law I on Differentiator Circuit
𝐶𝑑(𝑣𝑖𝑛(𝑡) − 0)
𝑑𝑡=
0 − 𝑣𝑜(𝑡)
𝑅
In addition to using an external resistor as a component of an
op-amp circuit, a capacitor may also be used. Capacitors, which
can pass current in accordance with changes in voltage versus
time (differentiation), can make the op-amp circuit known as
differentiator and integrator. The circuit in the picture above is a
series integrator and differentiator. This circuit can perform
operations like integral or differential to an input waveform. This
circuit has a transition frequency in which the separation of
frequency occurs when the wave is given amplification and when
the wave is integrated/differentiated. In reality, ideal
differentiator is not practically used because its susceptibility
towards high frequency noise is amplified because the frequency
𝑣𝑜(𝑡) = −1
𝑅𝐶∫ 𝑣𝑖𝑛(𝑡)𝑑𝑡 + 𝑣𝑜(0)
𝑡
0
𝑣𝑜(𝑡) = −𝑅𝐶𝑑𝑣𝑖𝑛(𝑡)
𝑑𝑡
93
response from the ideal differentiator circuit is further
strengthened when the frequency is high [3].
Figure 5. The result of the wave is differential from the DC input
pulse
Op-Amp 741 DataSheet
Figure 8. Pinout IC 741
94
4. Practicum
Inverting Amplifier
Experiment Steps:
1. Arrange the circuit as shown above. The resistance of R1 and R2
will be given by the laboratory assistant
2. Create a sinusoidal wave with an amplitude and frequency
determined by a laboratory assistant on the Signal Generator.
3. Observe and record the value of the output voltage that is
indicated on the oscilloscope and measuring device
4. Repeat step 2 and 3 with different input voltage
95
Non-inverting Amplifier
Experiment Steps:
1. Arrange the circuit as shown above. The resistance of R1 and R2
will be given by the laboratory assistant.
2. Create a sinusoidal wave with an amplitude and frequency
determined by a laboratory assistant on the Signal Generator.
3. Observe and record the value of the output voltage that is
indicated on the oscilloscope and measuring device.
4. Repeat steps 2 and 3 with different input voltage.
96
Integrator Circuit Experiment
Experiment Steps:
1. Arrange the circuit as shown above. Use R9 as 1K and R10 as 10K,
C1 as 10nF dan Power Supply as +/-15V
2. Adjust the signal generator to produce a square wave with V=3
Vp-p and a frequency of 10 Hz
3. Observe the input and output wave on the oscilloscope
4. Repeat 2 and 3 for a frequency of 14kHz
5. Repeat step 2, 3, and 4 for triangle and sinusoidal wave
6. Change the resistance of R10 to 22K, and repeat step 2, 3, 4, and 5
97
Differentiator Circuit Experiment
Experiment Steps:
1. Arrange the circuit as shown above. Use 10K and 100K for R11 and
R12 respectively, 100nF for C1 and Power Supply of +/-15V.
2. Adjust the signal generator to produce a square wave with V=3 Vp-p
and a frequency of 10 Hz.
3. Observe the input and output wave on oscilloscope.
4. Repeat step 2 and 3 for a frequency of 14kHz.
5. Repeat step 2, 3, and 4 for triangle and sinusoidal wave.
6. Change the resistance of R11 to 22K, and repeat step 2, 3, 4, dan 5.
98
5. References
Alexander, Charles K., Sadiku, Matthew N.O. (2009). Fundamental of
Electric Circuit (Fourth Edition). New York: McGraw-Hill.
www.electronics-tutorials.ws/opamp/opamp_1.html
http://hyperphysics.phy-
astr.gsu.edu/hbase/electronic/opampi.html#c2
http://www.ee.nmt.edu/~rhb/spr05-ee212/lab/lab0
99
Module VIII
Active Filter
1. Practicum Objectives
Students should be able to understand function and use of a filter.
Students should be able to understand characteristics of a filter.
Students should be able to create an active filter with the desired
characteristics.
2. Basic Theory Bullet Points
Basic Understanding of Electronic Filter
Understanding of Ideal Filter
Types of Filter based on the component
Types of Filter based on the passed frequency
General Working Principle of Filter
3. Basic Theory
3.1. Introduction
An RC active filter is a frequency separator circuit in which its
passive components comprises of resistor (R), capacitor (C), and
Op-Amp as the active component. The absence of inductor is
considered as an advantage mainly in the fabrication with the
integrated circuit. There are four types of filter that have ideal
frequency response as shown in figure 1 below:
100
The corresponding ideal filter frequency responses are of the
following types:
Low Pass, filter output (possibly considered as amplifier),
represented by H(j2f) appears for low frequencies, in the figure
it is shown from zero frequency until upper limit frequency fH.
Band Pass, filter output represented by H(j2f) appears for
frequencies between the lower limit frequency f1 and the upper
limit frequency f2.
High Pass, filter output represented by H(j2f) appears for
frequencies between the lower limit frequency f1 and the upper
limit frequency infinity (∞).
101
Band Rejection, filter output represented by H(j2f) does not
appear for frequencies between the lower limit frequency f1 and
the upper limit frequency f2.
In reality, frequency response of a filter is not as ideal as
shown in figure 1. H(j2f) response is not fixed in value, it varies
between maximum value of H0 and H1. The difference between
H0 and H1 is called ripple. For more detail, the real
characteristics of a low pass filter is shown on the following
figure.
If observed from the transfer function equation of an active
filter, it can be classified as follow:
102
1. Butterworth Filter, a filter in which the output could reduce
attenuation, along with the increasing of the order of that
corresponding filter.
2 Chebyshev Filter, a filter in which the output could reduce
ripple, along with the increasing of the order of that
corresponding filter.
3. Bassel Filter, a filter in which the output could reduce phase
difference, along with the increasing of the order of that
corresponding filter.
If observed from the configuration or topology of an active
filter circuit, it can be classified into two topologies:
1. Sallen Key Filter, an active filter that is used for even order (n
= 2, 4, 6, 8, …), so that it could directly result order 2 or its
multiple, and could save the use of other components.
2. Multiple Feedback Filter, an active filter that is used for even
order (n = 2, 4, 6, 8, …). This configuration is basically an
inverting amplifier, so that its resulted phase has 180o difference
than its original phase source.
103
Derivation of Sallen-Key Architecture for Active Filter
Kirchoff Current Law on node Vf:
𝑉𝑓 (1
𝑍1+
1
𝑍2+
1
𝑍4) = 𝑉𝑖 (
1
𝑍1) + 𝑉𝑝 (
1
𝑍2) + 𝑉𝑜 (
1
𝑍4)
Kirchoff Current Law on node Vp:
𝑉𝑝 (1
𝑍2+
1
𝑍3) = 𝑉𝑓 (
1
𝑍2) → 𝑉𝑓 = 𝑉𝑝 (1 +
𝑍2
𝑍3)
Substitute the KCL Vf equation into KCL Vp equation:
𝑉𝑝
= 𝑉𝑖 (𝑍2𝑍3𝑍4
𝑍2𝑍3𝑍4 + 𝑍1𝑍2𝑍4 + 𝑍1𝑍2𝑍3 + 𝑍2𝑍2𝑍4 + 𝑍2𝑍2𝑍1)
+ 𝑉𝑜 (𝑍1𝑍2𝑍3
𝑍2𝑍3𝑍4 + 𝑍1𝑍2𝑍4 + 𝑍1𝑍2𝑍3 + 𝑍2𝑍2𝑍2𝑍4 + 𝑍2𝑍2𝑍1)
Kirchoff Current Law on node Vn:
𝑉𝑛 (1
𝑅3+
1
𝑅4) = 𝑉𝑜 (
1
𝑅4) → 𝑉𝑛 = 𝑉𝑜 (
𝑅3
𝑅3 + 𝑅4)
104
Gain-Block Diagram
In accordance with the equation Vp = Vi*c + Vo*d. Gain Block
Diagram representation is made with a value of c and d as follow:
𝑐
= 𝑍2 ∗ 𝑍3 ∗ 𝑍4
𝑍2 ∗ 𝑍3 ∗ 𝑍4 + 𝑍1 ∗ 𝑍2 ∗ 𝑍4 + 𝑍1 ∗ 𝑍2 ∗ 𝑍3 + 𝑍2 ∗ 𝑍2 ∗ 𝑍4 + 𝑍2 ∗ 𝑍2 ∗ 𝑍1
𝑑
= 𝑍1 ∗ 𝑍2 ∗ 𝑍3
𝑍2 ∗ 𝑍3 ∗ 𝑍4 + 𝑍1 ∗ 𝑍2 ∗ 𝑍4 + 𝑍1 ∗ 𝑍2 ∗ 𝑍3 + 𝑍2 ∗ 𝑍2 ∗ 𝑍4 + 𝑍2 ∗ 𝑍2 ∗ 𝑍1
In accordance with the equation Vn, the value of b is obtained as
follows:
𝑏 =𝑅3
𝑅3 + 𝑅4
and a(f) is open-loop gain value of the amplifier.
𝑉𝑜
𝑉𝑖= (
𝑐
𝑏) (
1
1 +1
𝑎(𝑓)𝑏−
𝑑𝑏
)
105
Ideal Transfer Function
Open loop gain from an amplifier is very large, so that:
1
𝑎(𝑓)𝑏≅ 0
Creates a transfer function based on the gain block diagram as
shown below:
𝑉𝑜
𝑉𝑖=
𝑐
𝑏(
1
1 −𝑑𝑏
)
By inserting the value of 1/b = K, general transfer function of a
filter is obtained by using the Sallen Key architecture as follows:
𝑉𝑜
𝑉𝑖=
𝐾
𝑍1𝑍2𝑍3𝑍4 +
𝑍1𝑍3 +
𝑍2𝑍3 +
𝑍1(1 − 𝐾)𝑍4 + 1
High Pass Filter Transfer Function and Cutoff Frequency
Using formula derivation of the above ideal filter transfer
function, we can produce a transfer function for high pass filter
with unity gain as follows:
𝑉𝑜
𝑉𝑖=
1
1𝑠2(𝑅1𝑅2𝐶1𝐶2)
+1
𝑠(𝑅2𝐶1)+
1𝑠(𝑅2𝐶2)
+ 1
𝑓𝑐 =1
2𝜋√𝑅1𝑅2𝐶1𝐶2
106
Low Pass Filter Transfer Function and Cutoff Frequency
Using formula derivation of the above ideal filter transfer
function, we can produce a transfer function for low pass filter
with unity gain as follows:
𝑉𝑜
𝑉𝑖=
1
𝑠2(𝑅1𝑅2𝐶1𝐶2) + 𝑠(𝑅1𝐶2 + 𝑅2𝐶2) + 1
𝑓𝑐 =1
2𝜋√𝑅1𝑅2𝐶1𝐶2
4. Practicum
Low Pass Filter
o Tools and Equipments
Function generator
Oscilloscope
Protoboard and Jumper Cables
DC power supply
Components:
Resistor: 220Ω/1W (2); 100Ω/2W (1); 100kΩ/0,5W
(1)
Capacitor: 0,1μF/400V (2)
Op Amp (1)
107
o Experiment Circuit
o Experiment Steps
1. Arrange the circuit as shown in the figure.
2. Attach the function generator with sinusoidal wave mode on
the input channel and oscillator on the output channel.
3. Give power supply to the circuit, record the voltage level and
the frequency indicated by the oscilloscope for different input
frequencies.
Band Pass Filter
o Tools and Equipments
Function generator
Oscilloscope
Protoboard and Jumper Cables
DC power supply
Components:
Resistor: 2.2kΩ/0.5W (1); 4.7kΩ/0.5W (2);
6.8kΩ/0.5W (1);
108
Capacitor: 4.7nF/200V (1); 470nF/200V (1);
330nF/200V (1); 2.2nF/200V (1);
TL-072 (2)
o Experiment Circuit
o Experiment Steps
1. Arrange the circuit as shown in the figure.
2. Attach the function generator with sinusoidal wave mode on
the input channel and oscillator on the output channel.
3. Give power supply to the circuit, record the voltage level and
the frequency indicated by the oscilloscope for different input
frequencies.
High Pass Filter
o Tools and Equipments
Function generator
Oscilloscope
Protoboard and Jumper cables
109
DC power supply
Components:
Resistor: 220Ω/1W (2); 100Ω/2W (1);
100kΩ/0,5W (1)
Capacitor: 0,1μF/400V (2)
Op Amp (1)
o Experiment Circuit
o Experiment Steps
1. Arrange the circuit as shown in the figure.
2. Attach the function generator with sinusoidal wave
mode on the input channel and oscillator on the output
channel.
3. Give power supply to the circuit, record the voltage level
and the frequency indicated by the oscilloscope for
different input frequencies.
110
Band Reject Filter
o Tools and Equipments
Function generator
Oscilloscope
Protoboard and Jumper Cables
DC power supply
Components:
Resistor: 2.2kΩ/0.5W (1); 4.7kΩ/0.5W (2);
6.8kΩ/0.5W (1);
Capacitor: 4.7nF/200V (1); 470nF/200V (1);
330nF/200V (1); 2.2nF/200V (1);
TL-072 (2).
o Experiment Circuit
111
o Experiment Steps
1. Arrange the High Pass and Low Pass circuit in series
connection.
2. Attach the function generator with sinusoidal wave mode
on the input channel and oscillator on the output
channel.
3. Give power supply to the circuit, record the voltage level
and the frequency indicated by the oscilloscope for
different input frequencies.
5. References
Sutanto, Rangkaian Elektronika Analog dan Terpadu.
Millman, Jacob & Arvin Grabel, Microelectronics.
Millman, Jacob & Christos Halkias, Integrated Electronics.
112
Module IX
Application
1. Practicum Objectives
Understand the working principle of light sensor circuit as an
automatic switch for 220 VAC lamp.
Understand the working principle of discrete multivibrator
circuit and IC.
Understand the working principle of motor driver for DC motor
by using MOSFET.
2. Basic Theory Bullet Points
Working principle of LDR sensor and Voltage Divider principle
Comparator and switch using Op-Amp and BJT.
Relay as AC switch using DC control.
Discrete vibrator with transistor, capacitor, and resistor
Vibrator IC 555
Motor driver H-Bridge with MOSFET and optocoupler
113
3. Basic Theory
3.1 Light Sensor as Automatic Switch for 220V Lamp
This circuit is a circuit that can turn on and off lamp
automatically based on the light intensity that touches the
sensor. This circuit uses the LDR (light dependent resistor)
to calculate the light intensity that is converted into
electrical resistance. The more light intensity touches the
sensor, the less resistance sensor value will be. The circuit
schematic can be seen on figure 9 below:
Figure 9
There are 3 stages on the above schematic; sensor stage,
comparator stage and switch stage. Each stage explanation
is shown below.
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a. Sensor stage
This stage consists of LDR and a variable resistor (widely
known as potentiometer) that is connected with the voltage
source. Both has resistive nature and is used as voltage
divider from the voltage source value. Basically, the usage of
potentiometer can be replaced by using fixed resistor.
However, the user does not have the ability to set when the
light is on or off in accordance to the intensity of light falls
on the sensor. With combination of both resistors, the
voltage value on the potentiometer is used as input for
comparator stage. In this module, the voltage on
potentiometer becomes the comparator inverting input.
When the light intensity is high, the voltage value on
potentiometer will be close to Vcc, while the potentiometer
voltage value will be close to 0 V when the light intensity is
low.
b. Comparator Stage
This stage has a function for interpreting the value of
LDR sensor reading. This stage consists of a pair of fixed
resistor acting as voltage divider and Op-amp acting as
comparator, and both are directly connected with the
voltage source. By determining the limit of voltage value
wanted by the user, the comparator could interpret the light
intensity captured by the LDR sensor. This voltage value
limit is specified by the fixed resistor pair that is connected
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with the non-inverting input of Op-amp. Thus, the non-
inverting input acts as a reference voltage. When the light
intensity is high, the non-inverting voltage value is less than
that of the inverting voltage value, and vice versa. As a
result, the high and the low light intensity is interpreted as 0
& 1 logic sequentially.
c. Switch Stage
This stage consists of NPN BJT acting as switch and relay
acting as switch on lamp circuit. When the light intensity is
high, the relay is in the state of normally open, and vice
versa. This condition is regulated by the NPN BJT that
obtains the input from the comparator output. The coil part
of the relay is connected to the NPN BJT collector. When the
light intensity is high, logic 0 becomes the NPN BJT input,
causing no current flow at the base putting the BJT in cut-off
mode. No base current results in the absence of collector
current, creating no current flow through the relay coil and
no magnetic field to pull the metal relay switch is created.
The lamp is in off condition. When the light intensity is low,
logic 1 becomes the NPN BJT input, causing current flow at
the base and collector putting the BJT in the saturation
mode. The presence of collector current results in the
existence of current that passes through the relay coil, so
that magnetic field is created and is able to pull the metal
relay switch. The lamp is in on condition. Note that the lamp
must always be connected with the 220V source.
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3.2 Astable Multivibrator with Discrete Component
This circuit is an oscillator circuit whose function is to
generate periodic signal with square waveform, so that the
generated signal has values of logic 0 and 1. The resulted
periodic signal does not require a trigger to change the logic
0 into 1 and vice versa. Howevr, this circuit is designed in
order to freely oscillate the signal. Therefore, astable
multivibrator is also called as Free Running Multivibrator. It
is called multivibrator due to its 2 outputs which oscillates
with different phase.
This circuit has two identic stages in which each of them
consists of NPN BJT acting as switch, pair of capacitor and
resistor, and LED. The working principle of this circuit is
explained in the following:
a. This circuit analysis is initiated by assuming which BJT
will be active and which one will not be active. For
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instance, initially assume that Q1 is the BJT that will be
active and Q2 is the one that will not be active.
b. To make Q1 active, the base current should flow from the
Vcc through R3, so that collector current flows through R1
and eventually to the emitter terminal. Due to the short
connection between the collector and emitter of Q1,
current will not flow through the blue LED which has
higher value of resistance.
c. Because Q2 is not active, the collector and emitter
terminals of Q2 are open. The current flowing through Q4
will directly heads to the yellow LED putting the LED in
the on condition. At the same time, the capacitor will
undergo charging due to flow of current on R3 and R4.
d. After the capacitor is fully charged, it will experience
discharging. When undergoing discharging, the base
current flows through R2 resulting in Q2 to be active and
current flows from the Q2 into the Q2 emitter. The yellow
LED is in off condition. By the same method, the blue LED
is on. This process keeps repeating sequentially.
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3.3 Astable Multivibrator with IC (Integrated Circuit)
LM555
The difference in this circuit with th previous one is in
the usage of IC LM555 as circuit that produces oscillated
signal. The IC LM555 is considered as one of the oldest IC
timer type and often used due to its simplicity. LM555
consists few stages in its circuit, that is, 3 resistors acting as
voltage divider, 2 comparators and RS flip-flow. It is shown
in the following an LM555 in astable mode:
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The above figure is a schematic circuit in an IC LM555.
The following shows how IC LM555 works:
a. Voltage divider divides the Vcc voltage into 3 equal values
in magnitude. Then, reference value with magnitude of
1/3 and 2/3 from the Vcc becomes the reference voltage
of the 2 comparators (1/3 of Vcc goes to the non-inverting
input of comparator 2, while 2/3 of Vcc goes to the
inverting input of comparator 1) that will give logic values
on RS Flip-flop gate. Comparator 1 & 2 will get into the
Reset and Set inputs on RS Flip-flop sequentially.
b. The external capacitor that is connected into pin 2 & 6 of
LM555 will be filled with charges due to Vcc through RA
and RB. In this condition, the voltage value is still below
1/3 of Vcc, resulting in comparator 2 to give logic 1 on the
Set input. By assuming that the previous flip-flop state is
of logic 0, the output of this Set input will give logic value
of 0 (see on RS Flip-flop schematic above) that will
eventually be a state for the Reset input. At the same time,
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the capacitor voltage value is still below 2/3 of Vcc,
resulting in comparator 1 to give logic 0 on the Reset
input. The output of this Reset input is logic 1 and will
become a state for the Set input as well as output of the IC
LM555.
c. Then the capacitor is filled in the range of 1/3 to 2/3 of
the Vcc value. In this condition, each of the comparator 1
& 2 will give logic value of 0 on the Reset & Set input.
Output of the Set input is logic 0 as well as becoming the
state for the Reset input. Whereas, the output of the
Reset input is logic 1 as well as becoming the state for the
Set input. It can be seen that in this range, the output of
IC LM555 is still having logic of 1.
d. When the capacitor is filled with more than 2/3 of Vcc
value, the comparator 1 & 2 will give logic value of 1 & 0
on the Reset & Set input sequentially. Output from thr Set
input is logic 0 as well as becoming the state for the Reset
input. Whereas, the output of Reset input is logic 0. In
this condition, the capacitor will undergo discharging
towards pin 7 through RB. It can be concluded that after
the capacitor is filled with more than 2/3 of the Vcc
value, the output of IC LM555 is in the off condition.
e. The cycle is then goes to the capacitor discharging in
which the analysis is done reversely (backwards). The
result of the analysis is shown in the following table.
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Charging
Stage V<(Vcc/3) (Vcc/3)<V<(2Vcc/3) (2Vcc/3)<V Comparator 1
(Reset) 0 0 1
Comparator 2 (Set)
1 0 0
Flip-flop (Q) 1 1 0
Discharging
Stage (2Vcc/3)<V (Vcc/3)<V<(2Vcc/3) V<(Vcc/3) Comparator 1
(Reset) 1 0 0 Comparator 2
(Set) 0 0 1 Flip-flop (Q) 0 0 1
3.4 Motor Driver with Optocoupler
This circuit functions as a motor driver so that it rotates
in 2 directions; either clockwise or counter-clockwise. This
circuit comprises of a P-MOSFET pair (2 top MOSFETs, Q1
AND Q2), an N-MOSFET pair (2 bottom MOSFETs, Q3 and
Q4), a pair of optocoupler and a stage of motor speed
controller. In principle, motor rotates in accordance with
the direction of current that flows into the motor coil due to
the presence of electromagnetic field, resulting in the circuit
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creation based on the principle of how to direct current in 2
different directions on the motor.
Keep in mind that P-MOSFET will make current flow
from Drain to Source if the Gate is given negative voltage
and vice versa for the N-MOSFET. From the above figure, it
is clearly seen that there are 2 logic inputs, that is, the
optocoupler input. Optocoupler is an IC that functions as
isolator between the input and the output. Inside it, there is
a device which produces infrared light and NPN BJT. The
infrared has a function to produce base current so that the
NPN BJT will be active.
The analysis is shown as follows:
a. Assume that the left and right optocoupler as O1 and O2.
When both optocoupler is not given any input, then the
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BJT will be in the off state. This results in the 2 gates, Q1
and Q3 for instance, to be connected in parallel and has a
value equal to that of the Vcc. The same thing also occurs
on Q2 and Q4. In this condition, Q1 and Q2 are in the off
condition, whereas, Q3 and Q4 are in the on/active
condition. However, due to Q1 and Q2 being in the off
mode, there are no current that flows from Q3 and Q4
Drains. Moreover, the non-active state of Q1 and Q2
results in voltage value on both motor terminals to have
0V. Therefore, the motor will not rotate if the logic input
is 00.
b. When the two optocouplers are given logic input of 1. In
this condition, both BJTs are in the active condition. The
Gate that is connected in parallel has a value of 0V
because it is also connected in parallel with the collector-
emtter terminal of the BJT that is in short-circuited. This
results in Q1 and Q2 to be in the active condition, while
Q3 and Q4 to be in the off condition. The Q1 and Q2 Drain
are shortly connected with each of its Source, so that the
value of the voltage on every motor terminal is equal to
Vcc value. Due to the off state of Q3 and Q4, each Drain
and Source are open. Thus, the motor will not rotate if the
logic input is 11.
c. However, if it is given logic 1 on O1 and logic 0 on O2, the
BJT O1 is in the active state, while BJT O2 is in the off
state. This results in the Gate voltage Q1 and Q3 to be 0V,
while the Gate voltage Q2 and Q4 to be equals Vcc. In this
condition, Q1 and Q4 are in active condition, while Q3 and
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Q3 are in the off condition. Therefore, the voltage on the
left and right terminal are equal to Vcc and 0V
sequentially. This results in current flow from the left
terminal into the right terminal towards the ground and
the motor rotates clockwise.
d. Next, if it is given logic 0 and 1 on O1 and O2 sequentially,
then the BJT O1 is in the off state, while BJT O2 is in th
active state. This causes the Gate voltage Q1 and Q3 to be
equal to the Vcc, while Gate voltage Q2 and Q4 to be equal
to 0V. In this condition, Q1 and Q4 are in the off state,
while Q2 and Q3 are in the active state. Therefore, the
voltage on the left and right terminal of the motor are 0V
& Vcc sequentially. This causes current to flow from the
right terminal to the left terminal towards the ground and
the motor rotates counter-clockwise.
e. The speed can be variably controlled by giving PWM
(pulse width modulation) input on the control stage of the
motor speed. Principally, the way how it works is similar
to that of optocoupler and MOSFET explained above, and
the input oscillates with respect to the time duration of
high and low that can be varied, so that the motor speed
can be variably controlled.
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4. References
Modul Praktikum Rangkaian Elektronika untuk mahasiswa
Teknik Elektro tahun 2016.
Boylestad, Robert L., Nashelsky, Louis. 2013. ELECTRONIC
DEVICES & CIRCUIT THEORY, Eleventh Edition. United States :
Pearson.
Flip-flop (Electronics). Diakses dari
https://en.wikipedia.org/wiki/Flip-flop_(electronics) pada 5
Februari 2017.
41 LED Flasher using 555 IC. Diakses dari
http://www.instructables.com/id/41-LED-Flasher-Circuit-
using-555-IC/step2/Build-the-circuit/ pada 5 Februari 2017.
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Module X
Final Project
*Provision regarding the Final Project will be informed further.