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Basic Electronics
Bipolar Junction Transistor
Dr. Nilesh Bhaskarrao Bahadure
https://www.sites.google.com/site/nileshbbahadure/home
July 26, 2021
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 1 / 50
Overview
1 Introduction
2 How a transistor works - the basics
3 Summary of transistor junction bias scenarios
4 Bipolar Transistor Configurations
The Common Base (CB) Configuration
The Common Emitter (CE) Configuration
The Common Collector (CC) Configuration
5 Bipolar Transistor Summary
6 NPN Transistor
7 PNP Transistor
8 Output Characteristics Curves of a BJT
9 Application of BJT - as a Switch
Cut-off Region
Saturation Region
10 Thank You
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 2 / 50
Bipolar Junction Transistor (BJT)
BJT
A Bipolar Junction Transistor (BJT) has three terminals connected to three
doped semiconductor regions. In an NPN transistor, a thin and lightly
doped P-type base is sandwiched between a heavily doped N-type emitter
and another N-type collector; while in a PNP transistor, a thin and lightly
doped N-type base is sandwiched between a heavily doped P-type emitter
and another P-type collector.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 3 / 50
Bipolar Junction Transistor (BJT)...
Figure : NPN and PNP Transistor
Bipolar Transistors are current regulating devices that control the amount
of current flowing through them from the Emitter to the Collector
terminals in proportion to the amount of biasing voltage applied to their
base terminal, thus acting like a current-controlled switch. As a small
current flowing into the base terminal controls a much larger collector
current forming the basis of transistor action.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 4 / 50
Bipolar Junction Transistor (BJT)...
In many schematics of transistor circuits (especially when there exist a
large number of transistors in the circuit), the circle in the symbol of a
transistor is omitted. The figures below show the cross section of two
NPN transistors. Note that although both the collector and emitter of a
transistor are made of N-type semiconductor material, they have totally
different geometry and therefore can not be interchanged.
Figure : NPN Transistor
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 5 / 50
Bipolar Junction Transistor (BJT)...
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 6 / 50
Bipolar Junction Transistor (BJT)...
The principle of operation of the two transistor types PNP and NPN, is
exactly the same the only difference being in their biasing and the polarity
of the power supply for each type.
The construction and circuit symbols for both the PNP and NPN bipolar
transistor are given above with the arrow in the circuit symbol always
showing the direction of conventional current flow between the base
terminal and its emitter terminal. The direction of the arrow always points
from the positive P-type region to the negative N-type region for both
transistor types, exactly the same as for the standard diode symbol.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 7 / 50
How a transistor works - the basics
The transistor can be considered as two p-n junctions that are placed back
to back. The structure has two PN junctions with a narrow base region
between the two outlying areas for the collector and emitter.
In normal operation, the base emitter junction is forward biased and the
base collector junction is reverse biased. When a current flows through the
base emitter junction, a current also flows in the collector circuit. This is
larger and proportional to the one in the base circuit. In order to explain
the way in which this happens, the example of an n-p-n transistor is taken.
The same principles are used for the p-n-p transistor except that the
current carrier is holes rather than electrons and the voltages are reversed.
Figure : Operation of a bipolar junction transistor
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 8 / 50
How a transistor works - the basics
The emitter in the n-p-n device is made of n-type material and here the
majority carriers are electrons. When the base emitter junction is forward
biased the electrons move from the n-type region towards the p-type region
and the holes move towards the n-type region. When they reach each
other they combine enabling a current to flow across the junction. When
the junction is reverse biased the holes and electrons move away from one
another resulting in a depletion region between the two areas and no current
flows.
When a current flows between the base and emitter, electrons leave the
emitter and flow into the base. Normally the electrons would combine when
they reach this area. However the doping level in this region is very low and
the base is also very thin. This means the most of the electrons are able to
travel across this region without recombining with the holes. As a result the
electrons migrate towards the collector, because they are attracted by the
positive potential. In this way they are able to flow across what is effectively
a reverse biased junction, and current flows in the collector circuit.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 9 / 50
How a transistor works - the basics
It is found that the collector current is significantly higher than the base cur-
rent, and because the proportion of electrons combining with holes remains
the same the collector current is always proportional to the base current. In
other words varying the base current varies the collector current.
IMP
The ratio of the base to collector current is given the Greek symbol β.
Typically the ratio β may be between 50 and 500 for a small signal transistor.
This means that the collector current will be between 50 and 500 times that
flowing in the base. For high power transistors the value of β is likely to be
smaller, with figures of 20 not being unusual.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 10 / 50
Summary of transistor junction bias scenarios
NPN TRANSISTOR BIAS & OPERATION SUMMARY
ELECTRODE
VOLTAGES
EMITTER
BASE
COLLECTOR
BASE
TRANSISTOR OPERA-
TION
E < B < C
Forward Reverse Forward active. This is the
normal mode for linear ampli-
fiers.
E > B > C
Reverse Forward Reverse active. This mode
is not normally used as it
effectively reverses the emit-
ter and collector connections.
Lower performance levels are
achieved.
E < B > C
Forward Forward Saturation, i.e. the transistor
is switched hard on. This will
occur in switching circuits
E > B < C
Reverse Reverse Cut-off. This occurs when
the transistor is switched hard
off and no collector current
flows.
Forward active region is widely used and Reverse active region is rarely used.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 11 / 50
Bipolar Transistor Configurations
As the Bipolar Transistor is a three terminal device, there are basically
three possible ways to connect it within an electronic circuit with one
terminal being common to both the input and output. Each method of
connection responding differently to its input signal within a circuit as the
static characteristics of the transistor vary with each circuit arrangement.
1 Common Base Configuration – has Voltage Gain but no Current Gain.
2 Common Emitter Configuration – has both Current and Voltage Gain.
3 Common Collector Configuration – has Current Gain but no Voltage
Gain.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 12 / 50
The Common Base (CB) Configuration
As its name suggests, in the Common Base or grounded base configuration,
the base connection is common to both the input signal and the output sig-
nal. The input signal is applied between the transistors base and the emitter
terminals, while the corresponding output signal is taken from between the
base and the collector terminals as shown. The base terminal is grounded
or can be connected to some fixed reference voltage point.
The input current flowing into the emitter is quite large as its the sum of
both the base current and collector current respectively therefore, the
collector current output is less than the emitter current input resulting in a
current gain for this type of circuit of “1” (unity) or less, in other words
the common base configuration “attenuates” the input signal.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 13 / 50
The Common Base (CB) Configuration...
Figure : The Common Base (CB) Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 14 / 50
The Common Base (CB) Configuration...
This type of amplifier configuration is a non-inverting voltage amplifier cir-
cuit, in that the signal voltages Vin and Vout are ”in-phase”. This type of
transistor arrangement is not very common due to its unusually high voltage
gain characteristics. Its input characteristics represent that of a forward bi-
ased diode while the output characteristics represent that of an illuminated
photo-diode.
Also this type of bipolar transistor configuration has a high ratio of output
to input resistance or more importantly ”load” resistance ( RL ) to ”input”
resistance ( Rin ) giving it a value of ”Resistance Gain”. Then the voltage
gain ( Av ) for a common base configuration is therefore given as:
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 15 / 50
The Common Base (CB) Configuration...
Common Base Voltage Gain = Av =
Vout
Vin
=
IC × RL
IE × Rin
(1)
The current gain or current transfer ratio is defined as the ratio between
the emitter (input) current IE and the collector (output) current IC :
IC
IE
= α < 1 (2)
also, RL
Rin
is the resistance gain Rg
Av = α × Rg (3)
The base current IB is calculated as
IB = IE − IC = (1 − α)IE (4)
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 16 / 50
The Common Emitter (CE) Configuration
In the Common Emitter or grounded emitter configuration, the input signal
is applied between the base and the emitter, while the output is taken from
between the collector and the emitter as shown. This type of configuration
is the most commonly used circuit for transistor based amplifiers and which
represents the normal method of bipolar transistor connection.
The common emitter amplifier configuration produces the highest current
and power gain of all the three bipolar transistor configurations. This is
mainly because the input impedance is LOW as it is connected to a forward
biased PN-junction, while the output impedance is HIGH as it is taken from
a reverse biased PN-junction.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 17 / 50
The Common Emitter (CE) Configuration
Figure : The Common Base (CE) Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 18 / 50
The Common Emitter (CE) Configuration
In this type of configuration, the current flowing out of the transistor must
be equal to the currents flowing into the transistor as the emitter current
is given as Ie = Ic + Ib.
As the load resistance (RL) is connected in series with the collector, the
current gain of the common emitter transistor configuration is quite large
as it is the ratio of Ic
Ib
. A transistors current gain is given the Greek symbol
of Beta, β.
As the emitter current for a common emitter configuration is defined as
Ie = Ic + Ib, the ratio of Ic
Ie
is called Alpha, given the Greek symbol of α.
Note: that the value of Alpha will always be less than unity.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 19 / 50
The Common Emitter (CE) Configuration
Since the electrical relationship between these three currents, Ib, Ic and Ie
is determined by the physical construction of the transistor itself, any small
change in the base current (Ib), will result in a much larger change in the
collector current (Ic).
Then, small changes in current flowing in the base will thus control the
current in the emitter-collector circuit. Typically, Beta has a value between
20 and 200 for most general purpose transistors. So if a transistor has a
Beta value of say 100, then one electron will flow from the base terminal
for every 100 electrons flowing between the emitter-collector terminal.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 20 / 50
The Common Emitter (CE) Configuration
By combining the expressions for both Alpha, α and Beta, β the
mathematical relationship between these parameters and therefore the
current gain of the transistor can be given as:
Alpha(α) =
IC
IE
(and)Beta(β) =
IC
IB
(5)
Therefore,
IC = α × IE = β × IB (6)
as;
Alpha(α) =
β
β + 1
(and)Beta(β) =
α
1 − α
(7)
IE = IC + IB (8)
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 21 / 50
The Common Emitter (CE) Configuration
Where: ”Ic” is the current flowing into the collector terminal, ”Ib” is the
current flowing into the base terminal and ”Ie” is the current flowing out
of the emitter terminal.
Then to summaries a little. This type of bipolar transistor configuration
has a greater input impedance, current and power gain than that of the
common base configuration but its voltage gain is much lower. The
common emitter configuration is an inverting amplifier circuit. This means
that the resulting output signal is 180o ”out-of-phase” with the input
voltage signal.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 22 / 50
The Common Collector (CC) Configuration
In the Common Collector or grounded collector configuration, the collector
is now common through the supply. The input signal is connected directly
to the base, while the output is taken from the emitter load as shown.
This type of configuration is commonly known as a Voltage Follower or
Emitter Follower circuit.
The common collector, or emitter follower configuration is very useful for
impedance matching applications because of the very high input
impedance, in the region of hundreds of thousands of Ohms while having a
relatively low output impedance.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 23 / 50
The Common Collector (CC) Configuration
Figure : The Common Base (CC) Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 24 / 50
The Common Collector (CC) Configuration
The common emitter configuration has a current gain approximately equal
to the β value of the transistor itself. In the common collector
configuration the load resistance is situated in series with the emitter so its
current is equal to that of the emitter current.
As the emitter current is the combination of the collector AND the base
current combined, the load resistance in this type of transistor
configuration also has both the collector current and the input current of
the base flowing through it. Then the current gain of the circuit is given
as:
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 25 / 50
The Common Collector (CC) Configuration
The Common Collector Current Gain
IE = IC + IB (9)
Ai =
IE
IB
=
IC + IB
IB
(10)
Ai =
IC
IB
+ 1 = β + 1 (11)
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 26 / 50
Bipolar Transistor Summary
Then to summaries, the behavior of the bipolar transistor in each one of
the above circuit configurations is very different and produces different cir-
cuit characteristics with regards to input impedance, output impedance and
gain whether this is voltage gain, current gain or power gain and this is
summarized in the table below.
Figure : Bipolar Transistor Summary
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 27 / 50
Bipolar Transistor Summary
Characteristic Common Base Common Emitter Common Collector
Input Impedance Low Medium High
Output Impedance Very High High Low
Phase Angle 0o
180o
0o
Voltage Gain High Medium Low
Current Gain Low Medium High
Power Gain Low Very High Medium
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 28 / 50
A Bipolar NPN Transistor Configuration
The construction and terminal voltages for a bipolar NPN transistor are
shown above. The voltage between the Base and Emitter ( VBE ), is positive
at the Base and negative at the Emitter because for an NPN transistor,
the Base terminal is always positive with respect to the Emitter. Also the
Collector supply voltage is positive with respect to the Emitter ( VCE ). So
for a bipolar NPN transistor to conduct the Collector is always more positive
with respect to both the Base and the Emitter.
Then the voltage sources are connected to an NPN transistor as shown.
The Collector is connected to the supply voltage VCC via the load resistor,
RL which also acts to limit the maximum current flowing through the
device. The Base supply voltage VB is connected to the Base resistor RB,
which again is used to limit the maximum Base current.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 29 / 50
A Bipolar NPN Transistor Configuration...
Figure : A Bipolar NPN Transistor Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 30 / 50
A Bipolar NPN Transistor Configuration...
Figure : A Bipolar NPN Transistor Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 31 / 50
A Bipolar NPN Transistor Configuration...
So in a NPN Transistor it is the movement of negative current carriers
(electrons) through the Base region that constitutes transistor action, since
these mobile electrons provide the link between the Collector and Emitter
circuits. This link between the input and output circuits is the main feature
of transistor action because the transistors amplifying properties come from
the consequent control which the Base exerts upon the Collector to Emitter
current.
Then we can see that the transistor is a current operated device (Beta
model) and that a large current ( Ic ) flows freely through the device
between the collector and the emitter terminals when the transistor is
switched ”fully-ON”. However, this only happens when a small biasing
current ( Ib ) is flowing into the base terminal of the transistor at the
same time thus allowing the Base to act as a sort of current control input.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 32 / 50
A Bipolar NPN Transistor Configuration...
The transistor current in a bipolar NPN transistor is the ratio of these two
currents (IC
IB
), called the DC Current Gain of the device and is given the
symbol of hfe or nowadays Beta, (β).
The value of β can be large up to 200 for standard transistors, and it is this
large ratio between Ic and Ib that makes the bipolar NPN transistor a useful
amplifying device when used in its active region as Ib provides the input and
Ic provides the output. Note that Beta has no units as it is a ratio.
Also, the current gain of the transistor from the Collector terminal to the
Emitter terminal, Ic/Ie, is called Alpha, (α), and is a function of the
transistor itself (electrons diffusing across the junction). As the emitter
current Ie is the sum of a very small base current plus a very large collector
current, the value of alpha (α), is very close to unity, and for a typical
low-power signal transistor this value ranges from about 0.950 to 0.999
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 33 / 50
A Bipolar NPN Transistor Configuration...
α and β Relationship in a NPN Transistor
DC Current Gain =
Output Current
Input Current
=
IC
IB
(12)
IE = IC + IB and
IC
IE
= α (13)
Thus,
IB = IE − IC = IE − αIE = IE (1 − α) (14)
since,
β =
IC
IB
=
IC
IE (1 − α)
=
α
(1 − α)
(15)
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 34 / 50
A Bipolar NPN Transistor Configuration...
By combining the two parameters and we can produce two mathematical
expressions that gives the relationship between the different currents
flowing in the transistor.
α =
β
β + 1
or α = β(1 − α) (16)
β =
α
1 − α
or β = α(1 + β) (17)
Example
If, α = 0.99 then β = 0.99
0.01 = 99
The values of Beta vary from about 20 for high current power transistors
to well over 1000 for high frequency low power type bipolar transistors.
The value of Beta for most standard NPN transistors can be found in the
manufactures data sheets but generally range between 50 – 200.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 35 / 50
Examples
Example
A bipolar NPN transistor has a DC current gain, (Beta) value of 200.
Calculate the base current Ib required to switch a resistive load of 4mA.
Answer
IB = IC
β = 4×10−3
200 = 20µA
Therefore, β = 200, IC = 4mA and IB = 20µA.
Example
An NPN Transistor has a DC base bias voltage, Vb of 10v and an input
base resistor, Rb of 100kΩ. What will be the value of the base current
into the transistor.
Answer
IB = VB −VBE
RB
= 10−0.7
100×103 = 93µA
Therefore, IB = 93µA.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 36 / 50
A Bipolar PNP Transistor Configuration
The PNP Transistor has very similar characteristics to their NPN bipolar
cousins, except that the polarities (or biasing) of the current and voltage
directions are reversed for any one of the possible three configurations Com-
mon Base, Common Emitter and Common Collector.
The voltage between the Base and Emitter ( VBE ), is now negative at the
Base and positive at the Emitter because for a PNP transistor, the Base
terminal is always biased negative with respect to the Emitter.
Also the Emitter supply voltage is positive with respect to the Collector (
VCE ). So for a PNP transistor to conduct the Emitter is always more
positive with respect to both the Base and the Collector.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 37 / 50
A Bipolar PNP Transistor Configuration...
Figure : A Bipolar PNP Transistor Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 38 / 50
A Bipolar PNP Transistor Configuration...
Figure : A Bipolar PNP Transistor Configuration
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 39 / 50
A Bipolar PNP Transistor Configuration...
The voltage sources are connected to a PNP transistor are as shown. This
time the Emitter is connected to the supply voltage VCC with the load
resistor, RL which limits the maximum current flowing through the device
connected to the Collector terminal. The Base voltage VB which is biased
negative with respect to the Emitter and is connected to the Base resistor
RB, which again is used to limit the maximum Base current.
To cause the Base current to flow in a PNP transistor the Base needs to
be more negative than the Emitter (current must leave the base) by
approx 0.7 volts for a silicon device or 0.3 volts for a germanium device
with the formulas used to calculate the Base resistor, Base current or
Collector current are the same as those used for an equivalent NPN
transistor and is given as.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 40 / 50
A Bipolar PNP Transistor Configuration...
IC = IE − IB (18)
IC = β × IB (19)
IB =
IC
β
(20)
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 41 / 50
Output Characteristics Curves of a Typical Bipolar
Transistor
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 42 / 50
Transistor as a Switch
Transistor switches can be used to switch a low voltage DC device (e.g.
LED’s) ON or OFF by using a transistor in its saturated or cut-off state
Figure : Transistor as a Switch
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 43 / 50
Transistor as a Switch...
When used as an AC signal amplifier, the transistors Base biasing voltage
is applied in such a way that it always operates within its ”active” region,
that is the linear part of the output characteristics curves are used.
However, both the NPN & PNP type bipolar transistors can be made to
operate as ”ON/OFF” type solid state switch by biasing the transistors
Base terminal differently to that for a signal amplifier.
Solid state switches are one of the main applications for the use of
transistor to switch a DC output ”ON” or ”OFF”. Some output devices,
such as LEDs only require a few milliamps at logic level DC voltages and
can therefore be driven directly by the output of a logic gate. However,
high power devices such as motors, solenoids or lamps, often require more
power than that supplied by an ordinary logic gate so transistor switches
are used.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 44 / 50
Transistor as a Switch...
The areas of operation for a transistor switch are known as the Saturation
Region and the Cut-off Region.
Operating Regions:
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 45 / 50
Transistor as a Switch - Cut off region
Here the operating conditions of the transistor are zero input base current
( IB ), zero output collector current ( IC ) and maximum collector voltage
( VCE ) which results in a large depletion layer and no current flowing
through the device. Therefore the transistor is switched ”Fully-OFF”.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 46 / 50
Cut off region - Characteristics
Figure : Transistor as a Switch
1 The input and Base are grounded (0v)
2 Base-Emitter voltage VBE < 0.7v
3 Base-Emitter junction is reverse biased
4 Base-Collector junction is reverse biased
5 Transistor is “fully-OFF” (Cut-off
region)
6 No Collector current flows (IC = 0)
7 VOUT = VCE = VCC = “1”
8 Transistor operates as an “open switch”
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 47 / 50
Transistor as a Switch - Saturation region
Here the transistor will be biased so that the maximum amount of base
current is applied, resulting in maximum collector current resulting in the
minimum collector emitter voltage drop which results in the depletion layer
being as small as possible and maximum current flowing through the
transistor. Therefore the transistor is switched ”Fully-ON”.
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 48 / 50
Saturation - Characteristics
Figure : Transistor as a Switch - Saturation
1 The input and Base are connected to VCC
2 Base-Emitter voltage VBE > 0.7v
3 Base-Emitter junction is forward biased
4 Base-Collector junction is forward biased
5 Transistor is “fully-ON” (saturation region)
6 Max Collector current flows (IC = Vcc
RL
)
7 VCE = 0 ( ideal saturation )
8 VOUT = VCE = “0”
9 Transistor operates as a “closed switch”
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 49 / 50
Thank you
Please send your feedback at nbahadure@gmail.com
For more details and updates kindly visit
https://sites.google.com/site/nileshbbahadure/home
Main Slide
Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 50 / 50

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BJT Electronics Guide

  • 1. Basic Electronics Bipolar Junction Transistor Dr. Nilesh Bhaskarrao Bahadure https://www.sites.google.com/site/nileshbbahadure/home July 26, 2021 Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 1 / 50
  • 2. Overview 1 Introduction 2 How a transistor works - the basics 3 Summary of transistor junction bias scenarios 4 Bipolar Transistor Configurations The Common Base (CB) Configuration The Common Emitter (CE) Configuration The Common Collector (CC) Configuration 5 Bipolar Transistor Summary 6 NPN Transistor 7 PNP Transistor 8 Output Characteristics Curves of a BJT 9 Application of BJT - as a Switch Cut-off Region Saturation Region 10 Thank You Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 2 / 50
  • 3. Bipolar Junction Transistor (BJT) BJT A Bipolar Junction Transistor (BJT) has three terminals connected to three doped semiconductor regions. In an NPN transistor, a thin and lightly doped P-type base is sandwiched between a heavily doped N-type emitter and another N-type collector; while in a PNP transistor, a thin and lightly doped N-type base is sandwiched between a heavily doped P-type emitter and another P-type collector. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 3 / 50
  • 4. Bipolar Junction Transistor (BJT)... Figure : NPN and PNP Transistor Bipolar Transistors are current regulating devices that control the amount of current flowing through them from the Emitter to the Collector terminals in proportion to the amount of biasing voltage applied to their base terminal, thus acting like a current-controlled switch. As a small current flowing into the base terminal controls a much larger collector current forming the basis of transistor action. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 4 / 50
  • 5. Bipolar Junction Transistor (BJT)... In many schematics of transistor circuits (especially when there exist a large number of transistors in the circuit), the circle in the symbol of a transistor is omitted. The figures below show the cross section of two NPN transistors. Note that although both the collector and emitter of a transistor are made of N-type semiconductor material, they have totally different geometry and therefore can not be interchanged. Figure : NPN Transistor Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 5 / 50
  • 6. Bipolar Junction Transistor (BJT)... Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 6 / 50
  • 7. Bipolar Junction Transistor (BJT)... The principle of operation of the two transistor types PNP and NPN, is exactly the same the only difference being in their biasing and the polarity of the power supply for each type. The construction and circuit symbols for both the PNP and NPN bipolar transistor are given above with the arrow in the circuit symbol always showing the direction of conventional current flow between the base terminal and its emitter terminal. The direction of the arrow always points from the positive P-type region to the negative N-type region for both transistor types, exactly the same as for the standard diode symbol. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 7 / 50
  • 8. How a transistor works - the basics The transistor can be considered as two p-n junctions that are placed back to back. The structure has two PN junctions with a narrow base region between the two outlying areas for the collector and emitter. In normal operation, the base emitter junction is forward biased and the base collector junction is reverse biased. When a current flows through the base emitter junction, a current also flows in the collector circuit. This is larger and proportional to the one in the base circuit. In order to explain the way in which this happens, the example of an n-p-n transistor is taken. The same principles are used for the p-n-p transistor except that the current carrier is holes rather than electrons and the voltages are reversed. Figure : Operation of a bipolar junction transistor Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 8 / 50
  • 9. How a transistor works - the basics The emitter in the n-p-n device is made of n-type material and here the majority carriers are electrons. When the base emitter junction is forward biased the electrons move from the n-type region towards the p-type region and the holes move towards the n-type region. When they reach each other they combine enabling a current to flow across the junction. When the junction is reverse biased the holes and electrons move away from one another resulting in a depletion region between the two areas and no current flows. When a current flows between the base and emitter, electrons leave the emitter and flow into the base. Normally the electrons would combine when they reach this area. However the doping level in this region is very low and the base is also very thin. This means the most of the electrons are able to travel across this region without recombining with the holes. As a result the electrons migrate towards the collector, because they are attracted by the positive potential. In this way they are able to flow across what is effectively a reverse biased junction, and current flows in the collector circuit. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 9 / 50
  • 10. How a transistor works - the basics It is found that the collector current is significantly higher than the base cur- rent, and because the proportion of electrons combining with holes remains the same the collector current is always proportional to the base current. In other words varying the base current varies the collector current. IMP The ratio of the base to collector current is given the Greek symbol β. Typically the ratio β may be between 50 and 500 for a small signal transistor. This means that the collector current will be between 50 and 500 times that flowing in the base. For high power transistors the value of β is likely to be smaller, with figures of 20 not being unusual. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 10 / 50
  • 11. Summary of transistor junction bias scenarios NPN TRANSISTOR BIAS & OPERATION SUMMARY ELECTRODE VOLTAGES EMITTER BASE COLLECTOR BASE TRANSISTOR OPERA- TION E < B < C Forward Reverse Forward active. This is the normal mode for linear ampli- fiers. E > B > C Reverse Forward Reverse active. This mode is not normally used as it effectively reverses the emit- ter and collector connections. Lower performance levels are achieved. E < B > C Forward Forward Saturation, i.e. the transistor is switched hard on. This will occur in switching circuits E > B < C Reverse Reverse Cut-off. This occurs when the transistor is switched hard off and no collector current flows. Forward active region is widely used and Reverse active region is rarely used. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 11 / 50
  • 12. Bipolar Transistor Configurations As the Bipolar Transistor is a three terminal device, there are basically three possible ways to connect it within an electronic circuit with one terminal being common to both the input and output. Each method of connection responding differently to its input signal within a circuit as the static characteristics of the transistor vary with each circuit arrangement. 1 Common Base Configuration – has Voltage Gain but no Current Gain. 2 Common Emitter Configuration – has both Current and Voltage Gain. 3 Common Collector Configuration – has Current Gain but no Voltage Gain. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 12 / 50
  • 13. The Common Base (CB) Configuration As its name suggests, in the Common Base or grounded base configuration, the base connection is common to both the input signal and the output sig- nal. The input signal is applied between the transistors base and the emitter terminals, while the corresponding output signal is taken from between the base and the collector terminals as shown. The base terminal is grounded or can be connected to some fixed reference voltage point. The input current flowing into the emitter is quite large as its the sum of both the base current and collector current respectively therefore, the collector current output is less than the emitter current input resulting in a current gain for this type of circuit of “1” (unity) or less, in other words the common base configuration “attenuates” the input signal. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 13 / 50
  • 14. The Common Base (CB) Configuration... Figure : The Common Base (CB) Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 14 / 50
  • 15. The Common Base (CB) Configuration... This type of amplifier configuration is a non-inverting voltage amplifier cir- cuit, in that the signal voltages Vin and Vout are ”in-phase”. This type of transistor arrangement is not very common due to its unusually high voltage gain characteristics. Its input characteristics represent that of a forward bi- ased diode while the output characteristics represent that of an illuminated photo-diode. Also this type of bipolar transistor configuration has a high ratio of output to input resistance or more importantly ”load” resistance ( RL ) to ”input” resistance ( Rin ) giving it a value of ”Resistance Gain”. Then the voltage gain ( Av ) for a common base configuration is therefore given as: Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 15 / 50
  • 16. The Common Base (CB) Configuration... Common Base Voltage Gain = Av = Vout Vin = IC × RL IE × Rin (1) The current gain or current transfer ratio is defined as the ratio between the emitter (input) current IE and the collector (output) current IC : IC IE = α < 1 (2) also, RL Rin is the resistance gain Rg Av = α × Rg (3) The base current IB is calculated as IB = IE − IC = (1 − α)IE (4) Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 16 / 50
  • 17. The Common Emitter (CE) Configuration In the Common Emitter or grounded emitter configuration, the input signal is applied between the base and the emitter, while the output is taken from between the collector and the emitter as shown. This type of configuration is the most commonly used circuit for transistor based amplifiers and which represents the normal method of bipolar transistor connection. The common emitter amplifier configuration produces the highest current and power gain of all the three bipolar transistor configurations. This is mainly because the input impedance is LOW as it is connected to a forward biased PN-junction, while the output impedance is HIGH as it is taken from a reverse biased PN-junction. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 17 / 50
  • 18. The Common Emitter (CE) Configuration Figure : The Common Base (CE) Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 18 / 50
  • 19. The Common Emitter (CE) Configuration In this type of configuration, the current flowing out of the transistor must be equal to the currents flowing into the transistor as the emitter current is given as Ie = Ic + Ib. As the load resistance (RL) is connected in series with the collector, the current gain of the common emitter transistor configuration is quite large as it is the ratio of Ic Ib . A transistors current gain is given the Greek symbol of Beta, β. As the emitter current for a common emitter configuration is defined as Ie = Ic + Ib, the ratio of Ic Ie is called Alpha, given the Greek symbol of α. Note: that the value of Alpha will always be less than unity. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 19 / 50
  • 20. The Common Emitter (CE) Configuration Since the electrical relationship between these three currents, Ib, Ic and Ie is determined by the physical construction of the transistor itself, any small change in the base current (Ib), will result in a much larger change in the collector current (Ic). Then, small changes in current flowing in the base will thus control the current in the emitter-collector circuit. Typically, Beta has a value between 20 and 200 for most general purpose transistors. So if a transistor has a Beta value of say 100, then one electron will flow from the base terminal for every 100 electrons flowing between the emitter-collector terminal. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 20 / 50
  • 21. The Common Emitter (CE) Configuration By combining the expressions for both Alpha, α and Beta, β the mathematical relationship between these parameters and therefore the current gain of the transistor can be given as: Alpha(α) = IC IE (and)Beta(β) = IC IB (5) Therefore, IC = α × IE = β × IB (6) as; Alpha(α) = β β + 1 (and)Beta(β) = α 1 − α (7) IE = IC + IB (8) Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 21 / 50
  • 22. The Common Emitter (CE) Configuration Where: ”Ic” is the current flowing into the collector terminal, ”Ib” is the current flowing into the base terminal and ”Ie” is the current flowing out of the emitter terminal. Then to summaries a little. This type of bipolar transistor configuration has a greater input impedance, current and power gain than that of the common base configuration but its voltage gain is much lower. The common emitter configuration is an inverting amplifier circuit. This means that the resulting output signal is 180o ”out-of-phase” with the input voltage signal. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 22 / 50
  • 23. The Common Collector (CC) Configuration In the Common Collector or grounded collector configuration, the collector is now common through the supply. The input signal is connected directly to the base, while the output is taken from the emitter load as shown. This type of configuration is commonly known as a Voltage Follower or Emitter Follower circuit. The common collector, or emitter follower configuration is very useful for impedance matching applications because of the very high input impedance, in the region of hundreds of thousands of Ohms while having a relatively low output impedance. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 23 / 50
  • 24. The Common Collector (CC) Configuration Figure : The Common Base (CC) Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 24 / 50
  • 25. The Common Collector (CC) Configuration The common emitter configuration has a current gain approximately equal to the β value of the transistor itself. In the common collector configuration the load resistance is situated in series with the emitter so its current is equal to that of the emitter current. As the emitter current is the combination of the collector AND the base current combined, the load resistance in this type of transistor configuration also has both the collector current and the input current of the base flowing through it. Then the current gain of the circuit is given as: Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 25 / 50
  • 26. The Common Collector (CC) Configuration The Common Collector Current Gain IE = IC + IB (9) Ai = IE IB = IC + IB IB (10) Ai = IC IB + 1 = β + 1 (11) Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 26 / 50
  • 27. Bipolar Transistor Summary Then to summaries, the behavior of the bipolar transistor in each one of the above circuit configurations is very different and produces different cir- cuit characteristics with regards to input impedance, output impedance and gain whether this is voltage gain, current gain or power gain and this is summarized in the table below. Figure : Bipolar Transistor Summary Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 27 / 50
  • 28. Bipolar Transistor Summary Characteristic Common Base Common Emitter Common Collector Input Impedance Low Medium High Output Impedance Very High High Low Phase Angle 0o 180o 0o Voltage Gain High Medium Low Current Gain Low Medium High Power Gain Low Very High Medium Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 28 / 50
  • 29. A Bipolar NPN Transistor Configuration The construction and terminal voltages for a bipolar NPN transistor are shown above. The voltage between the Base and Emitter ( VBE ), is positive at the Base and negative at the Emitter because for an NPN transistor, the Base terminal is always positive with respect to the Emitter. Also the Collector supply voltage is positive with respect to the Emitter ( VCE ). So for a bipolar NPN transistor to conduct the Collector is always more positive with respect to both the Base and the Emitter. Then the voltage sources are connected to an NPN transistor as shown. The Collector is connected to the supply voltage VCC via the load resistor, RL which also acts to limit the maximum current flowing through the device. The Base supply voltage VB is connected to the Base resistor RB, which again is used to limit the maximum Base current. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 29 / 50
  • 30. A Bipolar NPN Transistor Configuration... Figure : A Bipolar NPN Transistor Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 30 / 50
  • 31. A Bipolar NPN Transistor Configuration... Figure : A Bipolar NPN Transistor Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 31 / 50
  • 32. A Bipolar NPN Transistor Configuration... So in a NPN Transistor it is the movement of negative current carriers (electrons) through the Base region that constitutes transistor action, since these mobile electrons provide the link between the Collector and Emitter circuits. This link between the input and output circuits is the main feature of transistor action because the transistors amplifying properties come from the consequent control which the Base exerts upon the Collector to Emitter current. Then we can see that the transistor is a current operated device (Beta model) and that a large current ( Ic ) flows freely through the device between the collector and the emitter terminals when the transistor is switched ”fully-ON”. However, this only happens when a small biasing current ( Ib ) is flowing into the base terminal of the transistor at the same time thus allowing the Base to act as a sort of current control input. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 32 / 50
  • 33. A Bipolar NPN Transistor Configuration... The transistor current in a bipolar NPN transistor is the ratio of these two currents (IC IB ), called the DC Current Gain of the device and is given the symbol of hfe or nowadays Beta, (β). The value of β can be large up to 200 for standard transistors, and it is this large ratio between Ic and Ib that makes the bipolar NPN transistor a useful amplifying device when used in its active region as Ib provides the input and Ic provides the output. Note that Beta has no units as it is a ratio. Also, the current gain of the transistor from the Collector terminal to the Emitter terminal, Ic/Ie, is called Alpha, (α), and is a function of the transistor itself (electrons diffusing across the junction). As the emitter current Ie is the sum of a very small base current plus a very large collector current, the value of alpha (α), is very close to unity, and for a typical low-power signal transistor this value ranges from about 0.950 to 0.999 Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 33 / 50
  • 34. A Bipolar NPN Transistor Configuration... α and β Relationship in a NPN Transistor DC Current Gain = Output Current Input Current = IC IB (12) IE = IC + IB and IC IE = α (13) Thus, IB = IE − IC = IE − αIE = IE (1 − α) (14) since, β = IC IB = IC IE (1 − α) = α (1 − α) (15) Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 34 / 50
  • 35. A Bipolar NPN Transistor Configuration... By combining the two parameters and we can produce two mathematical expressions that gives the relationship between the different currents flowing in the transistor. α = β β + 1 or α = β(1 − α) (16) β = α 1 − α or β = α(1 + β) (17) Example If, α = 0.99 then β = 0.99 0.01 = 99 The values of Beta vary from about 20 for high current power transistors to well over 1000 for high frequency low power type bipolar transistors. The value of Beta for most standard NPN transistors can be found in the manufactures data sheets but generally range between 50 – 200. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 35 / 50
  • 36. Examples Example A bipolar NPN transistor has a DC current gain, (Beta) value of 200. Calculate the base current Ib required to switch a resistive load of 4mA. Answer IB = IC β = 4×10−3 200 = 20µA Therefore, β = 200, IC = 4mA and IB = 20µA. Example An NPN Transistor has a DC base bias voltage, Vb of 10v and an input base resistor, Rb of 100kΩ. What will be the value of the base current into the transistor. Answer IB = VB −VBE RB = 10−0.7 100×103 = 93µA Therefore, IB = 93µA. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 36 / 50
  • 37. A Bipolar PNP Transistor Configuration The PNP Transistor has very similar characteristics to their NPN bipolar cousins, except that the polarities (or biasing) of the current and voltage directions are reversed for any one of the possible three configurations Com- mon Base, Common Emitter and Common Collector. The voltage between the Base and Emitter ( VBE ), is now negative at the Base and positive at the Emitter because for a PNP transistor, the Base terminal is always biased negative with respect to the Emitter. Also the Emitter supply voltage is positive with respect to the Collector ( VCE ). So for a PNP transistor to conduct the Emitter is always more positive with respect to both the Base and the Collector. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 37 / 50
  • 38. A Bipolar PNP Transistor Configuration... Figure : A Bipolar PNP Transistor Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 38 / 50
  • 39. A Bipolar PNP Transistor Configuration... Figure : A Bipolar PNP Transistor Configuration Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 39 / 50
  • 40. A Bipolar PNP Transistor Configuration... The voltage sources are connected to a PNP transistor are as shown. This time the Emitter is connected to the supply voltage VCC with the load resistor, RL which limits the maximum current flowing through the device connected to the Collector terminal. The Base voltage VB which is biased negative with respect to the Emitter and is connected to the Base resistor RB, which again is used to limit the maximum Base current. To cause the Base current to flow in a PNP transistor the Base needs to be more negative than the Emitter (current must leave the base) by approx 0.7 volts for a silicon device or 0.3 volts for a germanium device with the formulas used to calculate the Base resistor, Base current or Collector current are the same as those used for an equivalent NPN transistor and is given as. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 40 / 50
  • 41. A Bipolar PNP Transistor Configuration... IC = IE − IB (18) IC = β × IB (19) IB = IC β (20) Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 41 / 50
  • 42. Output Characteristics Curves of a Typical Bipolar Transistor Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 42 / 50
  • 43. Transistor as a Switch Transistor switches can be used to switch a low voltage DC device (e.g. LED’s) ON or OFF by using a transistor in its saturated or cut-off state Figure : Transistor as a Switch Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 43 / 50
  • 44. Transistor as a Switch... When used as an AC signal amplifier, the transistors Base biasing voltage is applied in such a way that it always operates within its ”active” region, that is the linear part of the output characteristics curves are used. However, both the NPN & PNP type bipolar transistors can be made to operate as ”ON/OFF” type solid state switch by biasing the transistors Base terminal differently to that for a signal amplifier. Solid state switches are one of the main applications for the use of transistor to switch a DC output ”ON” or ”OFF”. Some output devices, such as LEDs only require a few milliamps at logic level DC voltages and can therefore be driven directly by the output of a logic gate. However, high power devices such as motors, solenoids or lamps, often require more power than that supplied by an ordinary logic gate so transistor switches are used. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 44 / 50
  • 45. Transistor as a Switch... The areas of operation for a transistor switch are known as the Saturation Region and the Cut-off Region. Operating Regions: Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 45 / 50
  • 46. Transistor as a Switch - Cut off region Here the operating conditions of the transistor are zero input base current ( IB ), zero output collector current ( IC ) and maximum collector voltage ( VCE ) which results in a large depletion layer and no current flowing through the device. Therefore the transistor is switched ”Fully-OFF”. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 46 / 50
  • 47. Cut off region - Characteristics Figure : Transistor as a Switch 1 The input and Base are grounded (0v) 2 Base-Emitter voltage VBE < 0.7v 3 Base-Emitter junction is reverse biased 4 Base-Collector junction is reverse biased 5 Transistor is “fully-OFF” (Cut-off region) 6 No Collector current flows (IC = 0) 7 VOUT = VCE = VCC = “1” 8 Transistor operates as an “open switch” Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 47 / 50
  • 48. Transistor as a Switch - Saturation region Here the transistor will be biased so that the maximum amount of base current is applied, resulting in maximum collector current resulting in the minimum collector emitter voltage drop which results in the depletion layer being as small as possible and maximum current flowing through the transistor. Therefore the transistor is switched ”Fully-ON”. Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 48 / 50
  • 49. Saturation - Characteristics Figure : Transistor as a Switch - Saturation 1 The input and Base are connected to VCC 2 Base-Emitter voltage VBE > 0.7v 3 Base-Emitter junction is forward biased 4 Base-Collector junction is forward biased 5 Transistor is “fully-ON” (saturation region) 6 Max Collector current flows (IC = Vcc RL ) 7 VCE = 0 ( ideal saturation ) 8 VOUT = VCE = “0” 9 Transistor operates as a “closed switch” Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 49 / 50
  • 50. Thank you Please send your feedback at nbahadure@gmail.com For more details and updates kindly visit https://sites.google.com/site/nileshbbahadure/home Main Slide Dr. Nilesh Bhaskarrao Bahadure () Basic Electronics July 26, 2021 50 / 50