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AEI302.16 1
• Amplifier raises the level of a weak signal.
• No change in the wave shape.
• No change in the frequency of the input signal
What is an amplifier?
AEI302.16 2
• The signal is generally the o/p of a transducer like
microphone, thermo couple.
• It is very weak.
• It must be amplified before feeding to the loud speaker etc.
Why we need Amplification?
AEI302.16 3
Block diagram of an Amplifier
AEI302.16 4
• Common Base Configuration
• Common Emitter Configuration
• Common Collector Configuration
Different Configurations of Transistor
AEI302.16 5
In how many regions a transistor can be operated?
1. Cut off region
2. Active region
3. Saturation region
AEI302.16 6
Cutoff region Emitter junction & Collector junction are in Reverse Biased
Active regionEmitter junction Forward Biased & Collectorjunction Reverse Biased
Saturation regionEmitter junction & Collector Junction are in Forward Biased
AEI302.17 7
CIRCUIT OF C.E.AMPLIFIER
AEI302.17 8
Working of C.E.Amplifier
• Base emitter junction is forward biased by VBB.
• Collector base junction is reverse biased by VCC.
• During positive half cycle of signal forward bias is increased.
• Hence base current IB is increased.
• So Ic increases and ICRC drop increases.
• The output VCE decreases
as VCE = VCC - ICRC
• There is a phase shift of 180º between input and output.
AEI302.17 9
Output Signal
Input Signal
Wave Forms of Input and Output Signals
AEI302.17 10
Salient points of C.E.Amplifier
• Moderately low input resistance(1 k to 2 k).
• Moderately high output resistance(50 k).
• High current gain.
• Very high voltage gain.
• Very high power gain.
• Input and output signals are 180° out of phase.
AEI302.17 11
Comparison Of Amplifier Configurations
NoYesNoPhase Reversal6.
LowHighVery HighOutput Impedance
5.
Very HighHighLowInput Impedance4.
Low HighHighPower Gain3.
Nearly UnityVery HighHighVoltage Gain2.
Very HighHighNearly UnityCurrent Gain1.
C.B C.E C.C
ParticularsS.No
AEI302.17 12
WHICH CONFIGURATION IS BEST SUITED AS AN AMPLIFIER ?
C.E.CONFIGURATION
AEI302.17 13
• its input and output impedances are suitable in many applications.
• it offers current gain,voltage gain,power gain.
Why C.E.Configuration Is Commonly Used?
AEI302.18 14
The operating conditions of a transistor are determined by
• VCE collector to emitter voltage
• IC collector current
Concept of DC Load Line
AEI302.18 15
The value of IC for a given VCE can be known
• From output characteristics of a transistor.
• From D.C.Load Line .
AEI302.18 16
Which one is convenient ?
• D.C. Load Line
AEI302.18 17
• It is a graph drawn between collector current IC and
collector to emitter voltage VCE for a given VCC and RC.
What is a D.C.Load Line ?
AEI302.18 18
• VCE is taken on X-axis
• IC is taken on Y-axis
To draw the d.c.Load Line of a transistor
AEI302.18 19
• Only two points cut-off point and saturation point are required.
• Line joining these two points is known as load line.
How we can draw the D.C.Load Line?
AEI302.18 20
Determination of cut-off point
The output equation of a transistor in C.E.mode is VCC = VCE + ICRC
When transistor is cut-off IC = 0
So VCC = VCE
Hence cut-off point = (VCE, 0)
AEI302.18 21
Determination of Saturation point:
In Saturation VCE of a transistor is zero.
Hence VCC = ICRC
Ic = VCC / RC
Hence Saturation point = (0,VCC / RC)
AEI302.18 22
Cut-off point
Saturation point(0 ,VCC /
RC)
(VCE,0)D.C.Load Line
VCE
IC
Active region
AEI302.18 23
• D.C.Load line represents all possible DC
operating points of a transistor for a specified
values of Vcc & Rc
AEI302.18 24
• The lower end of the D.C.Load Line is called cut-off
point.
• The upper end of D.C.Load Line is saturation point.
• The entire region between these two points indicates
active region.
AEI302.18 25
In a C.E. Configuration the Vcc = 12v, Rc = 3k
Find D.C.Load Line ?
Problem
AEI302.18 26
SOLUTION
The output equation of a transistor is VCC = VCE + ICRC
12 = VCE + 3 * IC
When IC = 0; VCE = 12 v
The Coordinates of cut off point are (12v , 0)
When VCE = 0
IC = VCC
/ RC
= 12 v / 3 kΩ
= 4 mA
The Coordinates of saturation
point are (0, 4mA)
AEI302.18 27
Active Region
(12,0)
(0,4mA)
D.C.Load Line
Cut-off point
Saturation point
VCE
IC
AEI-302.19 28
What is the difference between D.C & A.C load
lines?
AEI-302.19 29
A.C LOAD LINE
• A.C Load Line gives the values of ic and vce when
an A.C signal is applied.
AEI-302.19 30
Circuit of a C.E .Amplifier
RE
AEI-302.19 31
For A.C analysis
• All capacitors in the circuit may be considered as short circuits.
• The collector resistance Rc comes parallel with load
Resistor RL and forms the A.C load resistance.
• Effective Load for A.C signal is
Rac = Rc || RL = RcRL / Rc+RL
AEI-302.19 32
• When signal is applied “Q”point swings
along ac load line.
AEI-302.19 33
Drawing an A.C load line
• The output equation of transistor is
Vce + ic Rc = 0 (1)
Ic = -Vce / Rac (2)
A.C collector voltage is
Vce = vCE – vCEQ (3)
Substituting these values in equation (1)
vCE – VCEQ + (ic-ICQ)Rac = 0
Ic = ICQ + VCEQ / Rac – vCE / Rac
AEI-302.19 34
Determination of Cut-off & Saturation points
• In saturation vCE = 0
• Hence ic(sat) = ICQ + VCEQ/Rac
• ic(sat) = a.c saturation current
• ICQ =d.c Collector current
• VCEQ = DC collector - Emitter voltage .
• Rac = a.c load resistance
Saturation point
AEI-302.19 35
Cut-off point
• When transistor is cut-off ic equals to zero
• ICQ +vCEQ / Rac - vCE(cutoff) / Rac = 0
• vCE(cutoff) = vCEQ + I CQ Rac.
AEI-302.19 36
Line joining these two points is called A.C Load Line
• The maximum possible positive signal swing is ICQRac.
• The maximum possible negative signal swing is vCEQ.
It represents all possible a.c operating points.
AEI-302.19 37
AEI-302.19 38
PROBLEM
1. Draw the dc & ac load line for the C.E circuit shown in figure.
AEI-302.19 39
SOLUTION• D.C OPERATING POINT
• Vce(cutoff) = Vcc
= 20 v (Represents point B)
• I c(saturation) = Vcc / Rc+RE = 20 / (3+2)K
=4 mA (Represents point A)
• Line AB represents dc load line.
AEI-302.19 40
ICQ =4 mA / 2 = 2mA
(Taking “Q”at the centre of dc load line)
VCEQ = Vcc - ICQ(Rc+RE)
= 20 – 2 (3+2) = 10 v
A.C Load resistance = RC || RL
= 3 || 12
= (3*12) / (3+12)
= 2.4 K
CALCULATION OF AC LOAD LINE
AEI-302.19 41
Ic (sat) = ICQ + VCEQ / Rac
= 2 X 10-3+ 10 / 2.4= 6.17 mA
Hence saturation point = ( 0 , 6.17mA)
VCE(cut off) = VCEQ + ICEQ * RE
= 10 + 2 X 10-3 * 2 X 103
= 14.8 v
Hence cut off point = ( 14.8 v , 0).
Line joining CD is ac load line.
This line passes through “Q” point.
AEI-302.19 42
(20 v,) 0
B
A (0, 4 mA)
D (14.8 v, 0)
C (0, 6.17mA)
A.C.Load line
D.C.Load line
VCE
IC
Fig. 4
AEI302.20 43
Need for biasing
• For normal operation of a transistor amplifier circuit, the transistor must be biased so that it operates in the active region (linear) of it’s characteristics. That means
• Forward bias on the emitter-base junction
• Reverse bias on the collector-base junction
AEI302.20 44
For achieving faithful amplification the following
conditions should be satisfied
• 1. Proper Zero signal collector current IC.
• 2. Proper Base-Emitter voltage VBE at any instant .
• 3. Proper Collector-Emitter voltage VCE at any instant.
AEI302.20 45
What is meant by Zero signal collector current?
• The current following through a transistor in the absence of A.C
signal is known as Zero signal collector current IC.
AEI302.20 46
Condition 1
• Zero signal collector current IC should be equal to the
maximum collector current due to signal alone.
AEI302.20 47
For Example:
• An input signal causes a peek collector current of 1mA; Then Zero
signal collector current can be either 1mA or more than 1mA.
AEI302.20 48
IC > Maximum current due to A.C.Signal
Here IC= 1mA
• The maximum collector current due to signal is 0.5mA.
• So the total collector current varies between 1.5mA to 0.5mA.
1mA
1.5mA
AEI302.20 49
When IC = Maximum current due to A.C.Signal
Here IC= 1mA
Maximum current due to A.C.Signal is 1mA.So total current varies between 2 mA and 0 mA
0mA
1mA
2mA
AEI302.20 50
When IC< Maximum current due to A.C.Signal
Here IC= 0.5mA
Maximum current due to A.C.Signal is 1mA Collector current IC becomes –ve during some part of input signal. • It means output waveform is clipped during that part. • Hence there is distortion in output.
-0.5mA
0.5mA0.m
A
1.5mA
AEI302.20 51
We can conclude that:
• For faithful amplification
Zero signal collector current IC maximum collector
current due to signal alone
AEI302.20 52
Condition - 2
Minimum proper Base -Emitter voltage .
• The Base – Emitter voltage VEBshould not fall below
• 0.3v for Germanium transistors.
• 0.7v for Silicon transistors.
AEI302.20 53
• If VBE falls below these values during any part of the signal,
that part will be amplified to a smaller extent and faithful
amplification is not possible.
AEI302.20 54
The conditions 1 & 2 ensures
• Emitter-Base junction remains properly forward biased during
all parts of input signal.
AEI302.20 55
Condition - 3
Minimum proper Collector-Emitter voltage should not fall below knee voltage.
• 0.5v for Germanium Transistors.
• 1.0v for Silicon Transistors.
AEI302.20 56
• If VCEis less than knee voltage
• Collector Base junction is not properly reverse biased.
• Amplification is not uniform.
• Causes distortion in o/p waveform.
AEI302.20 57
The condition 3 ensures
• The Collector-Base junction remains properly reverse biased
during all parts of input signal.
AEI302.20 58
• The proper flow of zero signal collector current and
maintenance of proper colletor - emitter voltage during the
passage of signal is called TRANSISTOR BIASING
AEI302.20 59
A Transistor can be biased
• With the help of a battery.
• Associating a circuit with the Transistor.
AEI302.20 60
The second method is more efficient:
• The circuit used for Transistor biasing is called
BIASING CIRCUIT.
AEI302.20 61
• Transistor Biasing is very essential for proper operation
of a Transistor.
AEI302.20 62
PROBLEM
Find the maximum input current permissible
for faithful
amplification of a silicon transistor having RC
= 4 kΏ and
VCC= 10 v. The knee voltage = 1 v. β = 50.
AEI302.20 63
SOLUTION
The output equation of transistor is
VCC =VCE + IC RC
10 = 1 + 4*103 * IC
Ic = (10-1)/ (4*103)
= 2.25 mA
IB = IC / β
= 2.25 mA / 50
= 45 μA
AEI-302.21 64
OPERATING POINT
o VCE
Dc Load line
Ac Load Line
Ic
VccRc
AEI-302.21 65
• It is a point on the DC load line which specifies
collector current IC and collector emitter voltage
VCE that exist when no signal is applied.
• The operating point is also known as “Quiescent
point” or “Q” point.
OPERATING POINT
AEI-302.21 66
• When an input signal is applied, base current varies
according to the input signal.
• This causes collector current IC and out put voltage VCE
to vary.
• For faithful amplification selection of operating point is
very important.
OPERATING POINT
AEI-302.21 67
A transistor should be biased to operate within the maximum limits of the following.
• Maximum Collector Current ICmax)
• Maximum Collector voltage VC(max)
• Maximum Collector dissipation PC(max)
• Maximum Emitter –Base voltage VBE(max)
AEI-302.21 68
VCE
IC
Q2
QQ1
Output characteristics
DC Load Line
DC Load line is drawn on output characteristics Fig 1
AEI-302.21 69
As shown in fig.1 operating point is the
intersection of
D.C load line on O/P characteristics of a
transistor. There are several operating
points.
AEI-302.21 70
•If operating point is selected at Q1 near the cut off region,
output current Ic, and voltage VCE clipped at the negative
peaks for a sinusoidal varying input signal.
How the operating point is selected?
•If operating point is selected at Q2, near
the saturation region, the output signal
would be clipped at the positive peaks for a
sinusoid ally varying input signal.
AEI-302.21 71
•Selecting the operating point on the center of D.C. Load
Line is not a rule.
•Generally operating point is selected at the centre of DC load line.
•For large signal amplifiers “Q” point can be
taken on the center of D.C. Load Line.•For small signal amplifiers where the input signal excursion is very small.”Q” point can
be selected any where on D.C. Load Line depending on circuit conditions.
How the operating point is selected
AEI-302.21 72
PROBLEM
In a transistor circuit RC= 5 k Ώ and
VCC = 10v. The zero signal collector
current is 1.0 mA. Find the operating
point.
AEI-302.21 73
VCC =VCE + ICRC
VCE = VCC – ICRC
= 10 – (1 *10-3 * 5*103)
= 5 v.
The operating point is ( 5 v,
1mA)
Solution
AEI302.22 74
Stabilization is nothing but keeping the
Q- point (operating point)stable irrespective of
the variation in temperature, β of the
transistor and vbe
STABILIZATION
AEI302.22 75
•In a transistor amplifier fixing suitable operating point is not sufficient.
•The operating point should remain stable.
AEI302.22 76
Stabilization of operating point is essential because, it may change due to
Instability of Collector current IC. With
temperature ,Ie., ICBO or ICO
• Variation of VBE
• Change of β with transistor replacement.
AEI302.22 77
Instability of IC
In a CE amplifier
IC = β IB + (1+β) * ICO.
The reverse saturation current ICO increases at a rate
of 7 % / ° C for both Ge & Si transistors.
Or
ICO doubles for every 10 °C rise in temperature.
AEI302.22 78
Variation of VBE with temperature /change of transistor.
Base-Emitter voltage VBE decreases at a rate of 2.5 mv per°C.
AEI302.22 79
Change of β factor
• The value of β is not same for any two
transistors even of same type.
• For Ex : BC147 is a Silicon transistor with β
varying from 100 to 600.
AEI302.22 80
All the above factors can cause the bias point to shift
from the values originally fixed.
AEI302.22 81
THERMAL RUNAWAY
• The collector current IC increases with increase in temperature.
• This increases power dissipation and further increases the temperature, and it will increase icbo and hence finally ic.
• Being a cumulative process it can result in burn –out of transistor.
AEI302.22 82
The self destruction of an un-stabilized transistor is called
THERMAL RUNWAY
AEI302.22 83
Means of achieving stability for operating point
• Stabilization techniques.
• Compensation techniques.
AEI302.22 84
STABILIZATION TECHNIQUES
• Use a resistive biasing circuit.
• It permits variation of base current IB to maintain
collector current Ic constant.
• IC is made constant against variations in ICO,VBE and β
AEI302.22 85
COMPENSATION TECHNIQUES
• They use temperature sensitive devices such as diodes, transistors & thermisters
• They produce compensating voltages and currents and make operating point stable.
AEI302.23 86
On what factors operating point is dependent?
• ICO Reverse current
• VBE Base Emitter voltage
Current amplification factor
AEI302.23 87
The degree of stability of IC against variations in ICO ,VBE &
β is expressed in terms of stability factors.
Stability factor
AEI302.23 88
The different stability factors
• s
• sv (s|)
• s (s||)
AEI302.23 89
Stability factor S
• Stability factor “S” is defined as the rate of change of
collector current IC with respect to change in ICO keeping
and VBE constant.
• S = dIC / dICO (At constant and VBE)
AEI302.23 90
The General expression for S
The expression for collector current Ic is
IC= β *IB + (1+ β) ICO
Differentiating w.r.t. IC
1 = β * dIB/dIC + (1+ β) * dICO / dIC
1 = β * dIB/dIC + (1+ β) / S
S = (1+ β) / (1 – (β * dIB/dIC))
AEI302.23 91
• The ideal value of S is unity.
• The smaller the value of S the higher is the stability.
AEI302.23 92
In CB amplifier the output current IC is given by
IC = *IE + ICO
Differentiating w.r.t ICO
dIC / dICO = 1.
C.B amplifier achieves the lowest value of ‘S’.
So C.B amplifier does not require stabilization.
AEI302.23 93
Stability factor SV
• It is defined as the rate of change of collector current IC
with respect to change in VBE keeping ICO and constant.
• SV = dIC / dVBE (at constant ICO and )
AEI302.23 94
Stability factor S
• Stability factor S is defined as the rate of change of
collector current ICwith keeping ICO and VBE constant.
• S = dIC/ d (at constant ICO & VBE)
AEI302.23 95
• The expression for collector current IC is
• IC = * IB + (1+ )ICO
• Differentiating w.r.t. IC
• 1 = *dIB / dIC + IB * d /dIC + ICO d /dIC
• 1 - * dIB / dIC = d /dIC (IB + ICO)
• (1/S) (IB + ICO) = 1 – ( *dIB /dIC)
• S = (IB + ICO) / 1 – ( * dIB /dIC)
General Expression for S