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8/7/2019 4.DC1 Biasing - BJTs
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DC BiasingDC Biasing - - BJTsBJTs
CHAPTER 4
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IntroductionIntroductionBJTs amplifier requires a knowledge of both the DC analysis( large signal) and AC analysis ( small signal).F or a DC analysis a transistor is controlled by a number of
factors including the range of possible operating points.
Once the desired DC current and voltage levels have been
defined, a network must be constructed that will establish thedesired operating point.
BJT need to be operate in active region used as amplifier.
The cutoff and saturation region used as a switches.
F or the BJTs to be biased in its linear or active operating region the following must be true:
a) BE junction forward biased, 0.6 or 0.7V
b) BC junction reverse biased
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IntroductionIntroduction
DC bias analysis assume all capacitors are open cct.
AC bias analysis :
1) Neglecting all of DC sources
2) Assume coupling capacitors are short cct. The effect of
these capacitors is to set a lower cut-off frequency for the cct.
3) Inspect the cct (replace BJTs with its small signal model).
4) Solve for voltage and current transfer function and i/o and
o/p impedances.F or transistor amplifiers the resulting DC current and voltageestablish an operating point that define the region that can beemployed for amplification process.
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Slide 1
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
T ransistor Construction
There are two types of transistors: pnp and npn -type.
N ote : the labeling of the transistor:E - Emitter B - BaseC - Collector
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Slide 2
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
T ransistor Operation
With the external sources (V EE and V CC) in the polarities as shown:
The E-B junction is forward-biased and the B-C junction is reverse biased.
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Slide 3
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Currents in a T ransistor
Note that IC is comprised of two currents:
[Formula 3.1]
[Formula 3.2]
C III !
COminorityCmajorityC III !
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Slide 4
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Common Base Configuration
The base is common to both input (emitter base) and output (collector base) of thetransistor.
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Important basic relationships for a transistor:
V BE =0.7V
I E =( +1)I
BI
C
I E = I C +I B
I C = I B
IntroductionIntroduction
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Ope rating PointOpe rating PointF or transistor amplifiers the resulting dc current and voltage
establish an operating point on the characteristics that define the
region that will be employed for amplification of the applied
signal.
Operating point quiescent point or Q-point
The biasing circuit can be designed to set the device operation at
any of these points or others within the active region.
The BJT device could be biased to operate outside the max
limits, but the result of such operation would be shortening of thelifetime of the device or destruction of the device.
The chosen Q-point often depends on the intended use of the
circuit .
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15
18
12
9
6
3
IC(mA)
VCE(V)
IB=60 uA
10 20 30
IB=50 uA
IB=0 uA
IB=40 uA
IB=30 uA
IB=20 uA
IB=10 uA
40
A
C
B
VCEsat
PCmaxICmax
VCEmaxCutoff
Saturation
Various o pe rating p oints within th e limits of o pe rationVarious o pe rating p oints within th e limits of o pe rationof a transistor of a transistor
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Fixe dFixe d--Bias CircuitBias Circuit
F or the dc analysis the network can be isolated from theindicated ac levels by replacing the capacitors with an open-circuit equivalent because the reactance of a capacitor for dc is
The dc supply V cc can be separated into two supplies
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Forward Bias of Bas eForward Bias of Bas e --Emitt e r Emitt e r
W rite KVL equation inthe clockwise directionof the loop :
+V CC IBRB V BE =0
Solving the equation for the current IB results :
B
B
V B V
+
+
--
IB
V
Base-emitter loop
+
-
B
BECCB
R
V-VI !
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Coll e ctor Coll e ctor- -Emitt e r Loo pEmitt e r Loo pThe magnitude of the IC is related directly to IB through
IC= IB ; IB=0
Apply KVL in the clockwise directionaround the indicated close loop results:
V CE + ICRC V CC =0V CE = V CC ICRC
R ecall that :V CE = V C V E ; V E =ICRC
In this case, V E = 0V, soV CE =V C
C
V CE
V CC
C
C c
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Exam p le 1Exam p le 1D etermine the f llowing f or the f ixed bias on f iguration.
The transistor has a = 50
a) I BQ and I CQ b) V CEQ c) V B and V C d) V BC
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S olutionS olution
biased.
reverseisunction-BCthatindicatessignve-
6.13 V83.67.0VVV)d
V6.83VVV
V0.7VV)c
V83.6
k 2.22.35m-12R I-VV) b
m34.2u08.4750II
u08.47k 240
7.012
R VV
I)a
CBBC
CCEQCE
BBE
CCCCCEQ
BQCQ
B
BECCBQ
!!!
!!!
!!
!
!!
!! F!
!!
!
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Exam p le 2Exam p le 2D etermine the f ollowing f or the f ixed bias con f iguration.
The transistor has a = 90a) IBQ and ICQ b) V CEQ c) V B d)V C e) V E
C = .7kohm
B
C
EV BE
V CE
V C C = 6 V
IC
IB
B = 7 0 kohm
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S olutionS olution
V0V)e
V8.17VVd)V
V0.7VV)c
V17.8
k 7.22.93m-16
R I-VV) b
mA93.2u55.3290II
uA55.32k 470
7.016R
VVI)a
E
CCEQCE
BBE
CCCCCEQ
BQCQ
B
BECCBQ
!
!!!
!!
!
!
!
!! F!
!
!
!
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Slide 7
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
3 Regions of Operation
Active
Operating range of the amplifier.
Cutoff -When I B = 0-The amplifier is basically off. There is voltage but littlecurrent.- small collector leakage current- VCE = V CC
Saturation- The amplifier is full on. There is little voltage but lots of
current.- VCE SAT, base-collector junction become forward
biased and IC cannot increase no further.- V CE SAT occur somewhere below the knee of the
collector curve.
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Transistor S aturationTransistor S aturation
The term saturation is applied to any system where levels havereached their max values.F or a transistor operating in the saturation region, the current ismaximum value for a particular design.Saturation region are normally avoided because the B-C junction
is no longer reverse-biased and the output amplified signal will be distorted.
R C
V CE =0V
+
-
V CC
ICsat
R B+
-V RC =V CC
The sat ur at ion curren t f or the f ixed bias con f igur at ion is:
ICsa t R C
VCC
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By refering to example 1 and the figure, determine the saturationlevel.
Solution
Exam p le 3Exam p le 3
limit.thewithinoperatesisIthat theconcluded becan
It.mA34.2Iin1exampleof designThe
mA45.5k 2.212
R V
I
CQ
CQ
C
CCCsat
!
!!!
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F ind the saturation current for the fixed-bias configuration of figure example 2.
Solution
limit.the
withinoperatesisIthat theconcluded becan
It.mA93.2Iin2exampleof designThe
mA92.5k 7.2
16R
VI
CQ
CQ
C
CCCsat
!
!!!
Exam p le 4Exam p le 4
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LoadLoad- -Lin e AnalysisLin e AnalysisW e investigate how the network parameters define the possiblerange of Q-points and how the actual Q-point is determined.R efer to figure below (output loop) one straight line can be draw at output characteristics. This line is called load line .This line connecting each separate of Q-point.
At any point along the load line, values of I B, I C and V CE can be picked off the graph.
The process to plot the load line as follows:
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Step 1:
R efer to circuit, V CE =V CC I C R C (1)
Choose I C =0 mA. Subtitute into (1), we get
V CE =V CC (2) located at X axis
Step 2:Choose V CE =0V and subtitute into (1), we get
I C =V CC / R C (3) located at Y-axis
Step 3:
Joining two points defined by (2) + (3), we get straight line that can be drawn as F ig. 5.6.
LoadLoad- -Lin e AnalysisLin e Analysis
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IC (m )
V CE (V )
Load lineV CC /R C
IC = 0 m
V CC
IBQQ -pointV CE = 0 V
F ig. 5.6
LoadLoad- -Lin e AnalysisLin e Analysis
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IC(mA)
VCE(V)
VCC/R C
VCC
IBQ2
Q-point
Fig. 5.7:Movement of Q-point with increasinglevels of I B
Q-point
Q-point
IBQ3
IBQ1
Cas e 1:
Level IB changed by var ying the value of R B.
Q oint moves up and down
LoadLoad- -Lin e AnalysisLin e Analysis
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IC(m )
V CE (V )
VCC /R C1
V CC
IBQQ -point
F ig. 5.8 : Eff ect o f increasing levels o f R C on theload line and Q -point
Q -pointQ -point
VCC /R C2
VCC /R C3
R C3 > R C2 > R C1
Cas e 2:
V CC f ixed and RC change the load line will shi f t as shown in Fig 5.8
IB f ixed, the Q point will move as shown in the same f igure.
LoadLoad- -Lin e AnalysisLin e Analysis
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IC(m )
VCE (
V)
VCC 1/R C
VCC 1
IBQQ-point
Fig. 5.9: Eff ect o f lo er values o f V CC on the load line and Q-point
Q-point
Q-point
VCC 2/R C
VCC 3/R C
VCC 2VCC 3
VCC1 > VCC2 > VCC3
Cas e 3:
RC f ixed and V CC varied, the load line shi f ts as shown in Fig. 5.9
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Exam p le 5Exam p le 5G iven the load line of F ig. 5.10 and defined Q-point, determine therequired values of V CE , R C and R B for a fixed bias configuration.
15
18
12
9
6
3
I C (m )
V C E (V )
I B = 60 u
10 20 30
I B = 50 u
I B = 0 u
I B = 40 u
I B = 30 u
I B = 20 u
I B = 1 0 u
40
I C m ax
F i . .1 0
Q - p o i tIB=17 u A
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S olutionS olution
kohm2311
177.040I
VVR
R V-V
I
kohm67.2m15
40I
VR
0V .VatR
VI
m0IatV40VV
B
BECCB
B
BECCB
C
CCC
CEC
CCC
CCCCE
:2tep
:1tep
!
Q!
!
!
!!!
!!
!!!
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Exam p le 6Exam p le 6Determine the value of Q-point for this figure. Also find the new
value of Q-point if F change to 150 .
100! F
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16.95mA)V,(2.51 point-Q NewV51.2
56016.95m-12
R I-VV
:4Step
mA16.95113150II
same,isvaluetheA113100k
0.7-12I
150,new:3Step
mA3.11,V67.5int poQV67.5
560m3.11-12
R I-VV
:2Step
mA11.3113100II
A113100k
0.7-12I
100,
:1Step
CCCCCE
BC
B
CCCCCE
BC
B
!
!Q! F!
Q!!
! F
!
!
!
!Q! F!
Q!!
! FThe change of
F cause the big change of Q-point value.
This shows that f ixed
biased con f iguration is
NOT sta ble
The change of
F cause the big change of Q-point value.
This shows that f ixed
biased con f iguration is
NOT sta ble
S olutionS olution
ICQ & V CEQ
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Emitt e r Bias (E- S ATB ILIZED B IAS)The DC bias network below contains an emitter resistor to
improve the stability level of fixed-bias configuration.The analysis consists of two scope:
- Examining the base-emitter loop (input loop)
- Use the result to investigate the collector-emitter loop (output
loop)
Vi
Vo
R C
C 1
C 2
VCC
IC
I
R B
F i . .11 R E
IE
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Bas eBas e --Emitt e r Loo pEmitt e r Loo p
EBBECC
B
EBBEBBCC
BE
EEBEBBCC
R 1R V-V
I
get,finally weequ,theRearrange
0R I1-V-R I-V
get,we(1)intosubtitute,I1Iknown that
(1) 0R I-V-R I-V:KV
F!
! F
F!
!
IE= IC + IB ; IC = I B
IE= I B + IB
= ( + 1)IB
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Coll e ctor Coll e ctor- -Emitt e r Loo pEmitt e r Loo p
EBEBBBCCB
CCCCCECEC
ECCE
EEE
ECCCCCE
CE
EECECCCC
VVV OR R I-VV
R I-VV OR VVV
V-VV
R IV
knowcanalsoweFig.5.13theFrom
)R (R I-VV
get,we(1)equrearrangeIIAssuming
(1) 0R I-V-R I-V:KV
!!
!!
!
!
!
$
!
V CC ICRC = V CE + IERE = V C
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Slide 12
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Characteristics of Common-Emitter
Collector characteristics = output characteristics.Base characteristics = input characteristics.
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Slide 13
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Amplifier Currents
IE = IC + IB
IC = E IE
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Slide 14
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Actual Amplifier Currents
IC = E IE + ICBO
ICBO = minority collector current. This is usually so small that it can be ignored, except inhigh power transistors and in high temperature environments.
[Formula 3.9]
When I B = 0 QA the transistor is in cutoff, but there is some minority current flowing calledICEO .
A0I1I
I BCBO
CEO QE
!!
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Slide 15
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Beta ( F)
In DC mode: [Formula 3.10]
In AC mode: [Formula 3.11]
F indicates the amplification factor of a transistor. ( F is sometimes referred to as hfe, aterm used in transistor modeling calculations)
B
C
II
dc !&
constantVII
ac CEB
C!
((
!&
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Slide 1
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
D etermining beta ( F) from a Graph
Note: F AC = F DC
1087.5)(f or VCEA25
2.7mADC !!!&
Q
1007.5)(f or VCE010
1mA)020330(
2.2mA)(3.2mAAC !!!!&
QQQQ
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Slide 17
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
Relationship between F and E
Both indicate an amplification factor.
[Formula 3.12a]
[Formula 3.12b]
1&&
!E
1!&
E
E
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Slide 18
Robert Boylestad Digital Electronics
Copyright 2002 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458
All rights reserved.
F provides a Relationship between Currents
[Formula 3.14]
[Formula 3.15]
BC II &!
BE 1)I(I &!
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Exam p le 7Exam p le 7
F or the emitter-bias network for F ig.5.14 determine:a)I B b)I C c)V CE d)V C e)V E f)V B g)V BC
R C=2 kohm
VCC =+20 V
IC
IB
R B=430 kohm
Fi . .14 R E=1 kohm
IE
Beta =50
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S olutionS olution
required)as biased(reverse
V27.1398.1571.2VVV)g
V71.201.27.0VVV)f
V01.2k 1m01.2R IR IV
OR
V01.297.1398.15VVV)e
V98.1502.420
k 2m01.220R IVV)d
V97.13
03.620k 1k 2m01.220
R R I-VVc)
m01.21.4050II b)
1.40k 1150k 430
7.020R 1R
V-V Ia)
CBBC
EBEB
ECEEE
CEEE
CCCCC
ECCCCCE
BC
EB
BECCB
!!!
!!!
!!$!
!!!
!!
!!
!
!!
!
!Q! F!
Q!! F
!
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S aturation L eve lS aturation L eve l
The saturation current f or an emitter -bias con f iguration is :
R C
VCE =0 V+
-
VCC
IC satFig. 5 .16
+
-
R E
E C
CC C sat
E C C sat CC
E C sat C C sat CC
R RV I
R R I V
R I R I V
!
!!0
0
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D etermine the saturation current f or the networ k of example 7.
S olution:S olution:
This value is a bout three times the level of ICQ
(2 .01 m A F=50 ) f or the example 7. Its indicate the parameter that been used in example 7 can be use in anal ysis of emitter bias networ k.
mA67.6k 3
20k 1k 2
20
R R VI
EC
CCCsat
!!!
!
Exam p le 8Exam p le 8
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The process to plot the load line as f ollows :
Step 1:Re f er to f ig. 5.13 , V CE =V CC IC(R C+ RE) (1)Choose IC=0 m A. Su btitute into (1), we get
V CE =V CC (2) located at X axis
Step 2:Choose V CE =0 V, su btitute into (1) gives
axisYatlocated(3) R R
VI 0VVCE
EC
CCC ! !
Load-Lin e Analysis
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Step 3:J oining two points de f ined by (2 ) + (3), we get straight line that can
be drawn as Fig. 5.17 :IC
VCE(V)
VCC /(R C+R E)
VCC
IBQQ-point
Fig. 5.17: Load line f or the emitter-bias con f iguration
VCEQ
ICQ
Load-Lin e Analysis
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Exam p le 9Exam p le 9F or the emitter-bias network for F ig.5.14 determine:a) Draw a load line in the graph on the characteristic.
b)I B c)I C d)V CE e)V C f)V E g)V B h)V BC i) Choose the operating point between cut off and saturation, determine
the resulting values I CQ and V CEQ
j) k) l) ICsat
Beta =50
15 V
30
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Voltag e Divid e r BiasVoltag e Divid e r Bias
I CQ and V CEQ from the table is changing dependently the changing of F.
The voltage-divider bias configuration is designed to have a lessdependent or independent of the F.
If the circuit parameter are properly chosen, the resulting levels of I CQand V CEQ can be almost totally independent of F.
F IB(Q A) IC(m A) V CE (V )
50 40 .1 2 .01 13 .97100 3 .3 3 .6 3 9 .11
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Two method for analyzed the voltage-divider bias configuration:- Exact method ( applied anywhere)- Approximate method (only if specified conditions are
satisfied)
Voltag e Divid e r BiasVoltag e Divid e r Bias
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Exact AnalysisExact Analysis
Step 1 :
The input side of the network can be redrawn for DC analysis.Step 2 :
Analysis of Thevenin equivalent network to the left of baseterminal
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Step 2(a) :
R eplaced the voltage sources with short-circuit equivalent and gives the value of R TH
Exact AnalysisExact Analysis
21TH R R R !
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Step 2(b ):
Determining the E TH by replaced back the voltage sources and open circuit Thevenin voltage. Then apply the voltage-divider rule.
21
CC22R T
R R
VR VE !!
Exact AnalysisExact Analysis
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Step 3 :
The Thevenin network is then redrawn and I BQ can bedetermined by KVL 0R IVR IE EEBETHBTH !
givesI1Iubtitute BE !
ETHBETH
B
R 1R
VEI
F!
Exact AnalysisExact Analysis
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Exam p leExam p leDetermine the DC bias voltage V CE and current I C for thevoltage-divider configuration of network below:
R C = 1 0 k o h m
VC C = 2 2 V
R 1 = 3 9 k o h m
R E = 1 . 5 k o h mR 2 = 3 . 9 k o h m
140! F
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kohm3.55k 9.3k 39 k 9.3k 39
R R R 21TH
!!
!
V2
k 9.3k 3922k 9.3
R R VR
E21
CC2TH !!!
A05.6
k 5.11140k 55.37.02
R 1R VE
I ETHBETH
B
Q!!
F!
mA85.005.6140II BC !Q! F!
V22.12
k 5.1k 10m85.022
R R IVV ECCCCCE
!
!
!
S olutionS olution
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F or the voltage-divider bias configuration, determine: I BQ , I CQ ,V CEQ , V C , V E and V B.
Exam p leExam p le
S l tiS l ti
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kohm7.93k 1.9k 62
k 1.9k 62
R R R 21TH
!!
!
V05.2
k 1.9k 6216k 1.9
R R
VR E
21
CC2TH !!!
A4.21
k 68.0180k 93.77.005.2
R 1R VE
IETH
BETHBQ
Q!!
F!
mA712.14.2180II BCQ !Q! F!
V16.8
k 68.0k 9.3m712.116
R R IVV ECCCCCEQ
!!
!
V32.9k 9.3m712.116R IVV CCCCC
!!
!
V18.1
k 68.0m712.14.21
k 68.0II
R IV
CB
EEE
!
Q!
!
!
V88.1
7.018.1
VVV BEEB
!
!
!
S olutionS olution
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App roximat e AnalysisApp roximat e AnalysisStep 1 :
FR E u 10 R 2 Step 2 :
The input section can be represented by the network of figure below and R
2 can be considered in series by assuming
I 1$ I 2 and I B= 0A .
E i
i
R R
I I R R
1
212
!
$u
F
R 1
R iR 2
Partial-bias circuit for calculating theapproximate base voltage, B
CC
I1
I2
IB
B
+
-
This eq n must b e satisfi e d. If not, a pp roximat e analysiscant b e us e d , and you ha ve to us e th e e xact analysis(Th eve nins m e thod )
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21
CC2R 2B
R R
VR VV
:determined becanvoltage baseThe
!!
BEE
EBBE
E
V-VV
V-VV
:wellascalculated becanVleveland
B!
!
ECQ
E
EE IIand
R V
I
:determined becancurrentemitter theand
$! E E R R )1(R where
10R R
:approacheapproximat
definethat willCondition
i
2E
F F !!
u
App roximat e AnalysisApp roximat e AnalysisR1
RiR2
Partial-bias circuit for calculating theapproximate base voltage, V B
VCC
I1
I2
IB
VB
+
-
Step 3:
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N P N Transistor S imulationN P N Transistor S imulation
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R epeat the analysis of example 9 using the approximatetechnique and compare solution for I CQ and V CEQ .
Solution:
Exam p leExam p le
!satis f iedkohm39kohm210
k 9.310k 5.1140
R 10R
:tep1
2E
u
u
u F
dra n becancct bias partialthe:2tep
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V2
k 9.3k 3922k 9.3
R R VR
V
:3Step
21
CC2B !!!
V3.17.02
VVV BEBE
!!
!
mA867.0k 5.1
3.1
R
VII
E
EECQ !!!$
V03.12
k 5.1k 10m867.022
R R IVV ECCCCCEQ
!
!
!
ICQ (m A) V CEQ (V )
Exact Anal ysis
0.8 5 12 .22
Approximate Anal ysis
0.86 7 12 .03
ICQ and V CEQ are certainl y close.
S olutionS olution
Exam p leExam p le
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R epeat the exact analysis of example 9 if F is reduced to 70.Compare the solution for I CQ and V CEQ .
Solution:Solution: kohm3.55R TH !V2E TH !
A81.11k 5.1170k 55.3
7.02R 1R
VEI
ETH
BETHB
Q!! F
!
mA83.081.1170II BC !Q! F!
Exam p leExam p le
S olution (continu e d )S olution (continu e d )
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V46.12k 5.1k 10m83.022
R R IVV ECCCCCE
!!
!
FICQ (m A) V CEQ (V )
140 0 .8 5 12 .22
70 0 .8 3 12 .46
Conclusion : Even though F is drasticall y hal f , the level ICQand V CEQ are essentiall y same.
S olution (continu e d )S olution (continu e d )
Exam p leExam p le
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D etermine the levels of ICQ and V CEQ f or the voltage -divider con f iguration using the exact and approximate anal ysis. Compare the solution.
R C . ohm
V CC 8 V
R 1 =8 oh m
R E =1.2 ohmR 2=22 ohm
ICQ
I Q
Exam p leExam p le
S olutionS olution
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S olutionS olution
kohm35.71k 22k 82
k 22k 82
R R R
:AnalysisExact
21T
!!
!
V81.3
k 22k 8218k 22
R R VR
E21
CC2T
!!!
A6.39
k 2.1150k 35.177.081.3
R 1R VEI
ET
BET
BQ
Q!!
F!
mA98.16.3950II BCQ !Q! F!
V54.4
k 2.1k 6.5m98.118
R R IVV ECCCCCEQ
!
!
!
S olution (continu e d )S olution (continu e d )
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satis f ied)(not220kohm60kohm
k 2210k 2.150
R 10R
:AnalysiseA pproximat
2E
u
u
u F
V81.3
k 22k 8218k 22
R R VR
EV21
CC2TB !!!!
V11.37.081.3
VVV BEBE
!!
!
mA59.2
k 2.1
11.3
R
VII
E
EECQ !!!$
V88.3
k 2.1k 6.5m59.218
R R IVV ECCCCCEQ
!
!
!
S olution (continu e d )S olution (continu e d )
S olution (continu e d )S olution (continu e d )
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S olution (continu e d )S olution (continu e d )
ICQ (m A) %di ff erence V CEQ (V)
%di ff erence
Exact Anal ysis
1.9823 .5%
4.5417 %
Approximate Anal ysis
2.59 3 .88
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The saturation collector -emitter circuit f or the voltage -divider con f iguration has the same appearance as the emitter -biased
con f iguration as shown below.
EC
CCCsat
R R VI !
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Load Lin e AnalysisLoad Lin e Analysis
The similarities with the output circuit of the emitter -biasedcon f iguration result in the same intersections f or the load line of the voltage -divider con f iguration.
The load line there f ore have the same appearance with :
axisatlocate d R R
VI 0VVCE
EC
CCC ! !
axisXatlocate d VV 0m AICCCCE ! !
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Another wa y to improve the sta bility of a bias circuit is to add a f eed bac kpath f rom collector to base. In this bias circuit the Q -point is onl y slightl y
dependent on the transistor Beta F.
DC Bias with Voltag e Fee dbackDC Bias with Voltag e Fee dback
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Bas eBas e --Emitt e r Loo pEmitt e r Loo p Appl ying Kircho ffs voltage law : V CC IC
d R C IBR B V BE IERE = 0
Note : ICd = IC + IB -- but usuall y IB
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Coll e ctor Coll e ctor- -Emitt e r Loo pEmitt e r Loo p
Appl ying Kircho ffs voltage law : IE + V CE + ICd
RC V CC = 0
Since ICd $ IC and IC = FIB: IC(R C + R E) + V CE V CC =0
Solving f or V CE : V CE = V CC - IC(R C+ RE)
)( E C C CC CE R R I V V !
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Transistor S aturation L eve lTransistor S aturation L eve l
EC
CCCC
R R V
maxIsatI !!
Load Lin e AnalysisLoad Lin e Analysis
It is the same anal ysis as f or the voltage divider bias
and the emitter -biased circuits.
S imulation of a N P N ty pe commonS imulation of a N P N ty pe common- -e mitt e re mitt e r
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S imulation of a P ty pe commonS imulation of a P ty pe common e mitt e r e mitt e r transistor transistor
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M isc e llan e ous configurationM isc e llan e ous configuration
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De sign Ope ration
W e are able to design the transistor circuit using the ideas that we have learnt before during analyzing dc biasing circuit.How?
- Understand the Kirchoffs Law and other electric circuit law such as Ohms Law, Thevenin Laws etc - Identify the parameters given- Analyze into the input/output for the system and build a
loop using electric circuits law.
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De sign Ope rations
If the transistor and supplies are specified,the design process will simply determine therequired resistor for a particular design.Once the theoretical values of the resistorsare determined, the nearest standard commercial values are normally chosen and
any variations due to not using the exact resistance values are accepted as part of thedesign.
R unknown =V R /I R
e s gn o a as c rcu w an e m e r e s gn o a as c rcu w an e m e r
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f ee dback r e sistor f ee dback r e sistor
The emitter resistor is to 1/10 of the suppl y voltage
De sign of a bias circuit with anDe sign of a bias circuit with an
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R E and R C cannot proceed directly from theinformation just specified.R E to provide dc bias stabilization so that thechange of collector current due to leakage currentsin the transistor and the transistor beta would not cause a large shift in the operating point.
The R E cannot be unreasonably large because thevoltage across it limits the range of swing of thevoltage from collector to emitter.V E typically -1/10 from supply voltage
De sign of a bias circuit with anDe sign of a bias circuit with ane mitt e r f ee dback r e sistor e mitt e r f ee dback r e sistor
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Exam p le 3
Determine the resistor values for the network,for
the indicated operating point and supply voltage.
(b e ta ind epe nd e nt )(b e ta ind epe nd e nt )
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The emitter resistor is to 1/10of the suppl y voltageTo determine R1 and R2 use 10R 2 RE
( p )( p )
Transistor as switchingTransistor as switching
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Transistor as switchingTransistor as switchingn e tworksn e tworks
Transistor wor ks as an inverter in computer circuits.Operating point switch f rom cut -off to saturation along the load line f or proper inversion.In order to understand, we assume that ;
IC=ICEO =0 m AV CE =V sat =0 V
One must understand the transistor graph output and load -line anal ysis to descri be and discuss a bout the
transistor switching networ ks.
Transistor as switching n e tworksTransistor as switching n e tworks
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uAmAI
ITherefore
mAR
V
k
V I
II
CsatB
C
cc
IB
CsatB
8.481251.6
,
1.6I
63uA68
7.0that,seellwe'figure,thewithcompare
thatensuremustWe
Csat
!!"
!!
!!
"
F
F
gg
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Tim e int e r val
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Tim e int e r val (continu e d )Tim e int e r val (continu e d )
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Troubl e shootingTroubl e shooting
How to define and encounter transistor circuit problem?
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