1. Chapter 2: BJT and its
applications
Module 1 : BJT Characteristics
Reference:
Robert L. Boylestad, Louis Nashelsky, Electronic Devices & Circuits
Theory, 11th Edition, PHI, 2012
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2. At the end of this module, students will be able to:
οDiscuss the operation of Bipolar Junction Transistor.
οDraw Common Base and Common Emitter configuration of transistor.
οExplain input and output characteristics of Common Base and
Comon Emitter Configurations of transistor.
οDerive expressions for current gains in transistor.
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4. Introduction
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3 terminal , 2 junction device
Types of Transistors β NPN Transistor
β PNP Transistor
5. NPNβEmitter and Collector are
N-type
Base is P-type
PNPβEmitter and Collector are
P-type
Base is N-type
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3 terminals β Emitter, Base, Collector
2 junctions β Emitter-Base junction, Collector-Base junction
Emitter is heavily doped. Collector is moderately doped. Base is lightly
doped.
6. Transistor Symbol
NPN Transistor PNP Transistor
NPN Transistor PNP Transistor
Arrow head indicates direction of current
Current is due to both free electrons and holes
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7. Modes of operation
Mode Emitter-Base Junction Collector-Base Junction
Cut-Off Reverse Biased Reverse Biased
Active Forward Biased Reverse Biased
Reverse Active Reverse Biased Forward Biased
Saturation Forward Biased Forward Biased
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8. Working of an NPN Transistor
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9. Emitter-Base junction forward biased, Collector-Base junction reverse
biased
Free electrons from emitter drift towards base region
Some free electrons recombine with holes in base region to form small base
current
Inside base region(P-type), free electrons are minority carriers.
Most of the free electrons are swept away to collector region due to reverse
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10. Currents in BJT
Emitter Current β Due to the flow of free electrons from emitter to base
region. Results in a current from base to emitter
Base Current βDue to the recombination of free electrons and holes in
the base region. Very small magnitude
Collector Current β One, due to the injected free electrons from base region
to collector. Other, due to thermally generated minority charge carriers
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11. Applying KCL to the BJT,
πΌπΈ = πΌπΆ + πΌπ΅
where, πΌπΆ = πΌπΆ(ππππππ‘ππ)+ πΌπΆπ΅π
πΌπΆ(ππππππ‘ππ)= Ξ±ππ*πΌπΈ
πΌπΆ = Ξ±ππβπΌπΈ + πΌπΆπ΅π
πΌπΆπ΅π: Collector to base reverse saturation current with emitter open
Since πΌπΆπ΅πβ 0
Ξ±ππ =
πΌπΆ
πΌπΈ
; Common base DC current gain
Gives a measure of free electrons emitted from emitter, that enters collector
region
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12. Typically Ξ±ππ β 0.99
Like in diode, reverse saturation current πΌπΆπ΅π doubles for every 100C rise in
temperature
πΌπΆ = Ξ±ππβπΌπΈ + πΌπΆπ΅π and πΌπΈ = πΌπΆ + πΌπ΅
β πΌπΆ = Ξ±ππβ πΌπΆ + πΌπ΅ + πΌπΆπ΅π
β πΌπΆ = Ξ±πππΌπΆ + Ξ±πππΌπ΅ + πΌπΆπ΅π
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13. β πΌπΆ 1 β Ξ±ππ = Ξ±πππΌπ΅ + πΌπΆπ΅π
πΌπΆ =
Ξ±ππ
1β Ξ±ππ
*πΌπ΅ +
πΌπΆπ΅π
1β Ξ±ππ
πΌπΆ = Ξ²ππ*πΌπ΅ + πΌπΆπΈπ
Where, Ξ²ππ=
Ξ±ππ
1β Ξ±ππ
; Common emitter DC current gain
πΌπΆπΈπ: Collector to emitter reverse saturation current with Base open
Since Ξ±<1 always, πΌπΆπΈπ>> πΌπΆπ΅π
Still, πΌπΆπΈπ< πΌπΆ
πΌπΆ = Ξ²ππ*πΌπ΅ and Ξ²ππ=
πΌπΆ
πΌπ΅
Typically Ξ²ππ β 20 to 200
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14. BJT Configurations
BJT has three terminals
Accordingly three configurations exist
οCommon Base (CB) configuration
οCommon Emitter (CE) configuration
οCommon Collector (CC) configuration
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15. Q1. A BJT has Ξ±ππ= 0.998 and collector-base reverse saturation current of
1Β΅A. If emitter current is 5mA, what is the value of πΌπΆ and πΌπ΅?
πΌπΆ = Ξ±ππβπΌπΈ + πΌπΆπ΅π
βπΌπΆ = 4.991mA
πΌπΈ = πΌπΆ + πΌπ΅
β πΌπ΅= 9Β΅A
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16. Q2. In a BJT 99% of the carriers injected into base, cross over to the collector
region. If collector current is 4mA, collector-base reverse saturation current
is 6Β΅A, what is the value of πΌπΈ and πΌπ΅?
πΌπΆ = Ξ±ππβπΌπΈ + πΌπΆπ΅π
βπΌπΈ = 4.03mA
πΌπΈ = πΌπΆ + πΌπ΅
βπΌπ΅ = 34.34Β΅A
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17. Q3. An NPN transistor has collector current 4mA and base current 10 ΞΌA.
Calculate the alpha and beta values of the transistor, neglecting the reverse
saturation current ICBO. (Ans: 0.9975, 400)
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18. Q4. In a transistor circuit, when the base current is increased from 0.32 mA to
0.48 mA, the emitter current increases from 15 mA to 20 mA. Find Ξ±ac and
Ξ²ac values. (Ans: 0.968, 30.25)
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19. Exercise
Q5. Find πΌπΈ , Ξ±ππ , Ξ²ππ of a BJT when πΌπ΅=50Β΅A and πΌπΆ=5mA neglecting πΌπΆπ΅π
Q6. Find Ξ±ππ and πΌπΆ of a BJT when πΌπ΅=50Β΅A and Ξ²ππ=200
Q7. A BJT with Ξ²ππ=170 has emitter current of 12mA. Calculate approximate
collector current and base current
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20. Relation between Ξ± and Ξ²
πΌπΈ = πΌπΆ + πΌπ΅
πΌπΈ
πΌπΆ
=
πΌπΆ
πΌπΆ
+
πΌπ΅
πΌπΆ
1
Ξ±ππ
= 1+
1
Ξ²ππ
Ξ±ππ =
Ξ²ππ
1+Ξ²ππ
Ξ²ππ=
Ξ±ππ
1+Ξ±ππ
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c c
21. I/O Characteristics
Ξ± and Ξ² alone does not explain the characteristics of a BJT
Other traits can be obtained from curves that relate current and voltage.
These curves are called Characteristic Curves
In general,
Input characteristics:
Relation between input voltage and input current keeping output voltage
constant
Output characteristics:
Relation between output voltage and output current keeping input current
constant
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22. Common Base Configuration
Base terminal is common for both the loops
Input characteristics relate πΌπΈ and ππΈπ΅
For various values of ππΆπ΅
Output characteristics relate πΌπΆ and ππΆπ΅
For various values of πΌπΈ
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23. CB Configuration Input characteristics:
A plot of IE versus VEB
for various values of VCB.
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24. CB Configuration Output characteristics:
A plot of IC versus VCB
for various values of IE.
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25. 3 Regions operation
Saturation Region:
Located to the left of VCB =0.
CB junction is forward biased.
Small change in VCB results in large change
in IC
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26. Active Region:
Located to the right of VCB =0.
(unshaded area)
EB junction is forward biased.
CB junction is reverse biased.
IC is almost constant for given IE and nearly equal to IE
IC increases slightly with increase in VCB due to BASE WIDTH MODULATION
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28. Base Width Modulation
οAs the reverse bias voltage ππΆπ΅ is increased, width of CB junction increases
οPart of this depletion region lies in the base region
οEffective base width decreases
οHence, number of e-h pair combination also reduces
οBase current reduces and collector current increases
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29. Cutoff Region:
Located below the line corresponding to
IE =0
Both EB & CB junctions are reverse biased.
A small collector current IC = ICBO
flows even when VCB =0.
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30. Common Emitter Configuration
Emitter terminal is common for both the loops
Input is applied between EB terminals
Output is measured across CE junction
Input characteristics relate πΌπ΅ and ππ΅πΈ
For various values of ππΆπΈ
Output characteristics relate πΌπΆ and ππΆπ΅
For various values of πΌπ΅
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31. CE Configuration Input characteristics:
A plot of IB versus VBE
for various values of VCE.
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32. CE Configuration Output characteristics:
A plot of IC versus VCE
for various values of IB.
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