Energy Band Structure For
Energy Band Structure For
impurity atoms added. As, the pentavalent impurity with the In-atom which has
ber increases the number of free electrons, it is called donor got three valence electrons.
or impurity. The silicon crystal so obtained is termed as In an attempt to have 8 electrons in valence shell, the
silicon
n-type Si-crystal. The electrons so set free in the
crystal are called extrinsic carriers and the n-type
In-atom robs one of the nearby covalent bonds of one
ise
Si-crystal is called. n-type extrinsic semiconductor or
electron. Thus, the valence shell of the In-atom possesses
8 electrons but a hole is created in the covalent bond from
simply n-type semiconductor.
an
ion
As said earlier, due to thermal agitation, even the pure
which electron has been robbed. Thus, for every trivalent
his
impurity atoms added, na extra hole wil be screa ted. As
Si-crystal possesses a few electrons and holes. Therefore, from the
vas
n-type Si-crystal will have a large number of free electrons the trivalent impurity atoms accept electron
e.
(majority carriers) and a small number of holes (minority silicon crystal, it is called acceptor impurity. The
carriers) and as concentration of charge carriers increases Si-crystal so obtained is called p-type as it contains free
the conductivity of semiconductor increases. holes. Each hole si equivalent ot positive charge. The
In n-type semiconductor, holes so created are extrinsic carriers and the p-type
tre
the fifth electron of the As
Conduction Band Si-crystal so obtained is called p-type extrinsic
o n atom revolves around the 0.045 eV semiconductor.
Ire
donor atom inside the • Donor energy level Again, as the pure Si-crystal also possesses afew electrons
Si-crystal. As dielectric and holes, therefore, the p-type Si-crystal will have a large
number of holes (majority carriers) and asmall number of
Valence Band
re constant of silicon is very
he high, it is bound to the electrons (minority carriers).
be donor atom with a very small amount of energy, which is In the extrinsic p-type Conduction Band
of the order of 0.045 eV. In terms of valence and Si-crystal, the
hole
IS conduction band, one can think that ali such electrons produced revolves round 7. Acceptor energy evle
(extrinsic carriers) create a donor energy level just below the n u c l e u s o f t h e In-atom. 0.04Ve IS
ic conduction band is very small, the electrons can easily electron but having an
re raise themselves to conduction band even at room equal positive charge, it possesses asmall positive energy
?., ductivity of n-type extrinsic
temperature. Hence, the conincr of the order of 0.04 eV. Such holes create an acceptor
is semiconductor is markedly eased
energy level just above=( 0.04 V e ) the top of the valence
or
In a doped or extrinsic semiconductor, the number density band (figure]. The electron from valence band can raise
is of electrons ni the conduction band (n.) and hte number themselves to the acceptor energy level by absorbing
density of holes ni hte valence band (n,) differ from that in thermal energy at room temperature and in turn create
a pure semiconductor. If n is the number density of the holes in the valence band.
h
conduction band (n.) and the number density of holes ni The number density of holes (n,) in valence band ni a
г, the valence band (n) differ from that in a pure
semiconductor. If n is the number density of electrons in p-type semiconductor is approximately equal to that of
conduction band or the number density of holes in valence the acceptor atoms (Na) and si very large as compared to
band in a pure semiconductor, then it can be proved that the number density of electrons (ne) in conduction band
e
Thus,
again get neutralised on meeting the new holes coming may have a value of 1 to several hundred
bias, the
on from left. As a consequence, a relatively large current, It may be pointed out that during the reverse
led called forward current flows through the junction. The s battery developed
applied DC voltage aids the fictitioupote
of current in the external circuit is due to the electrons and is
across the junction. Due to this, the ntial drop across
the diffusion of
•is from negative terminal of battery to positive terminal the junction increases and as a result, of
٠V through the junction diode. holes and electrons across hte junction decreases. tI makes
ial A
s discussed above, during die forward bias, the applied the depletion layer thick and the junc tion diode offers
he C voltage opposes the fictitious battery developed
D high resistance during reverse bias. It may be noted that
across the p-n junction. Due to this, the potential drop the potential barrier opposes the forward current, while ti
ge across the junction decreases and as a result, the diffusion aids the reverse current.
cel of holes and electrons across the junction increases. It
of makes the depletion layer thin and as such, the junction Characteristics of a p-n Junction
al diode offers olw resistance during forward bias. Forward Bias Characteristic The forward bias
connections of a p-n junction are as shown ni Fig. .a)( The
2. Reverse Bias : positive pole of hte battery si connected ot the p-section
When a battery is connected to junction diode with and the negative pole ot the n-section. nI the beginning
gi p-section connected to negative pole and i-section when the applied forward bias si low, practically no
connected ot the positive pole, the junction diode si said to current flows through the junction diode. tIsi because, the
be reverse biased as shown in figure. potential barrier (which si about 3.0 Vni esac of eG p-n
=
-1*|- junction and 07. Vni case of Si p-n junction) opposes the
applied voltage.
Therefore, a small forward current flows, till hte applied
forward bias does not become greater than the potential
A fo the
barrier voltage. It si represented by portion O
graph between forward bias and the forward current F [gi.
(b)]. As soon sa the forward bias becomes greater than the
Reverse bias potential barrier, the forward current increases almost
linearly. The point A in the forward characteristic
Action of p-n Junction When the p-n junction is corresponding ot the potential barrier appears keil aknee
reverse biased, the holes (majority carriers) in the and the forward voltage corresponding ot knee point Asi
p-section get attracted towards the negative terminal of called knee voltage.
battery and therefore, the holes move away from the 6
junction. At the same time, the electrons (majority
( A)
current m
5
carriers) in the n-section get attracted towards the positive
terminal and move away from the junction. As a very
small number of holes and electrons (minority carriers) are
Forward
Inpul : O
put
CA DC
agvtol voltage
6
R
March 2013 12
Is
FuW
-l ave Recefitr: .C
If
A rectifier which rectifies both halves of the A
C input si
f(
called afull-wave rectifier. T
o make use of both the halves
of input cycle, two junction diodes are used.
The three sections of the transistor are called emitter (E),
Principle It also works on D,
base (B) and collector (C). The base of atransistor si made
]!
the principle that a junction Input thin and sa ti si comparatively lightly doped, eht
diode offers low resistance CA
concentration of majority carriers in the base si always
during forward bias and high voltage
lesser as compared to that in emitter or collector. The
resistance, when r e v e r s e emitter supplies majority carriers for current flow and the
D
,
biased. Here, two diodes are collector collects them. The base provides the junctions
connected in such a manner that fi one diode gets forward for proper interaction between the emitter and the
biased during first half cycle of AC input, the other gets collector.
reverse biased but when the next opposite half cycle
In the symbol for a transistor,
comes, the first diode gets reverse biased and the second the arrow points hole current
forward biased. Thus, outpat si obtained during both the i.e., conventional c u r r e n t .
half cycles of the AC input. Therefore, the emitter in
Arrangement The AC supply is fed across the primary n1- p - n transistor iS n-p-n D.n.p
coil P of a step-down transformer. The two ends of the represented by an arrow
(a ) (b)
secondary coilS of the transformer are connected to the pointing away from the base, while the emitter ni p-n-p
p-sections of the junction diodes D
, and D2. A load transistor is represented by an arrow pointing towards
resistance R, si connected across the n-sections of the two the base. The symbols for n-p-n and p-n-p transistors are
diodes and the central tapping of the secondary coil as
respectively shown ni Fig. (a) and Fig. (b).
shown in figure. The D
C output will be obtained across A transistor can operate in three regions, saturation
the load resistance RI region, active region and cut-off region.
Theory Suppose that during first half of the input cycle, →In saturaton region, both the junctions of the transistor
upper end of S coil is at positive potential and the lower are forward biased and resistance of the circuit is very olw
end is at negative potential. The junction diode D, will get while in cut-off region both the
junctions are reverse
forward biased, while the diode D, reverse biased. The biased and the transistors offer infinite resistance. While
conventional current due ot hte diode D, wil folw along → in active region, the emitter base junction is forward
the path of full arrows.
biased and collector base junction si reverse biased. In this
When the second half of the input cycle comes, the situation the transistor can be used to work as an
situation will be exactly reverse, Now, the junction diode amplifier. The transistor can be used as a switch or
D, will conduct and the conventional current will flow oscillator also fi it is made to switch its operation from
along hte path of hte dotted arrows. Since, current during cut-off to saturation region and vice-versa.
both hte half cycles flows from right ot left through hte As the transistor is a three terminals device, it would be
load resistance R,, the output during both the half cycles used ni the circuit in such a way that output is taken
will be of the same nature. The right end of the load
resistance R, will be at positive potential wrt the left end. across its two terminals. When input si applied across its
As discussed in case of half-wave rectifier, the magnitude
other two terminals making one terminal common.
Hence, transistor can be used in three configurations,
of output across R, at any time will vary ni accordance .1 Common emitter
with the AC input.
2. Common base
Tr a ns is t o r s : 3. Common collector
Among these common emitter is the most common one.
Ajunction diode cannot be used for amplifying a signal.
For amplification, another type of semiconductor device
A c t i o n of a T r a n s i s t o r
called transistor is used. It is fabricated by sandwitching a
n-type semiconductor between p-type The action of both type of transistors i.e., v-p-nand p-n-p si
semiconductors or It is a three-leg
vice-versa. similar, except that the majority and minority carriers ni
semiconductor device. A transistor can be n-p-n or p-n-p the two cases are of opposite nature. Here we are
type. discussing the action of a transistor by using n-p-n
t r a n s i s t o r.
Inan n-p-n transistor, the p-section is sandwitched
between two n-sections, while in a p-irp transistor, the Figure shows the proper biasing of ann-pentransistor. The
n-section is sandwitched between two p-sections. n-type emitter si forward biased by connecting ti to