P-N Diodes
(Sunday, May 9, 2010)
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Diode :
A pure silicon crystal or germanium crystal is known as an intrinsic semiconductor. For most application, there are not
free electrons and holes in an intrinsic semi-conductor to produce an usable current. The electrical action of these
modified by doping means adding impurity atoms to a crystal to increase either the number of free holes or no
electrons. When a crystal has been doped, it is called a extrinsic semi-conductor. They are of two types n-type semico
having free electrons as majority carriers, p-type semiconductor having free holes as majority carriers. By themselves
doped materials are of little use. However, if a junction is made by joining p-type semiconductor to n-type semicond
device is produced which is extremely used known as diode. It will allow current to flow through it only in one directio
unidirectional properties of a diode allow current flow when forward biased and disallow current flow when reversed
This is called rectification process and therefore it is called rectifier.
The question now exists how is it possible that by properly joining two semi-conductors each of which, by itself, wi
conduct the current in any direct refuses to allow conduction in one direction.
Consider first the condition of p-type and n-type germanium just prior to joining fig1 . The majority and minority carriers
constant motion.
Fig.1
The minority carriers are thermally produced and they exist only for short time after which they recombine and neutraliz
other. In the mean time, other minority carriers have been produced and this process goes on and on. The number o
electron hole pair that exist at any one time depends upon the temperature. The number of majority carriers is howeve
depending on the number of impurity atoms available. While the electrons and holes are in motion but the atoms are
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place and do not move.
As soon as, the junction is formed, the following processes are initiated: Fig2:
• Holes from the p-side diffuse into n-side where they recombine with free electrons.
• Free electrons from n-side diffuse into p-side where they recombine with free holes. The diffusion of el
and holes is due to the fact that large no of electrons are concentrated in one area and large no o
are concentrated in another area.
•
When these electrons and holes begin to diffuse across the junction then they collide each other and negative charg
in the electrons cancels the positive charge of the hole and both will lose their charges.
The diffusion of holes and electrons is an electric current referred to as a recombination current. The recomb
process decay exponentially with both time and distance from the junction. Thus most of the recombination
just after the junction is made and very near to junction. A measure of the rate of recombination is the
defined as the time required for the density of carriers to decrease to 37% ot the original concentration.
l
The impurity atoms are of course, fixed in their individual places. The atoms itself is a part of the crystal and so can no
When the electrons and hole meet, their individual charge is cancelled and this leaves the originating impurity atoms
net charge, the atom that produced the electron now lack an electronic and so becomes charged positively, wher
atoms that produced the hole now lacks a positive charge and becomes negative. The electrically charged atoms are
ions since they are no longer neutral. These ions produce an electric field as shown. After several collision occurs, the
field is great enough to repel rest of the majority carriers away of the junction. For example, an electron trying to diffuse
to p side is repelled by the negative charge of the p-side. Thus diffusion process does not continue indefinitely but co
as long as the field is developed. The net result of this field is that it has produced a region, immediately surround
junction that has no majority carriers. The majority carriers have been repelled away from the junction and junction is d
from carriers. The junction is known as the barrier region or depletion region fig3. The electric field represents a p
difference across the junction also called space charge potential or barrier potential. This potential is 0.7v for S
degree celcious and 0.3v for Ge.
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The physical width of the depletion region depends on the doping level. If very heavy doping is used, the depletion re
physically thin because diffusion charge need not travel far across the junction before recombination takes place (s
time). If doping is light, then depletion is more wide (long life time)
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Reverse Bias :
When the diode is reverse biased then the depletion region width increases, majority carriers move away from the j
and there is no flow if current due to majority carriers but there are thermally produced electron hole pair also.
electrons and holes are generated in the vicinity of junction then there is a flow of current. The negative voltage applie
diode will tend to attract the holes thus generated and repel the electrons. At the same time, the positive voltage will att
electrons towards the battery and repel the holes. The electron in the p-material and hole in the n-material are being fo
move forward each other and will probably combine. This will cause current to flow in entire circuit. This current is usua
small (interms of micro ampher to nano amphere). Since this current is due to minority carriers and these number of m
carriers are fixed at a given temperature therefore, the current is almost constant known as reverse saturation curren
actual diode, the current is not almost constant but increases slightly with voltage. This is due to surface leakage curre
surface of diode follows ohmic law (V=IR). The resistance under reverse bias condition is very high 100k to mega
When the reverse voltage is increased, they and certain value, then breakdown to diode takes place and it conducts
This is due to avalanche or zener breakdown. Fig4
Fig.4
Forward bias :
When the diode is forward bias, then majority carriers are pushed towards junction, when they collide and recombinatio
place. Number of majority carriers are fixed in semi-conductor. Therefore as each electron is eliminated at the junction
electron must be introduced, this comes from battery. At the same time, one hole must be created in p-layer. This is for
extracting one electron from p-layer. Therefore, there is a flow of carriers and thus flow of current.
Space Charge Capacitance on Transition Capacitive CT :
Reverse bias causes majority carriers to move away from the junction, thereby creating more ions. Hence the thick
depletion region increases. This region behaves as the dielectric material used for making capacitors. The p-type and
conducting on each side of dielectric act as the plate. The incremental capacitance CT is defined by
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Where, dQ is the increase in charge caused by a change dv in voltage.
i = dQ / dt
i = CT dv / dt
CT is not constant, it depends upon applied voltage, therefore it is defined as dQ/dV. When p-n junction is forward
then also a capacitance is defined called diffusion capacitance CD (rate of change of injected charge with voltage) to ta
account the time delay in moving the charges across the junction by the diffusion process. Therefore, it cannot be iden
terms of a dielectric and plates as space charge capacitance. It must be considered as a fictitious element that allo
predict time delay. If the amount of charge to be moved across the junction is increased, the time delay is greater, it
that diffusion capacitance varies directly with the magnitude of forward current.
Real Diode: Small Signal Operation: (Load Line)
Consider the diode circuit shown in Fig.5
This equation involves two unknown and can not be solved. The other equation interms of these two variables, is given
static characteristic. The straight line represented by this above equation is known as the load line. The load lin
through two points, I = 0 , VD = V and VD = 0, I = V / R L. The slope of this line is equal to 1/ RL. The point of inter-se
straight line and diode characteristic gives the operating point. Fig.6
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Fig.6
Say V=1V, RL=10ohm. (Fig7).
Fig.7
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Therefore, as the diode voltage varies, diode current also varies, sinusoidally (Fig 8).
Fig.8
In certain applications only a.c. equivalent circuit is required. Since only a.c. response of the circuit is considered d.c.
is not shown (Fig 9). The resistance r f represents the dynamic resistance or a.c. resistance of the diode .It is obta
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taking the ratio of at operating point.
Fig. 9
Dynamic Resistance
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Diode Approximation : (Large signal operations):
1.
Ideal Diode: When forward biased, resistance offered is zero,
When reverse biased resistance offered is infinity. It acts as a perfect switch .Fig10
2.
Second Approximation:
when forward voltage is more than 0.7 V, for Si then it conducts and offers zero
resistance. Fig 11.
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3.
bulk
3rd Approximation:
when forward voltage is more than 0.7 v, then it conduct and offer
resistance Rf (slope of the current) fig.12
VD = 0.7 + ID Rf.
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When reverse biased resistance offered is very high. (and not infinity). Then the diode
equivalent circuit is as shown in fig13.
Problem:
Calculate the voltage output for following inputs
(a) V1=V2=0.
(b) V1=V, V2=0.
(c) V=V2=V knew voltage =Vr? .
Forward resistance is Rf.
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Solution:
(a). Vo = 0.
(b). V1 = V, V2 = V.
(c) V1 = V 2 = V.
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Applications
Half wave Rectifier (fig.17)
Fig.17
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In positive half cycle, D is forward biased (ideal) and output voltage is same the input voltage. In the negative
half cycle, D is reverse biased, and output voltage is zero.
When the diode is reverse biased, entire transformer voltage appears across the diode. The maximum voltage
across the diode is Vm. The diode must be capable to withstand this voltage. Therefore PIV rating of diode
should be equal to Vm in case of single phase ? halfwave rectifiers. The avg-current rating must be greater than
Iavg
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Full Wave Rectifier: (fig.18)
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fig. 18
Center tap transformer. It is more efficient and supplies current in both half cycles.
z In the first half cycle D1is forward biased and conducts. D2 is reverse biased .
z In the second half cycle D2 is forward biased, and conducts.
When D1 conducts, then full secondary voltage appears across D2, therefore PIV rating of the diode
should be 2 Vm.
Bridge Rectifier : Fig 19
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Clippers: Fig.20
Clipping circuits are used to select thatpart of the input wave which lies above or below some reference level.
Fig.20
In this clipper circuit
Vo = Vi if Vi
Vo = V R if Vi>VR
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In this clipper circuit
Vo = Vi
Vo = VR
if Vi>VR
if Vi
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considering third approximation
Now,
Vo = Vi
if Vi<(V R+V r)
When Vi>(V R+Vr) diode D conducts and the equivalent circuit becomes
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y=mx+c
The current i in the circuit is given by
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When Vi < (VR-Vr), D condcuts and the equivalent circuit becomes
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Therefore
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Clipping at two independent levels
VR1 < VR2
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Problem:
Draw the transfer characteristic of the circuit shown in fig.43
When diode D1 is off, i1 = 0, D2 must be ON
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Clamper Circuits:
Claming is a process of introducing d.c. level into a signal . Example. If the input voltage swings from -10 V and
+10 V a positive d.c. clamper will produce the output that swings ideally from 0 V to + 20 V. The complete
waveform is lifted up by +10 V so as to just touch the horizontal axis.
Negative Diode clamper: Fig25
During first positive half cycle as Vi rises from 0 to 10 V, the diode conducts. Assuming an ideal diode, its
voltage, which is also the output must be zero during the time from 0 to t1. Howver, the capacitor charges
during this period to 10 V. With the polarity shown. At the same time (t1). Vi starts to drop which means the
anode of D is negative relative to cathode, (VD = Vi - Vc) thus reverse biasing the diode and preventing the
capacitor from discharging. fig 26 . Since the capacitor is holding its charge it behaves as a D.C. voltage
source while the diode appears as an open circuit the equivalent circuit becomes like as shown in fig .27
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Fig. 26
Fig. 27
Positive Clamper: Fig.28
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Thus circuit behaves as if a 10 V dc. Source had been placed in series with ac. generate, this shift every voltage by -10 V.
To clamp the input signal other than 0 V, d.c. source is required. Fig. 30. The d.c. source is reverse biasing the
diode. In the negative half cycle when the voltage exceed 5V then D conduct. During -5 V to 10 V, the capacitor
charges to 5 V with the polarity shown. After that D becomes reverse biased. ( VD = V i - 5 V - 5 V ), and open
circuited. Then complete a.c. signal is shifted upward by 5 V.
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Fig. 30
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Voltage Doubler : Fig.32
Circuit is shown in. At the peak of the negative half cycle D1 is forward based, and D2 is reverse based. This
charges C1 to the peak voltage Vp with the polarity shown. At the peak of the positive half cycle D1 is reverse
biased and D2 is forward biased. Because the source and C 1 are in series, C2 will change toward 2 VP. e.g.
Capacitor voltage increases continuously and finally becomes 20V.
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fig. 32
During 0 to t1 negative D1contacts
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During t1 to t2, D2 becomes forward biased and conducts and at t2, Vi = 10V total voltage si 20V C1 = C2 = C
i.e both the capacitor charge to +10 V i.e. C1 voltage becomes 0.
t2 to t3 no conduction.
During t3 to t4 D1 contacts
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During t4 to t5 no conduction
During t5 to t6 D2 contacts
During t6 to t7 no conduction
During t7 to t8 D1 contacts
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During t8 to t9 no conduction
During t9 to t10 D2 contacts
and so on.
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Zener diode
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Zener Diode : Fig35
The diodes designed to work in breakdown region are called zener diode. The power handling capacity of these
diodes is better. The power dissipation of a zener diode equals the product of its voltage and current. PZ =VZ
IZ . When zener is forward biased it works as a diode and drop across it is 0.7V when it works in breakdown
region the voltage across it is constant Vz and the current through it is decided by external resistance. Zener
diode is used for regulating the the dc voltage. It maintains the output voltage constant even through the current
through changes.
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fig. 35
To operate the zener in Breakdown region Vs should always be greater then Vz. Rs is used to limit the current.
If the Vs voltage changes operating point also changes simultaneously but voltage across zener is almost
constant. Fig. 37 The first approximation zener diode is a voltage source of Vz magnitude and second
approximation includes the resistance also.
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(Fig.38) The resistance produces more I*R drop as the current increases.
The voltage at Q1 is
V1 = R z +Vz
At Q 2 = I 2 +R 2 +Vz
Change in voltage is
If zener is used to regulate the voltage across a load resistance. The zener is will work in the breakdown region
only if the thevenin voltage across zener is more than V Z
.
If zener is operating in breakdown region, the series current will be given by
Zener Drop Output point :
For a zener regulator to hold the output voltage constant, zener diode must remain in the breakdown region
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under all operating conditions, i.e. there must be zener current for all source voltage load currents. The worst
case occurs for minimum source voltage and maximum load current.
The critical point occurs when maximum load current equals minimum series current
When the zener diode operates in breakdown region, the voltage Vz across it remains fairly constant even
though the current Iz through it vary considerably. If the load IL should increase, the current Iz should decrease
by the same percentage in order to maintain load current constant Is. This keeps the voltage drop across Rs
constant and hence the output voltage. If the input voltage should increase, the zener diode passes a larger
current, that extra voltage is dropped across the resistance Rs. If input voltage falls, the current Iz falls such
that Vz is constant.
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Light Emitting Diode :
In a forward biased diode free electrons cross the junction and
enter into p-layer where they recombine with holes. Each
recombination radiates energy as electron falls from higher energy
level to a lower energy level. Fig39. In ordinary diodes this energy
is in the form of heat. In light emitting diode, this energy is in the
form of light. Ordinary diodes are made of Ge or Si this material
block the passage of light. LEDs are made of different materials
such as gallium, arsenic and phosphorus. LEDs can radiate red,
green, yellow, blueorange or infrared (invisible).
Typical LED current is between 10 mA to 50 mA
Seven Segment Display :
It contains seven rectangular LEDs. Each LED is called a Segment. External resistors are used to limit the
currents to safe Values. It can display any letters A, B, C, D, E, F, I, H, L, P, U. Fig40.a
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The seven segment display are of two types common anode and common cathode. Fig.40.b
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Photo diode :
When a diode is reversed biased, a reverse current flows due to minority carriers. These carriers exist because
thermal energy keeps on producing free electrons and holes. The lifetime of the minority carriers is short, but
while they exist they can contribute to the reverse current. When light energy bombards a pn junction, it too can
produce free electrons. Fig 41
In other words, the amount of light striking the junction can control the reverse current in a diode. A photo diode
is made on the same principle. It is sensitive to the light. In this diode, through a window light falls to the
junction. The stronger the light, the greater the minority carriers and larger the reverse current.
Opto Coupler:
It combines a LED and a photo diode in a single package. LED radiates the light depending on the current
through LED. This light fallls on photo diode and this sets up a reverse current. The advantage of an opto
coupler is the electrical isolation between the input and output circuits. The only contact between the input and
output is a beam of light. Because of this, it is possible to have an insulation resistance between the two circuits
of the order of thousands of mega ohms. They can be used to isolate two circuits of different voltage levels.
Fig42.
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