What are the advantages and disadvantages of membrane structures.pptx
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Chap 2
1. 1
Chapter Two
Diode Characteristics
2.1. PN Junction
2.2. Diode Operations
2.3. PN Diode as a Rectifier
2.4. Zener Diode Characteristics
2.5. LED and Photo Diode
2.1 PN Junction
The region where the block of p- type material is joined to a block of n- type material is called a
PN junction and is a fundamental component of many electronic devices, including diode,
transistors and others. Remember that diffusion current flows whenever there is a surplus of
carriers in one region and a corresponding lack of carriers of the same kind in another region.
Consequently, at the instant the P and N blocks are joined, electrons from the N region diffuse into
the P region, and holes from the P region diffuse into the N region. (Recall that this hole current is
actually the repositioning of holes due to the motion of valence band electrons.)
For each electron that leaves the N region to cross the junction into the P region, a donor atom that
now has a net positive charge is left behind. Similarly, for each hole that leaves the P region (that
is, for each acceptor atom that captures an electron), an acceptor atom acquires a net negative
charge. The upshot of this process is that negatively charged donor atoms accumulate just inside
the p region, and positively charged donor atoms accumulate just inside the N region. This charge
distribution often called space charge.
Depletion region
Figure 2.1: The PN junction showing charged ions after hole and electron diffusion
Δ
P N
Hole
Electron
2. 2
It is well known that accumulation of electric charge of opposite polarities in two separated regions
cause an electric field to be established between those regions. The accumulation of positive ions
in N material and negative ions in the P material established an electric field across a PN junction.
The direction of field is from the positive N region to the negative P region. Figure 2.1 illustrates
the field Δ developed across a PN junction.
The accumulation of negative charge in the p region prevents additional negative charge from
entering that region (like charges repel each other) and, similarly, the positively charged N region
repels additional positive charge. Therefore, after the initial surge of charge across the junction,
the diffusion current dwindles (becoming gradually less) to a negligible amount.
The direction of electric field across the PN junction enables the flow of drift current from the P
to the N region, that is, the flow of electrons from left to right and of holes from right to left, in
figure 2.1. There is therefore a small drift of minority carriers in opposite direction from the
diffusion current. When equilibrium condition has been established, the small reverse drift current
exactly cancels the diffusion current from N to P. the net current across the junction is therefore
zero.
Remember that the P-region holes have been annihilated by electrons, and the N-region electrons
have migrated to the P side. Because all charge carriers have been depleted (removed) from this
region, it is called the depletion region. It is also called barrier region because the electric field
their acts as a barrier to further diffusion current.
The values of barrier potential, VO, depends on the doping levels in the P and N regions, the type
of material (Si and Ge), and the temperature.
VO =
πΎπ
π
ln
ππ΄ ππ·
ππ2 (2.1)
Where, VO = barrier potential,
K = Boltzmannβs constant = 1.38 Γ 10β23
J/0
k,
T = temperature of the material in Kelvin (0
k = 273 + 0
c),
q = electron charge = 1.6 Γ 10β19
c
NA = acceptor doping density in the P material,
ND = donor doping density in the N material
3. 3
ππ = intrinsic electron density.
VT =
KT
q
(2.2)
Where, VT = thermal voltage
2.1.1 Forward β biased junction
When an external dc source is connected across a PN junction, the polarity of the connection can
be such that it either opposes or reinforces the barrier. Suppose a voltage source VD is connected
as shown in figure-2.2, with its positive terminal attached to the P side of a PN junction and its
negative terminal attached to the N side. With polarity of connections shown in the figure 2.2, the
external source creates an electric field component across the junction whose direction opposes
the internal field established by the space charge.
In other words, the barrier is reduced, so diffusion current is enhanced. Therefore, current flows
with relative ease through the junction, its direction of flow is from P to N, as shown in figure 2.2.
In this case the junction is said to be forward biased.
h = hole; Δ = electron
Figure 2.2: Forward-biased p-n junction, Narrow depletion width
When the PN junction is forward biased, electrons are forced into the N region by the external
source and holes are forced into the P region. As free electrons move toward the junction through
the N material, a corresponding number of holes progresses through the P material. Thus, current
in each region is the result of majority carrier flow. Electrons diffuse through the depletion region
and recombine with holes in the P material. For each hole that recombines with an electron, an
electron from a covalent bond leaves the P region and enters the positive terminal of the external
source, thus maintaining the equality of current entering and leaving the source. Since there is a
reduction in the electric field barrier at the forward- biased junction, there is a corresponding
Δ
h Δ
4. 4
reduction in the quantity of ionized acceptor and donor atoms required to maintain the field. As a
result, the depletion region narrows under forward bias.
2.1.2 Reverse - biased junction
When the positive terminal of the source is connected to the N side of the junction and the negative
terminal is connected to the P side (shown in figure 2.3) the polarity of the bias voltage reinforces,
or strengthens, the internal barrier field at the junction. Consequently, diffusion current is inhibited
to an even greater extent than it was with no bias applied. The increased field intensity must be
supported by an increase in the number of ionized donor and acceptor atoms, so the depletion
regions widen under reverse bias.
Figure 2.3: Reverse - biased p-n junction, wide depletion region
Recall that, the unbiased PN junction has a component of drift current consisting of minority
carriers that cross the junction from the P to the N side. This reverse current is the direct result of
the electric field across the depletion region. Since a reverse β biasing voltage increases the
magnitude of that field, we can expect the reverse current to increases correspondingly. The current
magnitude is very much smaller than the current that flows under forward bias.
The distinction between the ways a PN junction reacts to a bias voltage, very little current flow
when it is reverse biased and substantial current flow when it is forward biased, makes it very
useful device in many circuit applications.
2.2 Diode operation
Diode is made up of a small piece of semiconductor material, usually silicon, in which half is
doped as a p region and half is doped as an n region with a pn junction and depletion region in
between. The p region is called the anode and is connected to a conductive terminal. The n region
5. 5
is called the cathode and is connected to a second conductive terminal. The basic diode structure
and schematic symbol are shown in Figure 2β4 given below.
Figure 2.4 schematic symbol of diode.
2.2.1 Characteristics of ideal & practical diode
Understanding the operation of the semiconductor diode is the basis for an understanding of all
semiconductor devices. It is the simplest of semiconductor devices but plays a very vital role in
electronic systems, having characteristics that closely match those of a simple switch. The term
ideal refers to any device or system that has ideal characteristics perfect in every way. The ideal
diode is a two-terminal device having the symbol and characteristics shown in figure 2.5, a and b
respectively. The characteristics of an ideal diode are those of a switch that can conduct current in
only one direction.
Figure 2.5 Conduction (a) and non-conduction (b) state of Ideal diode
The P side of the diode is called its anode and the N side is called its cathode.
ID = IS (π
ππ·
πππ β 1) (2.3)
ID = current; VD = voltage (positive for forward bias and negative for reverse bias).
IS = saturation current; Ξ· = emission coefficient; VT = thermal voltage.
6. 6
Figure 2.6: I-V relations in a PN junction under forward and reverse bias
1) A silicon diode has a reverse saturation current of 7.12nA at room temperature of 27oc.
Calculate its forward current if it is forward biased with a voltage of 0.7v.
Solution: The given values are
Is = 7.2nA, K=1.38*10e-23 J/K, Q = 1.6*10-19 C
V = + 0.7 v as forward biased.
π = 2 for silicon diode
T = 270
πΆ = 27 + 273 = 3000
πΎ
Now VT = KT/q = 8.62 x 10-5 x 300 = 0.026 v
Using diode current equation,
I = 4.99 x 10-3A = 5mA. Thus, the forward current is 5mA.
I) The Ideal Diode Model
The ideal model of a diode is the least accurate approximation and can be represented by a simple
switch as shown in the figure 2.7 below.
Figure 2.7 V-I characteristics of ideals diodes
7. 7
When the diode is forward-biased, it ideally acts like a closed (on) switch, as shown in Figure 2.7
(a). When the diode is reverse-biased, it ideally acts like an open (off) switch, as shown in part (b).
In Figure 2.7 (c), the ideal V-I characteristic curve graphically depicts the ideal diode operation.
II) The Practical Diode Model
The practical model includes the barrier potential. When the diode is forward-biased, it is
equivalent to a closed switch in series with a small equivalent voltage source (VF) equal to the
barrier potential (0.7 V) with the positive side toward the anode, as indicated in Figure 2.8 (a).
This equivalent voltage source represents the barrier potential that must be exceeded by the bias
voltage before the diode will conduct and is not an active source of voltage. When conducting, a
voltage drop of 0.7 V appears across the diode. When the diode is reverse-biased, it is equivalent
to an open switch just as in the ideal model, as shown in Figure 2.8 (b). The barrier potential does
not affect reverse bias, so it is not a factor. The characteristic curve for the practical diode model
is shown in Figure 2.8 (c).
Figure 2.8 V-I characteristics of practical diodes
2.2.2 Breakdown
The reverse current also deviates from that predicted by the ideal diode equation if the reverse
biasing voltage is allowed to approach a certain value called the reverse break down voltage, VBR.
A very small increase in reverse bias voltage in the vicinity of VBR results in a very large increase
in reverse current. In other word the diode no longer exhibits its normal characteristics of
maintaining a very small, essentially constant reverse current with increasing reverse voltage.
8. 8
Figure 2.9: a plot of the I-V relation for diode, showing the sudden increase in reverse current
near the reverse break down voltage.
In ordinary diodes, the breakdown phenomenon occurs because the high electric field in the
depletion region impart high kinetic energy (large velocities) to the carriers crossing the region,
and when these carriers collide with other atoms, they rupture covalent bonds.
The large numbers of carriers that are freed in this way accounts for the increase in reverse current
through the junction. The process is called avalanching. The magnitude of the reverse current that
flows when V approaches VBR can be predicted from the relation:
I =
IS
1β[
π
ππ΅π
]π
(2.4)
Where n is a constant determined by experiment and has a value between 2 and 6.
The value of the breakdown voltage depends on doping and other physical characteristics that are
controlled in manufacturing. Ordinary diodes may have breakdown voltage ranging from 10 or 20
to hundreds of volts.
2.3 Diode as a Rectifier
Almost all electronics circuits require a dc source of power. For portable low power systems
batteries may be used. More frequently electronic equipment is energized by a power supply, a
piece of equipment which converts the alternating waveform from the power lines into an essential
direct voltage. A device, such as the semiconductor diode, which is capable of converting a
sinusoidal input waveform (whose average value is zero) into a unidirectional waveform, with a
nonzero average component, is called a rectifier. The process of converting AC to DC waveform
is called rectifications. There are two types of rectifications process:
2.3.1 Half-wave rectification
In half-wave rectification either the positive or negative half of the ac wave is passed, while the
other half is blocked. The basic circuit for half β wave rectification is shown in figure 2.10.
9. 9
Figure 2.10: Half-wave rectifier
Over one full cycle, defined by the period T of figure 2.10, the average value (the algebraic sum
of the areas above and below the axis) of vi is zero.
During the interval t = 0 β T/2 in figure 2.10 the polarity of the applied voltage vi is such as to
establish βpressureβ in the direction indicated and turn on the diode with the polarity appearing
above the diode. Substituting the short-circuit equivalence for the ideal diode will result in the
equivalent circuit of figure 2.11, where it is fairly obvious that the output signal is an exact replica
of the applied signal. The two terminals defining the output voltage are connected directly to the
applied signal via the short-circuit equivalence of the diode.
Figure 2.11: Conduction region (0β T/2)
For the period T/2 β T, the polarity of the input vi is as shown in figure 2.12 and the resulting
polarity across the ideal diode produces an βoffβ state with an open-circuit equivalent. The result
is the absence of a path for charge to flow and vo = iR = (0) *R = 0 V for the period T/2 β T. The
input vi and the output vo were sketched together in figure 2.13 for comparison purposes.
10. 10
Figure 2.12: Non-conduction region
The output signal vo now has a net positive area above the axis over a full period and an average
value determined by:
Vdc = 0.318π
π (2.5)
Figure 2.13: Half-wave rectified signal
Note that the net effect of half β wave circuit is the conversion of an ac voltage into a (pulsating)
dc voltage.
The effect of using a silicon diode with VT = 0.7 V is demonstrated in figure 2.14 for the forward-
bias region. The applied signal must now be at least 0.7 V before the diode can turn βon.β For
levels of vi less than 0.7 V, the diode is still in an open-circuit state and vo = 0 V as shown in the
same figure. When conducting, the difference between vo and vi is a fixed level of VT = 0.7 V and
vo = vi β VT, as shown in the figure 2.14. The net effect is a reduction in area above the axis, which
naturally reduces the resulting dc voltage level.
Figure 2.14: Effect of VT on Half-wave rectified signal
11. 11
For situations where Vm β« VT, the average value is determined by Eq.2.6.
πππ β 0.318(π
π β ππ ) (2.6)
The peak inverse voltage (PIV) [or PRV (peak reverse voltage)] rating of the diode is the voltage
rating that must not be exceeded in the reverse-bias region or the diode will enter the Zener
avalanche region. The required PIV rating for the half-wave rectifier can be determined in Eq.2.7.
ππΌππππ‘πππ β₯ π
π (2.7)
2.3.2 Full - wave rectification
A full β wave rectifier effectively inverts the negative half β pulses of a sine wave to produce an
output that is a sequence of positive half β pulses with no intervals between them. It is more
efficient than the half β wave rectifier.
The dc level (average value) obtained from a sinusoidal input can be improved 100% using a
process called full β wave rectification.
Bridge network: it is the most familiar network for performing a full β wave rectification. It is
shown in figure 2.15 with its four diodes in a bridge configuration.
Figure 2.15: Full β wave bridge rectifier
During the period t = 0 to T/2 the polarity of the input is as shown in figure 2.16a. The resulting
polarities across the ideal diodes are also shown in figure 2.16a to reveal that D2 and D3 are
conducting while D1 and D4 are in the βoffβ state. The net result is the configuration of figure
2.16b, with its indicated current and polarity across R. Since the diodes are ideal the load voltage
is vo = vi, as shown in the same figure.
12. 12
Figure 2.16: (a) Network of figure 2.15 for the period 0 βT/2 of the input voltage vi. (b)
Conduction path for the positive region of vi
For the negative region of the input the conducting diodes are D1 and D4, resulting in the
configuration of figure 2.17. The important result is that the polarity across the load resistor R is
the same as in figure 2.16a, establishing a second positive pulse, as shown in figure 2.17.
Figure 2.17: Conduction path for the negative region of vi
Over one full cycle the input and output voltages will appear as shown in figure 2.18. Since the
area above the axis for one full cycle is now twice that obtained for a half-wave system, the dc
level has also been doubled.
πππ = 0.636π
π (2.8)
Figure 2.18: input and output waveform for a full-wave rectifier
If silicon rather than ideal diodes is employed as shown in figure 2.19, an application of
Kirchhoffβs voltage law around the conduction path would result in
π£π β ππ β π£π β ππ = 0
13. 13
π£π = π£π β 2ππ
The peak value of the output voltage vo is therefore
π
ππππ₯
= π
π β 2ππ
For situation where Vmβ« 2VT the average value is determined by Eq.2.9
πππ β 0.636 (π
π β2ππ) (2.9)
Figure 2.19: Determining π
ππππ₯
for silicon diodes in the bridge configuration
ππΌπ
ππ’ππβπ€ππ£π ππππππ ππππ‘πππππ β₯ π
π (2.10)
2.4 Zener diode
Zener diode is a reverse-biased heavily doped p-n junction diode which is operated in the
breakdown region. The symbol of a Zener diode is shown in figure 2.20a. It is like an ordinary p-
n junction diode except that it is properly doped so as to have a sharp breakdown voltage. When
forward biased, its characteristics are similar to that of an ordinary diode. It is always reverse
biased and has sharp breakdown voltage, called the Zener voltage. By controlling the junction
width and doping densities of diode it is possible to make it to breakdown at a sharp specified
Zener voltage from about 2 to 200 V. A Zener diode is specified by its breakdown voltage and the
maximum power dissipation.
Figure 2.20: (a) Zener diode, (b) the normal operation region of Zener diode is shaded
14. 14
The most common application of a Zener diode is the voltage stabilization. The Zener diode in
breakdown maintains an almost constant voltage across itself over a wide current range. The
complete equivalent circuit of the Zener diode in the Zener region includes a small dynamic
resistance and dc battery equal to the Zener potential, as shown in figure 2.21.
For all applications to follow, however, we shall assume as a first approximation that the external
resistors are much larger in magnitude than the Zener-equivalent resistor and that the equivalent
circuit is simply the one indicated in figure 2.21b.
Figure 2.21: Zener equivalent circuit (a) complete (b) approximate
Zener diodes are most frequently used in regulator networks or as a reference voltage.
2.5 LED, LCD and Photo Diode
2.5.1 Light - Emitting Diodes
The increasing use of digital displays in calculators, watches, and all forms of instrumentation has
contributed to the current extensive interest in structures that will emit light when properly biased.
The two types in common use today to perform this function are the light-emitting diode (LED)
and the liquid-crystal display (LCD). As the name implies, the light-emitting diode (LED) is a
diode that will give off visible light when it is energized. In any forward-biased p-n junction there
is, within the structure and primarily close to the junction, a recombination of holes and electrons.
This recombination requires that the energy possessed by the unbound free electron be transferred
to another state.
In all semiconductor p-n junctions some of this energy will be given off as heat and some in the
form of photons. In silicon and germanium, the greater percentage is given up in the form of heat
and the emitted light is insignificant. In other materials, such as gallium arsenide phosphide
(GaAsP) or gallium phosphide (GaP), the number of photons of light energy emitted is sufficient
15. 15
to create a very visible light source. The process of giving off light by applying an electrical source
of energy is called electroluminescence.
As shown in figure below with its graphic symbol, the conducting surface connected to the p-
material is much smaller, to permit the emergence of the maximum number of photons of light
energy. Note in the figure that the recombination of the injected carriers due to the forward-biased
junction results in emitted light at the site of recombination. There may, of course, be some
absorption of the packages of photon energy in the structure itself, but a very large percentage are
able to leave, as shown in figure.
Figure 2.22: (a) Process of electroluminescence in the LED; (b) graphic symbol
2.5.2 Photodiodes
While LEDs emit light, Photodiodes are sensitive to received light. They are constructed so their
p-n junction can be exposed to the outside through a clear window or lens. In Photoconductive
mode the saturation current increases in proportion to the intensity of the received light. This type
of diode is used in CD players. In Photovoltaic mode, when the p-n junction is exposed to a certain
wavelength of light, the diode generates voltage and can be used as an energy source. This type of
diode is used in the production of solar power.
Figure 2.23: Schematic symbols for photodiodes