energy harvesting through sound
TRANSCRIPT
Energy Harvesting Through Sound For Nano-devices
1.INTRODUCTION
Energy harvesting[1] (also known as power harvesting or energy scavenging) is the
process by which energy is derived from external sources (e.g., solar power, thermal
energy, wind energy, salinity gradients , and kinetic energy), captured, and stored for
small, wireless autonomous devices, like those used in wearable electronics and wireless
sensor networks.
Energy harvesters provide a very small amount of power for low-energy electronics.
While the input fuel to some large-scale generation costs money (oil, coal, etc.), the
energy source for energy harvesters is present as ambient background and is free.
In the search for alternating energy sources there is one form of energy we don’t hear
much about, which is ironic because I am referring to sound energy[2]. Sound energy is the
energy produced by sound vibrations as they travel through a specific medium. Speakers
use electricity to generate sound waves and here we use zinc oxide to do the reverse –
convert sound waves into electricity. The sound power can be used for various novel
applications including mobile phones that can be charged during conversations and
sound-insulating walls near highways that generate electricity from sound of passing
vehicles
Fig. 1 shows the most desirable thing that everyone has been waiting for is “Yell at your
cell phone to charge”. Just imagine what an argument could the phrase “Keep it quite,
your battery will explode..” make.
Fig. 1. A lady yelling at cellphone.
Dept of ECE, CEC 2011-12 Page | 1
Energy Harvesting Through Sound For Nano-devices
1.1. Piezoelectricity
Piezoelectricity[3] is the charge that accumulates in certain solid materials
(notably crystals, certain ceramics, and biological matter such as bone, DNA and
various proteins) in response to applied mechanical stress. The
word piezoelectricity means electricity resulting from pressure. It is derived from
the Greek piezo or piezein , which means to squeeze or press, and electric orelectron ,
which stands for amber, an ancient source of electric charge. Piezoelectricity is the direct
result of the piezoelectric effect.
The piezoelectric effect is understood as the linear electromechanical interaction between
the mechanical and the electrical state in crystalline materials with no inversion
symmetry. The piezoelectric effect is a reversible process in that materials exhibiting the
direct piezoelectric effect (the internal generation of electrical charge resulting from an
applied mechanical force) also exhibit the reverse piezoelectric effect (the internal
generation of a mechanical strain resulting from an applied electrical field).
Piezoelectricity is found in useful applications such as the production and detection of
sound, generation of high voltages, electronic frequency generation, microbalances, and
ultrafine focusing of optical assemblies. Figures below shows a typical phenomenona of
Piezoelectricity.
Fig. 1.1 a. Fig. 1.1 b. Fig. 1.1 c.
No compression Small compression High compression
Dept of ECE, CEC 2011-12 Page | 2
Energy Harvesting Through Sound For Nano-devices
1.2. Motivation
The history of energy harvesting dates back to the windmill and the waterwheel[1]. People
have searched for ways to store the energy from heat and vibrations for many decades.
One driving force behind the search for new energy harvesting devices is the desire to
power sensor networks and mobile devices without batteries. Energy harvesting is also
motivated by a desire to address the issue of climate change and global warming. The
sound that always exists in our everyday life and environments has been overlooked as a
source[4]. This motivated us to realise power generation by turning sound energy from
speech, music or noise into electrical power.
There has been a lot of interest in making nanodevices, but we have tended not to think
about how to power them. This nanogenerator allows us to harvest or recycle energy from
many sources yo power these nanodevices.
1.3. Nanogenerator
This sound-driven nanogenerator is based on piezoelecrtic ZnO nanowires[5]. This
nanogenerator is integrated with piezoelectric ZnO nanowires and a cross-sectional field-
emission scanning electron microscopy image of vertically well-aligned ZnO nanowire
arrays (acting as a piezoelectric active layer), respectively. The average length and
diameter of ZnO nanowires were ~10 um and ~150 nm, respectively. This nanogenerator
has the capability to generate 50 millivolts from sound with 100 decibles strenght or
about the noise from heavy street traffic.
Fig. 1.3 shows a typical schematic diagram of an integrated nanogenerator.
Fig. 1.3 Sound-driven nanogenerator with piezoelectric ZnO nanowires.
Dept of ECE, CEC 2011-12 Page | 3
Energy Harvesting Through Sound For Nano-devices
1.4. Sapphire
Sapphire[6] is a gemstone variety of the mineral corundum, an aluminium oxide (α-
Al2O3). Trace amounts of other elements such as iron,titanium, or chromium can give
corundum blue, yellow, pink, purple, orange, or greenish color. Chromium impurities in
corundum yield a red tint, and the resultant gemstone is called a ruby.
Sapphires are commonly worn in jewelry. Sapphires can be found naturally, by searching
through certain sediments (due to their resistance to being eroded compared to softer
stones), or rock formations, or they can be manufactured for industrial or decorative
purposes in large crystal boules.
Because of the remarkable hardness of sapphires (and of aluminum oxide in general),
sapphires are used in some non-ornamental applications,
including infrared opticalcomponents, such as in scientific instruments; high-
durability windows (also used in scientific instruments); wristwatch crystals and
movement bearings; and very thin electronic wafers, which are used as
the insulating substrates of very special-purpose solid-state electronics (most of which
are integrated circuits).
2. APPROACHES AND DEVELOPMENT PROCESS
As there are a vast array of contending methods for harvesting energy, our aim is to
harvest the energy from sound. And the idea is actually pretty simple, atleast on the
paper[7]. When the sound waves hit an absorbing pad, they make the pad vibrate, and this
is translated to tiny zinc oxide nanowires that are placed between two electrodes.
The back and forth movement creates electricity, which in turn can be used for charging
or supply for nanodevices, body implants.
Dept of ECE, CEC 2011-12 Page | 4
Energy Harvesting Through Sound For Nano-devices
2.1. Approach to Development
Figure 2.1 a and 2.1 b show a schematic diagram of an integrated nanogenerator with
piezoelectric ZnO nanowires and a cross-sectional field-emission scanning electron
microscopy (FE-SEM) image of vertically well-aligned ZnO nanowire arrays (acting as a
piezoelectric active layer), respectively. Figure 2.2 shows the step by step process of
development of nanogenerator. The nanowire were grown using a thermal chemical vapor
deposition (CVD) system via a vapor-liquid-solid mechanism on an n-type GaN thin film
(acting as a bottom electrode) deposited sapphire substrate[8].
Fig. 2.1 a. Schematic diagram of Fig 2.1 b. FE-SEM image of ZnO
an integrated naogerator nanowire arrays on
a GaN/Sapphire substrate
A palladium gold (PdAu) coated polethersulfone (PES) substarte were used as both a top
and a vibration plate and placed above the ZnO naowire arrays. The integrated device was
then scaled at the edges to prevent physical and chemical damage. The average lenght and
diameter of ZnO naowires were ~10 um and ~150 nm respectively. The integrated
nanogenerator was then connected to a measurement system.
Dept of ECE, CEC 2011-12 Page | 5
Energy Harvesting Through Sound For Nano-devices
2.2. Step by step process of Development
Fig. 2.2 a. A sapphire substarate is taken Fig. 2.2 b. An n-type GaN thin film
(acting as the base substrate deposited.
as bottom electrode)
Fig. 2.2 c. ZnO nanowires grown on Fig. 2.2 d. A polyethersulfone (PES) n-
type GaN thin film. The average length of substrate is coated with palladium
ZnO nanowires ~ 10 gold (PdAu) to be used as both a top
electrode and vibration plate.
Dept of ECE, CEC 2011-12 Page | 6
Energy Harvesting Through Sound For Nano-devices
Fig. 2.2 e. The coated PES substrate is placed Fig. 2.2.f. The integrated
Above ZnO nanowire arrays and Nanogenerator subjecte
scaled at the edges to prevent a sound of ~ 100decible
physical & chemical damages (10 -2 W m-2 at 100 Hz)
Fig. 2.2 Step by step process of Developement
2.3. Growth Mechanism of Vertically Aligned ZnO Nanowire Arrays
Semiconducing nanowires possess many of the unique features required for potential
applications in electrons and optoelectronics[9]. The controlled growth of one-
dimensional (1-D) semiconductor nanostructures has recently been the focus of much
attention.
Researchers have employed various techniques to grow one-dimensional nano-structures,
including bottom-up techniques such as the va-por-solid (VS) process and vapor-liquid-
solid (VLS) process and top-down techniques, i.e., lithographic tech-niques. Other
deposition techniques support the growth of nanostructures using grated substrates or
embedded matri-
ces. Still other techniques confine material to 1-D tubular structures or arrange granular
material in a linear fash-ion.
The VLS process, one of the methods frequently applied to grow 1-D ZnO
nanostructures, was first described in 1965 for the Au-assisted growth of Si whiskers, and
Dept of ECE, CEC 2011-12 Page | 7
Energy Harvesting Through Sound For Nano-devices
is currently a well-understood system. In this process, a metal liquid droplet serves as a
preferential site for absorbing the vapor reactant. Nanostructure growth begins when the
droplet is supersaturated with the source material, and continues as long as the droplet
remains in the liquid state and
vapor is supplied. However, several investigations on this process have shown
unexpected growth behaviors. The dynamic reshaping of catalyst particles during
nanowire growth
determines the length and shape of Si nanowires.
We synthesized ZnO nanowires in a low pressure vapor phase system consisting of a
horizontal quartz tube in a conventional furnace, as schematically depicted in Fig. 2.3 a.
Fig. 2.3 a. Schematic illustration of the horizontal furnace system for growing
ZnO nanowire arrays. (1)Zn metal source; (2) substrate; (3) porous gas
shower head distributor; (4) furnace; (5) quartz tube.
Commercially available high purity metallic zinc powder (Zn, 99.999%) and
commercially available oxygen gas (O2,99.999%) were used as source materials for zinc
and oxyen, respectively. The nanowires were grown on Si(100) substrates coated with Au
thin film, which was deposited by electron beamevaporationmethod.
When the Au coated Si(100) substrates were loaded into the furnace, the distance between
the Zn source at the center and substrates located downstreamof the Ar ranged from2 to 5
cm. In a typical reaction process, approximately 2 g of Zn powder was placed in an
alumina boat in the center of the quartz tube furnace. We used high purity argon gas (Ar,
99.999%) as the carrier gas, running it through a shower head distributor throughout the
reaction process.
Dept of ECE, CEC 2011-12 Page | 8
Energy Harvesting Through Sound For Nano-devices
After loading the samples, the chamber pressure was pumped down to 10-3 Torr using
a rotary pump, and Ar gas was added at the desired growth temperature to drive out any
remaining oxygen. The growth conditions were kept constant at 550 ± 10 °C and 100 Torr
in the center of the furnace for the duration of the reaction process. Ar gas was used to
carry Zn vapor onto the Au coated Si(100) substrates. When the temperature reached the
processing temperature, O2 was introduced as the reactive gas at the flow rate of 10 sccm
to grow ZnO nanowire arrays. After the desired growth was obtained, we allowed the
furnace to cool down to room temperature and then characterized the products on the
substrates in terms of their structural and optical properties.
The morphologies of ZnO nanowire arrays grown on Au coated Si(100) substrate were
examined using a FE-SEM, as Fig. 2.3 b indicates.
Fig 2.3 b. Tilted 45 degree view and cross-sectional SEM images of synthesized ZnO
nanowires grown at 550 degree C for 1 hr on Au(5 nm)/Si(100) substrates with Ar flow
rates of (a)-(b) 300 sccm and (c)-(d) 100 sccm. O2 flow rates were 10 sccm in both cases.
The white arrow indicates the Au catalyst on the tip of ZnO nanowires (scale bar:(a)-(b)
are 1m and (c)-(d) are 500 nm)
Dept of ECE, CEC 2011-12 Page | 9
Energy Harvesting Through Sound For Nano-devices
3. Operation and Observation
3.1. Operation Mechanism
Sound is a regular mechanical vibration that travels through matter as a waveform [10].
Longitudinal sound waves (compression waves) transmitted through the ambient air are
made up of waves of alternating pressure deviations from the equilibrium pressure,
causing local regions of compression and rarefraction.
When a sound wave strikes the PdAu-caoted flexible PES substrate acting as the top
electrode, it causes the flexible substrate to vibrate. This mechanical vibration of the
flexible substrate generated by the sound wave is directly transferred to the vertically
aligned ZnO nanowires, causing compression and releasing of the nanowires.
The power output mechanism of the sound-driven nanogenerator is based on the coupling
of the piezoelectric and semiconducting properties of ZnO. The preferred c-axis
alignment of ZnO nanowires leads to strong piezoelectric alignment with regard to the
external force. The sound wave is used to vibrate the top contact electrode, which
generates electric potential through the vertically well aligned ZnO nanowires in the
direct compression mode.
With a force applied in the direction parallel to the vertically aligned ZnO nanowires, the
centers of mass of the positive and negative ions are shifted , resulting in polarization
along this direction. The created piezoelectric potentials along individual nanowires have
the same tendency of distribution because the ZnO nanowires are grown on the substrate
with the preffered c-axis orientation.
Under direct compression by the sound wave to the vertically aligned ZnO nanowires, a
negative piezoelectric potential is generated on the top side while a positive piezoelectric
potential is generated on the bottom side.
Dept of ECE, CEC 2011-12 Page | 10
Energy Harvesting Through Sound For Nano-devices
3.2. Observation
Figure 3.1 show plots of the input signal generating the sound wave and the output
voltage obtained from the integrated nanogenerator.
Fig. 3.1 The input signal for the generation of a sound wave and output voltage from the
piezoeletric ZnO nanowire arrays due to the sound wave
The converted electrical energy from the sound wave was displayed on the oscilloscope
as a voltage in the alternating current (AC) mode, following the frequency of the sound
wave with the sinusodial mode electrical input with a small phase difference. This phase
difference between the signals is due to the impedance of the intrinsic capacitance and
reactance within the piezoelectric circuit. The intensity of the input sound was ~ 100
decible (dB) (10-2 W m-2 at 100 Hz), and the amplitude of the output voltage was ~50 mv.
3.3. AC output Mode
As we have observed that the converted electrical energy from the sound wave was
displayed on the oscilloscope as a voltage in the alternating current (AC) mode [11]. The
AC output mode from the nanogenerator is due to the Schottky contact formation
between the nanowires and the elkectrode, which acts as a capacitor.
Dept of ECE, CEC 2011-12 Page | 11
Energy Harvesting Through Sound For Nano-devices
Schottky contact is the rectifying contact that occurs between a metal and a lightly doped
semiconductor.
The negative piezoelectric potential generated by the wave increases the conduction band
and the fermi level at the top of the nanowires. Electrons then flow from the top electrode
to the bottom side through the external circuit and the positive potential is generated
around the top PdAu electrode (Figure 3.2 b)
Fig. 3.2 a. The generator with no sound wave application
Fig. 3.2 b. Electrons flow from the top electrode to the bottom side through the external
circuit by the negative piezoelectric potential generated at the top side of the ZnO
nanowires under direct compression by the sound wave. At this time, the positive
potential is generated around the top PdAu electrode.
The potential is kept since the Schottky contact hinders the electrons from being
transported through the interface. The piezoelectric potential dissipates when the external
pressure on the top PES substrate is momentrily removed in the rarefaction mode of the
sound wave (compressive strain is released from the nanowires) (figure 3.2 c).
Dept of ECE, CEC 2011-12 Page | 12
Energy Harvesting Through Sound For Nano-devices
Fig. 3.2 c. The piezoelectric potential dissipates when the external pressure on the top
PES substrate is momentrily removed in the rarefraction mode of the sound wave.
Electrons flow back via the external circuit till neutralizing the positive potential around
the top electrode.
The electrons flow back via the external circuit till neutralizing the positive potential
around the top electrode. These repeated cycles then result in the AC voltage pulses
through the generator.
The functional relationship of the parameters used in the sound-driven piezoelectric
nanogenerator can be described as
Where, P,V and f are the power (which is defined as the input intensity of the sound wave
multiplied by the surface area), the output voltage obtained from the nanogenerator, and
the frequency of the applied sound wave, respectively. Under a fixed frequency (100
Hz), the V2 generated from the nanogenerator is propotional to the input power applied to
the nanogenerator (Figure ). The V2 value is increased linearly within the intensity range
of 0-3 m W m-2, which can be converted to a power ranging from 0-0.3 u W considering
a device size of 1cm2. Above this range, V2 was saturated, possible due to limitation of
energy conversion.
When the input intensity of the sound wave was held constant at ~ 100 dB, V2 was
linearly dependenet on the frequency of the applied sound wave (figure 3.3).
Dept of ECE, CEC 2011-12 Page | 13
Energy Harvesting Through Sound For Nano-devices
Fig. 3.3 Output voltage vs. the input power of the applied
sound wave under a fixed freuency of 100 Hz
These two relationships clearly supports the evidance that the piezoelectric output
generated by the acoustic system follows piezoelectric-mechanical-acoustic energy
conversion (i.e., piezoelectirc energy is transformed into the acoustic one via the
mechanical vibration)[12].
Dept of ECE, CEC 2011-12 Page | 14
Energy Harvesting Through Sound For Nano-devices
3.4. Superposition
Further we performed a linear superposition test in which the two nanogenerators, Cell 1
and Cell 2, showed output voltage of 24 mv and 26 mv, respectively (Figure 3.4).
Fig. 3.4 Results of the “Linear superposition “ tests.
In the linear superposition test, the output voltages of the nanogenerator were enhanced
by connecting them in series. The output voltage of 52 mv is the approximate sum of the
output voltage of individual nanogenerators. Therefore, these experimental results clearly
support the hypothesis that the measured signal originated sound-driven piezoelectric
nanogenerator rather than from the measurement system.
Dept of ECE, CEC 2011-12 Page | 15
Energy Harvesting Through Sound For Nano-devices
3.5. Photoluminescence
Figure 3.5 a. shows the room temperature photoluminescence (PL) of the ZnO nanowires
in the nanogenerator used in this work. The predominant peak seen at 375 nm is usually
attributed to the recombination of free exicition, while a broad deep level emission band
with the relatively weak emission intensity was also observed at about 510 nm.
Fig. 3.5 a. Room-temperature PL spectrum of the ZnO nanowires
In general, braod deep-level emission prevails over free exicition-related emission in the
ZnO nanostructures. It is wellk known that deep-level emission is mainly due to states
inthe band gap, which originates from defects such as zinc interstitials, oxygen vacancies,
and their complexes in the nanostructures. It may be proposed that the realtively deep-
level emission from our ZnO nanowires is due to formation of small number of point
defect in the nanowires.
Dept of ECE, CEC 2011-12 Page | 16
Energy Harvesting Through Sound For Nano-devices
Because the charged point defects acting as actiove carriers in ZnO nanowires speed up
the rate at which the piezoelectric potential is screened [13]. It was concluded that our ZnO
nanowires with a small number of point defects grown on GaN with a negligibly low
lattice mismatch to ZnO is very promissing for effectively generating piezoelectric
potential in the nanowires due the mechnical stimuli of sound waves.
It has been reported that the surface of the ZnO nanowires are apt to be covered with
oxygen (O2) molecules, creating a depletion region. As a result, this not only decreaes the
carrier density (due to the trapping of free electrons in the n-type ZnO nanowires), but
also decreases the conductivity.
Fig. 3.5 b. Behavior of the output voltage from the UV irradiated piezoelectric
nanogenerators driven by sound waves
Under ultraviolet (UV) light irradiation, however, oxygen is able to detached, which
results in increased conductance through nanowires. This is because the holes resulting
from the electrons-holes pair generated by the UV light irradiation can migrate to the
surface and recombination with O2- trapped electrons, causing their release. These
electrons then contribute to the current, enhancing the conductivity of the nanowires. In
addtion UV light irradiation generates photoexcited carries into ZnO nanowires with a
direct band gap, resulting in increased free carrier concentration in the conductance band.
Therefore, it is expected that it will be difficult to effectively generate piezoelectric
potential in very conductive nanowires, which then cause a decrease in the output voltage
of the piezoelectric nanogenerators driven by the sound waves when the ZnO nanowires
Dept of ECE, CEC 2011-12 Page | 17
Energy Harvesting Through Sound For Nano-devices
are exposed to UV light irradiation (figure 3.5 b ). This result is additional evidence that
the output voltage is due the piezoelectric potential generation under sound wave
irradiation.
4. Experimental
Growth of ZnO nanowires on the GaN/Sapphire substrate : ZnO nanowires were
thermally grown using a horizontal quartz tube by vaporizing mixed ZnO and Graphite
(1:1) powder. The growth substrate used was GaN (2 um)/Sapphire on which 3 nm of an
Au thin film catalist was deposited using thermal evaporator. The source powder and the
Au-coated substrates were placed on the ceramic boat and then loaded at the center of the
tube. The ZnO nanowires were synthesized at a temperature of 950 degree C for 20 min
under Argon gas (50 sccm).
Characterization: The morphological properties of the grown ZnO nanowires were
examined by FE-SEM. The sound wave was generated by speaker and function generator
and the intensity of the generated sound was measured by dB meter. The nanogenerator
perfomance in the presence of sound wave was evaluated using an oscillioscope. PL
measurements were conducted using He-Cd laser (ʎ) for excitation.
5. Advantages
Sound that always exists in our everyday life and environments can be a great resource
for energy, which can be harvested from the proposed nanogenerator.
The main advantages of this proposed system are:
1. There has been a lot of interest in making nanodevices, but we have tended not to
think about how to power them. This nanogenerator allows to harvest or recycle
energy from many sources to power these devices.
2. This would be specially convinient for body implants, such as pacemaker, since
surgeries are now required to replace the dead batteries. It could replace those
batteries with power directly harvested from the continual motion of the lungs.
Dept of ECE, CEC 2011-12 Page | 18
Energy Harvesting Through Sound For Nano-devices
3. This system can be used to harvest energy from our body motion such as walking,
finger typing, or breathing.
6. Future Scopes
Since, at the present scenario the device (nanogenerator) is able to generate ~ 50 mv at
~100 dB of sound level, while normal conversation takes place at 60-70 dB. We know
that 50 mv is not enough to charge a mobile phone, but it can surely support the life of
battery. The advancement in the device can increase the output levels and hence can be
used to charge mobile phones when you talk.
Dept of ECE, CEC 2011-12 Page | 19
Energy Harvesting Through Sound For Nano-devices
7. Conclusion
In summary, we demonstrated the sound-driven power generation using nanogenerators
based on piezoelectric ZnO nanowires. The sound wave was used to vibrate the top
contact electrode, which generated electric potential throught the vertical well-aligned
ZnO nanowires in the direct compression mode. When sound with an intensity of ~ 100
dB applied to the nanogenerator, an AC output voltage of about 50 mv was obtained from
the nanogenerator. Systematic investigation of the generated output voltage as a function
of the input power and frequency of the applied sound wave, linear superposition tests,
and the observation of output voltage drop with UV light irradiation applied to the
nanogenerator clearly support the notion that the measured output voltage originated from
the sound-driven nanogenerators. Therfore, our result suggest that sound can be one of
promissing energy source with highly efficient generator based on piezoelectric
nanowires.
Dept of ECE, CEC 2011-12 Page | 20
Energy Harvesting Through Sound For Nano-devices
8. REFERENCES
[1]http://en.wikipedia.org/wiki/energy_harvesting
[2] http://www.gizmag.com/mobiles-powered-by-conversation
[3] http://en.wikipedia.org/wiki/Piezoelectricity
[4] http://www.phonearena.com/news/scientist-harvesting-energy-from-sound
[5] Seung Nam Cha, Ju-Seok Seo, Seong Min Kim, Hyun Jin Kim, Young Jun Park, Sang-woo Kim, and Jong Min Kim, “Sound-driven Piezoelectric Nanowires-based Nanogenerator [6] http://en.wikipedia.org/wiki/Sapphire[7] http:/www.nanowerk.com/spotlight/spotid=14653.php
[8] S-D. Lee, Y.-S. Kim, M.-S. Yi, J.-Y. Choi, S.W. Kim, J. Phys. Chem. C 2009
[9] Yu-Tung Yin,Yen-Zhi Chen,Ching-Hsiang Chenb and Liang-Yih Chen, “The Growth Mechanism of Vertically Aligned ZnO Nanowire Arrays on Non-epitaxial Si(100) Substrates”, Journal of the Chinese Chemical Society, 2011, 58, 817-821
[10] Ju-Seok Seo, Seong Min Kim, Hyun Jin Kim, Young Jun Park, Sang-woo Kim, and Jong Min Kim, “Sound-driven Piezoelectric Nanowires-based Nanogenerator
[11] R. Yang, Y. Qin, C. Li, G. Zhu, X. D. Wang, Nano lett. 2009, 9, 1201
[12] S. Priya, D. J. Inman, Energy harvesting Technologies, Springer, New York 2009, p. 25.
[13] J.Liu, P.Fei, J.H.Song, X. D. Wang, Nano lett. 2008,8, 328.
Dept of ECE, CEC 2011-12 Page | 21