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UiO-FYS3231 H2022 6 c4-1

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FYS 3231/ 4231
Sensors and measurement technology
6
Principles of Sensing (1/2)
Autumn 2022
Anja Kohfeldt
Administrative
• Deadline for chosing presentation topic of
Friday!
43
44
45
date
name
topic
Tue 25-10
Movement, Position and Speed
Ralv Glasø Sverdrup Holmsen Radar, GPR, Ultra sonic, micro wave
Diana Rohollahi
Opto-electric motion sensors
Yoon Jung Oh
Inductive & magnetic sensors
Gyroscopes
Mustafa Najjar
Accelerometers
Tue 01-11
Force, pressure, flow
Daniel Beckhaug
Force sensors
Dennis Edward Kalinowski
Optical strain gauges
Yilmaz Turkyilmaz
Classical pressure sensors
Rein Åsmund Torsvik
Vacuum sensors
Flow basics & thermal transport sensors
Mohammed Zain Farooqi
MEMS and other flow sensors (pick 4 )
Tue 08-11
acoustics and humidity
Standard mics
Optical, piezoelectric and dynamic mics
Humidity 1
Humidity 2
Sigrid Videm
Gravitational wave detection (LIGO, VIRGO, KAGRA)
Tue 15-11
light and radiation
Jan Harald Aasen
Photo diodes, -transistos - resistors (quantum detectors)
Even Tobias Eriksen
Imaging detectors (CCD, CMOS)
Georg Scheurecker
Thermal radiation detecors (bolometers, MCT)
Silje Vik
Scintillators & Gamma spectroscopy
Lisa Leonhartsberger
Ionizing detecors
Tue 22-11
temperature and chemical/bio sensors
Øyvind Ringen
Ceramic and resistive temperature sensors
Youssef Abdulqader Aldabak Semiconductor and thermo-electric sensors
Samson Fekade Badishe
Other thermo sensors (optical, acousitcal, piezo)
KeithFYS
Finlayson
3231/4231, høst 2022Chemical sensors
Kristiane Holm
Biological sensors, bioimpedance
• Presenting is mandatory for final exam!
46
47
chapter
7, 8, 9
7.1-4
7.8, 8.5
8.4
9.2
9.3
10, 11, 12
10
10+
11.1-11.6
11.10
12.1-12.3
12.4-12.10
13, 14
13.1-13.4
13.5-13.7
14.1-14.4
14.5-14.8
15, 16
15.1-15.5
15.6
15.8
16.1
16.2
17, 18
17.3-17.5
17.6-17.8
17.9-17.11
18.1.1 18.3-18.42
18.1.2, other
Overview
• Recap
• Physical Principles of Sensing
–
–
–
–
–
–
Electric Charges, Fields, Potentials
Capacitance
Magnetism
Hall Effect
Induction
Resistance
FYS 3231/4231, høst 2022
3
Recap In your lab groups:
• Test Plan:
– Is your test plan for the lab task sufficient to let
someone else conduct the measurement?
– What is missing or need to be improved?
• Lab Journal:
– Monday groups: can you reproduce your last
measurement?
– Friday groups: what do you need to record for a
calibration measurement?
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4
Direct Sensor vs. Hybrid Sensor
Recap!
Direct sensor
Hybrid sensor
• Direct energy conversion into
generation or modulation of
electrical signal, one step
• E.g. thermopile, photo diode
• Needs one or more
transducers in addition to
direct sensor
• E.g. chemical sensors,
microphone
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Recap!
Direct sensors
• Having a look into the black box
x[n]
stimulus
S(x[n])
sensor
FYS 3231/4231, høst 2022
y[n]
electrical signal
6
Electric charge
• Q in [C] (1C= 1 As)
– Q for quantum, elementary
charge
– 𝑒 = π‘ž = 1,602 βˆ™ 10−19 𝐢
• Positive and
negative
• Forming a field
between different
charge points
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7
Electric field
• Defined as force on a charge: Coulomp law
𝐹Ԧ𝑒𝑙𝑒𝑐 =
1 π‘ž1 π‘ž2
4πœ‹πœ€0 π‘Ÿ 2
• Electrical field strengh 𝐸 =
𝐹Ԧ𝑒𝑙𝑒𝑐
π‘ž0
=
π‘ž
4πœ‹πœ€0 π‘Ÿ 2
𝑉
π‘š
• Permittivity πœ€ = πœ€0 πœ…,
– electrical field constant πœ€0 = 8,854 ⋅ 10−12
𝐴𝑠
π‘‰π‘š
– measure of the electric polarizability of a dielectric
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𝐹Ԧ𝑒𝑙𝑒𝑐
π‘ž
𝐸=
=
π‘ž0
4πœ‹πœ€0 π‘Ÿ 2
πœ€ = πœ€0 πœ…
Electric field
• Electric displacement field 𝐷 = πœ€πΈ
𝐢 ′
π‘š2
– Bond charge separation in dielectric materials
• Electric flux Φ𝐸 = ‫𝐴 𝑑𝐷 ׬‬Ԧ [C]
– Description of fields
– “number of field lines” passing a given area A
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Dipole in electric field
𝐹Ԧ𝑒𝑙𝑒𝑐
2π‘Ž π‘ž
𝐸=
=
π‘ž0
4πœ‹πœ€0 π‘Ÿ 3
r
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10
Charge in solids
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11
Triboelectric effect
• Electric charge separation due
to object movement
• Contact electrification of certain
materials
• Cause of static electricity
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+
Triboelectric effect
Hair, oily skin
Nylon, dry skin
Glass
Acrylic, Lucite
Leather
Rabbit's fur
Quartz
Lead
Cat's fur
Silk
Aluminium
Paper (Small positive charge)
Cotton
Wool (No charge)
0
Steel (No charge)
Wood (Small negative charge)
Amber
Sealing wax
Polystyrene
Rubber balloon
Hard rubber
Nickel, Copper
Brass, Silver
Gold, Platinum
Polyester
Plastic wrap
Polyethylene (like Scotch tape)
Polypropylene
Vinyl (PVC)
Silicon
Teflon (PTFE)
Silicone rubber
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13
Capacitance
• the ratio of the change in electric charge q of
a system to the corresponding change in its
electric potential V
• 𝐢=
π‘ž
𝑉
• Flat capacitor:
• 𝐢=
𝐴
πœ€0 πœ…
𝑑
• dielectric
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Capacitive sensors
• One of parameters defining C is modulated
• 𝐢=
𝐴
πœ€0 πœ…
𝑑
→V=
π‘ž
𝐢
• Different geometries to modulate, e.g.
cylindrical capacitor
• Dielectric constant πœ… negative temperature
and frequency dependent
– → used in integrated sensors
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Temp. dependency
κ for water
Capacitive sensors
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Material
Κ @ troom
Air/vacuum
1
Rubber
7
Ti ceramics
14-110
Diamond
5,5
Glass
4-4,5
Compound
TFC
300-5000
Water
78,5
16
Electric vs. Magnetic field
Electric
Magnetic
Created around electric charge
Nature
Proportional to the electric
charge
𝐹𝑒𝑙𝑒𝑐 = π‘žπΈ
Force
β”΄ to magnetic field
Movement
Created around …?
Field effect
Inductive
Poles
Dipole
Field
strength
𝐻=
πΉΤ¦π‘šπ‘Žπ‘”
πœ‡0 𝐼 𝑙
[1
𝐴
]
π‘š
Displacement field
Flux
FYS 3231/4231, høst 2022
17
Electric vs. Magnetic field
Electric
Magnetic
Created around electric charge
Nature
Created around moving electric
charge and magnets
Proportional to the electric
charge
𝐹𝑒𝑙𝑒𝑐 = π‘žπΈ
Force
Proportional to charge and speed of
electric charge
β”΄ to magnetic field
Movement
Capacitive
Field effect
β”΄ to the electric field
Inductive
Monopole or Dipole
Poles
Dipole
𝐸=
𝐹Ԧ𝑒𝑙𝑒𝑐
π‘ž0
[1
𝐷 = πœ€0 πœ€π‘Ÿ 𝐸
Ψ = ‫𝐴𝑑 𝐷 ׭‬Ԧ
𝑉
π‘š
𝑁
𝐢
= 1 ]
πΉπ‘šπ‘Žπ‘” = π‘ž 𝑣 𝐡 𝑠𝑖𝑛(Θ)
Field
strength
𝐢
]
π‘š2
Displacement field
[1𝐢]
Flux
[1
FYS 3231/4231, høst 2022
𝐻=
πΉΤ¦π‘šπ‘Žπ‘”
[1
πœ‡0 𝐼 𝑙
𝐡 = πœ‡0 πœ‡π‘Ÿ 𝐻
Φ = ‫𝐴𝑑 𝐡 ׭‬Ԧ
𝐴
]
π‘š
[1𝑇]
[1𝑉𝑠 = 1π‘‡π‘š2 ]
18
Magnetism
• Force field between pair of magnetic poles
(N,S) based on atoms and arrangement
– permanent magnets: spinning e- around nucleus
– or caused by electric current in conductor
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Magnetism
Permanent
• Ferromagnetics and
special alloys with rare
earth materials, Alnico,
RE-Cobalt
Coils
• Conductor in cylindrical
coil form result in uniform
magnetic field in center
• 𝐡 = πœ‡0 𝑛𝑖
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Magnetism
Paramagnetism
Diamagnetism
•
•
•
•
•
Due to unpaired
electron movement
Induced magnetic
field in direction of
applied field
No memory effect
w/o mag. field
Example: H
•
•
•
Repulsive force by
induced mag. Field
in opposite
direction
Paired electrones
Example: Bismut
Superconductor!
FYS 3231/4231, høst 2022
Ferromagnetism
• Magnetic dipoles
pointing in same
direction
21
Magnetoresistive effect
• Sideways force FB on charge q0 traveling
with velocity in magnetic field B
→ Spiral movement of charge
→ «longer way» = change in resistace
𝐹Ԧ𝐡 = π‘ž0 𝜈𝐡 sin πœ™
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Hall Effect
d
• Voltage difference
in a current leading
conductor in
stationary magnetic
field due to force
𝐹Ԧ𝐡 = π‘ž0 𝜈𝐡 sin πœ™
• Hall voltage:
𝐼𝐡
𝑉𝐻 =
π‘›π‘žπ‘‘
Charge density, Hall constant,
material dependent
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Faraday’s law
• Prediction of how magnetic fields will interact
with an electric circiut to produce an
electromotive force
• → electromagnetic induction
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Faradays induction experiment
I
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Induction
• Induced voltage, or electromotive force
equals rateat which magnetic flux through
circuit changes
• 𝑉=
𝑑Φ𝐡
−𝑁
𝑑𝑑
=
𝑑 𝐡𝐴
−𝑁
𝑑𝑑
=
𝑑𝑖
−𝐿
𝑑𝑑
• Changing magnetic field B or area of circuit A
– Misplacing B source with respect to receiving
circuit (moving or changing orientation)
– Varying current in coil producing B
– Changing geometry of pick-up circuit
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Induction
Inductance
𝑛Φ𝐡
𝐿=
= πœ‡0 πœ‡π‘Ÿ 𝑛2 𝑔𝐺
𝑖
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Induction: Lenz Law
• “The induced current will appear in such a direction
that it opposes the current that produced it.“
• Broad applications:
– Electromagnetic breaking
– Metal detectors
– Induction cooktops
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Resistance
• Electrones moving in materials along electric
field
• Material property: ability to pass charges
• 𝑅=
π‘ˆ
𝐼
𝑉
[1
𝐴
= 1Ω]
𝑙
𝜌
𝐴
• 𝑅=
ρ specific resitivity
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Temperature sensitivity of a Resistor
• Specific resistivity is temperature dependent
𝑑 − 𝑑0
𝜌 = 𝜌0 1 + 𝛼
𝑑0
• Linear approximation, valid
for defined temperature
ranges.
• In reality often non-linear,
higher-order polynominals
• Metals: PTC
• Semicondu. & oxides: NTC
• Conventional resistor with
𝛼 = 10−5 or lower
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Strain Sensitivity
• Measure of mechanical deformation
• Effects geometry and specific resistivity
• → piezoresistivity
• Stress: 𝜎 =
•
•
𝐹
π‘Ž
=
𝑑𝑙
𝐸
𝑙
= 𝐸𝑒
E Young modulus of material
E strain
• 𝑅=
𝑙
𝜌
𝐴
=
𝑙2
𝜌 volume
𝑉
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Strain Sensitivity
• Applications:
pressure
weight
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acceperometers
32
Moisture Sensitivity of R
• Some materials with 𝜌 sensitive for moisture
• Conductors covered in hygroscopic material
= hygristors
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summary
• Electric and magnetic fields with vector force
on charges
• Materials characteristics may change with
temperature, moisture, external stress, that
influences capacitance and/or inductance
• Test setup designs allowing for modulation
(geometry) as sensors
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Next time:
– More sensing effects
• Piezoelectric effect
• Pyroelectric effect
• Thermoelectric effects
– Material behaviour in environments
• Sound waves
• Thermal material properties
• Heat transfer
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