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Definition
The Hall effect is the production of a
voltage difference (the Hall voltage)
across a current carrying conductor (in
presence of magnetic field),
perpendicular to both current and the
magnetic field.
Discovery
The Hall effect was discovered in 1879
by Edwin Herbert Hall while working on
his doctoral degree at the Johns
Hopkins University in Baltimore,
Maryland, USA.
EDWIN H. HALL
Theory
• A static magnetic field has no effect on
a charged particle unless it is moving.
• When charges flow, a mutually
perpendicular force (Lorentz force) is
induced on the charge.
• Now electrons and holes are separated
by opposite force.
Theory
• This produces a electric field which
depends upon cross product of magnetic
intensity [H] and current density [J]
Eh=R(JxH)
• R is called Hall Coefficient
• Consider a Semiconductor bar along X-
axis, Magnetic field along Z-axis. Thus Eh
will be along Y-axis.
• Thus R=Vh/aJH=Vhb/IH
• Vh is Hall Voltage and I is Jab
Electrons flowing without a magnetic fieldElectrons flowing without a magnetic field
t
d
semiconductor slice
+ _
I I
When the magnetic field isWhen the magnetic field is
turned on ..turned on ..
B-field
I qBv
As time goes by...As time goes by...
I
qBv = qE
low
potential
high
potential
qE
Finally...Finally...
B-field
I
VH
Hall Probes
13
Via LessEMF.com
Via the NDT Resource Center
Richard Beck - Physics 141A, 2013
A Visual Representation
14
From Non-Destructive Testing (NDT) Resource Center
Richard Beck - Physics 141A, 2013
Hole ELECTRON
Electromagnet
Gaussmeter
Hall Probe
Setup
Digital hall
effect setup
Working
1. Conductor is kept
in a magnetic
field.
2. Current is passed
through it.
3. We get a reading
in voltmeter kept
perpendicular to
the conductor.
Recording Observation
• After setup the
Hall Voltage is
measured as a
function of –
1. Current keeping
magnetic field
constant.
2. Magnetic field
keeping current
constant.
Current
HallVoltage
Conclusions
1. Hall Coefficient can be determined using
Rh=Vhb/IH
2. Hall effect can be used to determine the signs of
current carrier in metals and semiconductor.
3. A straight graph between Hall voltage & Current
and between Hall voltage & Magnetic field
confirms their linear relationship. This point has
important meaning as hall effect can be
effectively used to determine current or magnetic
field, when other is known.
Precautions
1. Hall Voltage should be measured very
carefully and accurately.
2. Distance between pole pieces of
Electromagnet should not be changed
during the whole experiment.
3. Current passing through
semiconductor slab should be strictly
within permissible limit.
Applications
Hall effect devices produce a very low
signal level and thus require
amplification. In early 20th
century
vacuum tube amplifiers were expensive
and unreliable. But with the
development of the low cost integrated
circuit the Hall effect sensor became
suitable for mass application.
Current Sensor
• When electrons flow through
a conductor, a magnetic field
is produced.
• Thus, it is possible to create a
non-contacting current
sensor. This has several
advantages:
1. No additional resistance (a
shunt) need be inserted in
the primary circuit.
2. Also, the voltage present
on the line to be sensed is
not transmitted to the
sensor, which enhances
the safety of measuring
equipment.
Hall effect current sensor with
internal integrated circuit amplifier.
Electric Motor Control
Some types of brushless
DC electric motors use Hall
effect sensors to detect the
position of the rotor and
feed that information to the
motor controller. This
allows for more precise
motor control.
Magnetometer
• Smart phones like iPhone
3GS are equipped with
magnetic compass.
• These compass measure
Earth‘s magnetic field using
3-axis magnetometer.
• These magnetometer are
sensors based on Hall Effect.
• These sensors produce a
voltage proportional to the
applied magnetic field and
also sense polarity.
Blood Flow
Similar to the Hall effect, the velocity of blood
can be measured by its ions.
next
Hallresistance-Rxy(ohms)
The classical Hall effect
• Lorentz force likes to deflect jx
• However, E-field is set up which balances Lorentz force
• Balance occurs when Ey = vxBz = Vy/ly
• But jx = nevx (or ix = nevxAx)
⇒ Rxy = Vy / ix = RH Bz × (ly /Ax), where RH = 1/ne
Where ly is transverse width of sample and Ax is the transverse cross sectional area
the sample, i.e. depends on shape of sample
0 2 4 6 8 10
200
0
1200
1000
800
600
400
1400
Slope related to RH
and sample dimensions
Magnetic field (tesla)
Ax
ly
Reminder: The Lorentz Force
F = q[E + (v × B)]
In Cars
29
• Used expansively in rotating systems
• Anti-lock brakes, motor feedback, ignition
Via Power Systems Design, Ltd. Via Draper, 2005
Richard Beck - Physics 141A, 2013
In Space
• Hall Effect thruster
• Trap electrons in a magnetic field, electrons
ionize propellant, creates thrust
Richard Beck - Physics 141A, 2013 31
And there are many more
applications of hall effect…

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Shahid

  • 1.
  • 2. Definition The Hall effect is the production of a voltage difference (the Hall voltage) across a current carrying conductor (in presence of magnetic field), perpendicular to both current and the magnetic field.
  • 3. Discovery The Hall effect was discovered in 1879 by Edwin Herbert Hall while working on his doctoral degree at the Johns Hopkins University in Baltimore, Maryland, USA.
  • 5. Theory • A static magnetic field has no effect on a charged particle unless it is moving. • When charges flow, a mutually perpendicular force (Lorentz force) is induced on the charge. • Now electrons and holes are separated by opposite force.
  • 6. Theory • This produces a electric field which depends upon cross product of magnetic intensity [H] and current density [J] Eh=R(JxH) • R is called Hall Coefficient • Consider a Semiconductor bar along X- axis, Magnetic field along Z-axis. Thus Eh will be along Y-axis.
  • 7. • Thus R=Vh/aJH=Vhb/IH • Vh is Hall Voltage and I is Jab
  • 8. Electrons flowing without a magnetic fieldElectrons flowing without a magnetic field t d semiconductor slice + _ I I
  • 9. When the magnetic field isWhen the magnetic field is turned on ..turned on .. B-field I qBv
  • 10. As time goes by...As time goes by... I qBv = qE low potential high potential qE
  • 12.
  • 13. Hall Probes 13 Via LessEMF.com Via the NDT Resource Center Richard Beck - Physics 141A, 2013
  • 14. A Visual Representation 14 From Non-Destructive Testing (NDT) Resource Center Richard Beck - Physics 141A, 2013
  • 17. Working 1. Conductor is kept in a magnetic field. 2. Current is passed through it. 3. We get a reading in voltmeter kept perpendicular to the conductor.
  • 18. Recording Observation • After setup the Hall Voltage is measured as a function of – 1. Current keeping magnetic field constant. 2. Magnetic field keeping current constant. Current HallVoltage
  • 19. Conclusions 1. Hall Coefficient can be determined using Rh=Vhb/IH 2. Hall effect can be used to determine the signs of current carrier in metals and semiconductor. 3. A straight graph between Hall voltage & Current and between Hall voltage & Magnetic field confirms their linear relationship. This point has important meaning as hall effect can be effectively used to determine current or magnetic field, when other is known.
  • 20. Precautions 1. Hall Voltage should be measured very carefully and accurately. 2. Distance between pole pieces of Electromagnet should not be changed during the whole experiment. 3. Current passing through semiconductor slab should be strictly within permissible limit.
  • 21. Applications Hall effect devices produce a very low signal level and thus require amplification. In early 20th century vacuum tube amplifiers were expensive and unreliable. But with the development of the low cost integrated circuit the Hall effect sensor became suitable for mass application.
  • 22. Current Sensor • When electrons flow through a conductor, a magnetic field is produced. • Thus, it is possible to create a non-contacting current sensor. This has several advantages: 1. No additional resistance (a shunt) need be inserted in the primary circuit. 2. Also, the voltage present on the line to be sensed is not transmitted to the sensor, which enhances the safety of measuring equipment. Hall effect current sensor with internal integrated circuit amplifier.
  • 23. Electric Motor Control Some types of brushless DC electric motors use Hall effect sensors to detect the position of the rotor and feed that information to the motor controller. This allows for more precise motor control.
  • 24. Magnetometer • Smart phones like iPhone 3GS are equipped with magnetic compass. • These compass measure Earth‘s magnetic field using 3-axis magnetometer. • These magnetometer are sensors based on Hall Effect. • These sensors produce a voltage proportional to the applied magnetic field and also sense polarity.
  • 25. Blood Flow Similar to the Hall effect, the velocity of blood can be measured by its ions. next
  • 26.
  • 27. Hallresistance-Rxy(ohms) The classical Hall effect • Lorentz force likes to deflect jx • However, E-field is set up which balances Lorentz force • Balance occurs when Ey = vxBz = Vy/ly • But jx = nevx (or ix = nevxAx) ⇒ Rxy = Vy / ix = RH Bz × (ly /Ax), where RH = 1/ne Where ly is transverse width of sample and Ax is the transverse cross sectional area the sample, i.e. depends on shape of sample 0 2 4 6 8 10 200 0 1200 1000 800 600 400 1400 Slope related to RH and sample dimensions Magnetic field (tesla) Ax ly
  • 28. Reminder: The Lorentz Force F = q[E + (v × B)]
  • 29. In Cars 29 • Used expansively in rotating systems • Anti-lock brakes, motor feedback, ignition Via Power Systems Design, Ltd. Via Draper, 2005 Richard Beck - Physics 141A, 2013
  • 30.
  • 31. In Space • Hall Effect thruster • Trap electrons in a magnetic field, electrons ionize propellant, creates thrust Richard Beck - Physics 141A, 2013 31
  • 32. And there are many more applications of hall effect…