How to Calculate Drift Velocity in a Hall Effect Experiment?

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SUMMARY

The discussion focuses on calculating the drift velocity of charge carriers in a Hall Effect experiment involving a thin metal film. The parameters include a current of 2.60 A, a Hall voltage of 16.0 microVolts, and a magnetic field of 2.00 Tesla. The initial approach using the equations Vh = IB/ned and I = neAVd was incorrect, leading to a revised formula: Vd = Vh * width / B. However, the calculated drift velocity of 2.00e-8 m/s was also deemed incorrect, indicating a need for further analysis.

PREREQUISITES
  • Understanding of the Hall Effect and its equations
  • Familiarity with the concepts of drift velocity and charge carriers
  • Knowledge of basic electrical parameters such as current and voltage
  • Proficiency in manipulating equations involving physical constants and variables
NEXT STEPS
  • Review the derivation of the Hall voltage equation Vh = IB/ned
  • Investigate the relationship between current, charge density, and drift velocity in conductive materials
  • Explore the implications of magnetic fields on charge carrier motion in Hall Effect devices
  • Practice solving problems related to the Hall Effect using different materials and configurations
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and semiconductor physics, as well as educators seeking to clarify the Hall Effect and its applications.

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Homework Statement


A thin metal film of length 1.00 cm, width of 0.250 cm, and thickness of 29.0 micrometers is used to measure the Hall effect. A current of 2.60 A is maintained along the length of the sample. The Hall voltage of 16.0 microVolts is detected across its width, when a magnetic field of 2.00 Tesla is applied normal to the film.
Calculate the drift velocity of the charge carriers.

Homework Equations


Vh = IB/ned
I=neAVd

Vh = Hall Voltage
Vd = Drift Velocity
I = Current
B = Magnetic Field
n = Number of electrons
e = Charge of particle
A = area
d = Thickness of film

The Attempt at a Solution


Using equation 1 I got n = IB/Vhed
Then I plugged that into equation 2 and solved for Vd but this answer is incorrect.

Any help would be greatly appreciated! Thanks
 
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The drift velocity is what makes the magnetic field, so I think the equation should be:

q Vh *width = q Vd B

So Vd = Vh * width/B
 
Using that equation I got Vd = 16e-6 * 0.0025 / 2.00 = 2.00e-8 m/s

This answer was incorrect though.
 

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