How to Calculate Drift Velocity in a Hall Effect Experiment?

AI Thread Summary
To calculate the drift velocity in a Hall effect experiment, a thin metal film with specific dimensions is used, carrying a current of 2.60 A and producing a Hall voltage of 16.0 microVolts in a 2.00 Tesla magnetic field. The initial attempt to find the number of charge carriers (n) using the equation n = IB/Vh ed was incorrect. A revised approach suggested using the equation Vd = Vh * width / B, which resulted in a drift velocity calculation of 2.00e-8 m/s. However, this answer was also deemed incorrect, indicating a need for further clarification or correction in the calculations.
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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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