A thin metal film of length 2.80 cm, width of 0.700 cm, and thickness of 30.0 mi

Question

A thin metal film of length 2.80 cm, width of 0.700 cm, and thickness of 30.0 micrometers is used to measure the Hall effect. A current of 1.60 A is maintained along the length of the sample. The Hall voltage of 27.0 microVolts is detected across its width, when a magnetic field of 2.00 Tesla is applied normal to the film.

A)
Calculate the drift velocity of the charge carriers.

B)
Assuming the charge carriers are electrons, calculate their density.

C)
By measuring the voltage drop along the sample, the resistivity of the metal was found to be 2.00

Explanation / Answer

multiply the resistivity with the length and divide to the area to find the resistance (or you know the voltage and current so you can find the resistance from there too). 2.60 A x resistance gives voltage, divide this voltage with the area to find the electric field. then divide the hall voltage to the area (now the transverse one i.e. length x thickness) and you have the hall electric field. Now divide them to find the ratio.

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