Use the idea of the Hall effect, it\'s similar but not exactly like it: A tube t

Question

Use the idea of the Hall effect, it's similar but not exactly like it:

A tube that is placed in an external magnetic field. (One side is positive and the other is negative) Fluid is flowing through the tube. The fluid contains suspended charged molecules (ions). Electrodes are connected to the top and bottom of the tube to measure the voltage. For each of the following changes, will the measured voltage change sign, magnitude, will there be no change, or do you need more information?

answer the following and draw out:

(1) The density of ions increases.

(2) The magnitude of the magnetic field increases.

(3) The direction of the magnetic field reverses.

(4) The flow reverses directions.

(5) A magnetic field is applied along the length of the channel.

(6) An electric field is applied along the length of the channel.

Explanation / Answer

we know,

Hall voltage, vH = B*I/(n*e*d)

here

B ---> magnetic field

I ---> current through the conductor

n --> charge carrier density

e ---> charge of electron

d ---> thichness of the slab

so,

1) voltage decreses

2) voltage increases

3) sign changes

4) sign changes

5) no voltage

6) no voltage

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