Hall Effect and Lorentz force

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kalemaxon89

Joined Oct 12, 2022
259
I am studying the Hall effect sensors in the book and found a question:

Considering a large pipe, with a diameter of 1.2 m, is carrying water, at the speed of 8 m/s. The pipe is subjected to the action of the Earth magnetic field, perpendicular to the pipe.
What is the magnitude of the Hall voltage induced on a Hall sensor placed on the surface of the pipe?


The first formula that comes to mind is V = R*i*B*sen(a)/thickness ... but I don't think I have enough data.
Then I tried Lorentz force: F = qvBsen(a)* --> E = vB = 480uV

Is this correct?
 

RoofSheep

Joined Mar 7, 2023
36
I am studying the Hall effect sensors in the book and found a question:

Considering a large pipe, with a diameter of 1.2 m, is carrying water, at the speed of 8 m/s. The pipe is subjected to the action of the Earth magnetic field, perpendicular to the pipe.
What is the magnitude of the Hall voltage induced on a Hall sensor placed on the surface of the pipe?


The first formula that comes to mind is V = R*i*B*sen(a)/thickness ... but I don't think I have enough data.
Then I tried Lorentz force: F = qvBsen(a)* --> E = vB = 480uV

Is this correct?
Look at the example of blood flow in this book:
https://pressbooks.bccampus.ca/collegephysics/chapter/the-hall-effect/
 
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