a) What is Hall Effect? Explain briefly.

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Chapter1: Units, Trigonometry. And Vectors
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a) What is Hall Effect? Explain briefly.
b) Show that the number density n of free electrons in a conductor wire is given
in terms of the Hall electric field strength E, and the current density J, as
n=JB/(eE). (Here we have J=i/A; i is the electric current intensity, and A is
the cross-sectional area of the wire.)
c) Calculate the voltage V sideway across the conductor given the following.
The conductor wire has a square cross section of side d=150 µm. (Note 1
um= 10-6 m.)
The magnetic field applied to the conductor has the strength B= 0.60 Tesla.
The current going through the conductor is i = 25 A.
The density of free electrons in the conductor is n= 8.47 x 1028 electrons/m³.
Note further that we have by definition V=Ed.
Transcribed Image Text:Question 1 a) What is Hall Effect? Explain briefly. b) Show that the number density n of free electrons in a conductor wire is given in terms of the Hall electric field strength E, and the current density J, as n=JB/(eE). (Here we have J=i/A; i is the electric current intensity, and A is the cross-sectional area of the wire.) c) Calculate the voltage V sideway across the conductor given the following. The conductor wire has a square cross section of side d=150 µm. (Note 1 um= 10-6 m.) The magnetic field applied to the conductor has the strength B= 0.60 Tesla. The current going through the conductor is i = 25 A. The density of free electrons in the conductor is n= 8.47 x 1028 electrons/m³. Note further that we have by definition V=Ed.
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