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 μm= 10ā»ā¶ 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 10²⸠electrons/m³.
Note further that we have by definition V=Ed.