The Hall coefficient is defined as this: R H = E y j x B z .Always as R H . I am currious as to how to use this coefficient? Is it the y-direction resistance/resistivity (it is very close to the general resistivity from Ohm's law ρ = E / j)? Then I should be able to find it by R H = V y / I y (or R H = E y / j y ).or is it simply defined as this as a proportionality constant (it does indeed look good with the three factors combined around one constant) and not an actual physical quantity?

Question

The Hall coefficient is defined as this:      R    H    =            E      y                      j        x                    B        z              .Always as       R    H  . I am currious as to how to use this coefficient? Is it the y-direction resistance/resistivity (it is very close to the general resistivity from Ohm&#039;s law   ρ  =  E      /    j)? Then I should be able to find it by       R    H    =      V    y        /        I    y   (or       R    H    =      E    y        /        j    y  ).or is it simply defined as this as a proportionality constant (it does indeed look good with the three factors combined around one constant) and not an actual physical quantity?

verdesett014ci · Accepted Answer

It is not a resistance. Remember we are interested in the electric field developed in the y direction as a result of current flowing in the x-direction. Applying Lorentz law and electron sea model in metals, we expect it to be proportional to the current in x-direction and magnetic field. Therefore, an introduction of a constant which will depend on the material properties.

The Hall coefficient is defined as this: R H </msub> = E

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