The name is absent



Taking into account the geometry of the Hall effect in the metal lamina we can
write:

(96)

EH = -v-× B = B × v-

(97)

tgθH=EH=- Vt b

ii

(98)

θH= arctgknB

where

(99)

kn=- E-

kn is called electron mobility in the metal lamina. If we suppose that the electric
polarizing field EH is constant the electric voltage VH between M’ and M is:

(100)

—7                      —7

VH = EHh = V-× B ■ sinα ■ h

where α is the angle between the vectors B and V- (if α=90o then sinα=1). The
condition EH = const is fulfilled if V- = const and B = const. The current density
J- through the surface S of the lamina is:

(101)

7    i_

J = — = V en

-S    -

(102)

V-= RHJ-

(103)

RH = -1

H

en

where n denotes the number of the elementary charges e in unity volume, and
RH is called Hall resistance. RH can thus be measured to find the density of
carriers in the material.

56



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