Assume: The mobile charge carriers are either electrons or holes. The holes have

Question

Assume: The mobile charge carriers are either electrons or holes. The holes havethe same magnitude of charge as the electrons. The number of mobile charge carriers for this particular material is n = 8.49 × 10^28 electrons/m3.

Note: In the figure, the point at the upper edge P1 and at the lower edge P2 have thesame x coordinate. A constant magnetic field of magnitude points out of the paper. There is a steady flow of a horizontal current flowing from left to right in the x direction.

The charge on the electron is 1.6021 × 10^19 C.What is the magnitude of the electric field between the upper and lower surfaces? Answer in units of N/C.

Explanation / Answer

from hall effect, a voltage will be induced in the sample given by V= Ed = BI/kw so E = BI/kdw where d-distance between upper and lower surface w- width of sample k- charge density (C/m3) so E = 1.2*8.7/ 8.49 × 10^28 *1.6021 × 10^-19*3*8 E = 3.2*10^-7 V/m

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