Figure 1. A rectangular sample of semiconductor is in a magnetic field B, oriented approximately into the page, as shown. The sample is connected to an ammeter, voltmeter and a voltage source. The schematic shows a circuit involving a sample of semiconductor, whose cross-section is L by w. The sketch is not to scale and the electrodes attached to the sample are not shown. A uniform magnetic field B is applied in the direction indicated by the crosses (roughly, into the page). Each charge carrier has a charge q and the density of charge carriers, measured in ions per cubic metre, is n. Part 1) Use the definition of electric current to give an expression for the average speed of the charge carriers when the ammeter registers a current i. vd = Part 2) Give an expression for the magnitude of the magnetic force on a charge carrier. Your answer should be in terms of i, not v. F= Part 3) The magnetic force in part 2 produces a lateral displacement in the charge carriers, and the build-up of charge carriers on one side of the sample, plus the remaining stationary counter charges on the opposite side, produce an electric field, whose magnitude is such that the total horizontal force on charge carriers is zero. What voltage would be measured by the voltmeter? Your answer should be in terms of ¿, not v. V = Part 4) If the mobile charge carriers are negative, which side of the sample is positive?
Figure 1. A rectangular sample of semiconductor is in a magnetic field B, oriented approximately into the page, as shown. The sample is connected to an ammeter, voltmeter and a voltage source. The schematic shows a circuit involving a sample of semiconductor, whose cross-section is L by w. The sketch is not to scale and the electrodes attached to the sample are not shown. A uniform magnetic field B is applied in the direction indicated by the crosses (roughly, into the page). Each charge carrier has a charge q and the density of charge carriers, measured in ions per cubic metre, is n. Part 1) Use the definition of electric current to give an expression for the average speed of the charge carriers when the ammeter registers a current i. vd = Part 2) Give an expression for the magnitude of the magnetic force on a charge carrier. Your answer should be in terms of i, not v. F= Part 3) The magnetic force in part 2 produces a lateral displacement in the charge carriers, and the build-up of charge carriers on one side of the sample, plus the remaining stationary counter charges on the opposite side, produce an electric field, whose magnitude is such that the total horizontal force on charge carriers is zero. What voltage would be measured by the voltmeter? Your answer should be in terms of ¿, not v. V = Part 4) If the mobile charge carriers are negative, which side of the sample is positive?
Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 94AP: The Hall effect is to be used to find the density of charge carriers in an unknown material. A Hall...
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V
Figure 1. A rectangular sample of semiconductor is in a magnetic field B, oriented approximately into the page, as shown. The sample is connected to
an ammeter, voltmeter and a voltage source.
The schematic shows a circuit involving a sample of semiconductor, whose cross-section is L by w. The sketch is not to scale and the electrodes
attached to the sample are not shown. A uniform magnetic field B is applied in the direction indicated by the crosses (roughly, into the page). Each
charge carrier has a charge q and the density of charge carriers, measured in ions per cubic metre, is n.
Part 1)
Use the definition of electric current to give an expression for the average speed of the charge carriers when the ammeter registers a current i.
vd =
Part 2)
Give an expression for the magnitude of the magnetic force on a charge carrier. Your answer should be in terms of ¿, not v.
F=
Part 3)
The magnetic force in part 2 produces a lateral displacement in the charge carriers, and the build-up of charge carriers on one side of the sample, plus
the remaining stationary counter charges on the opposite side, produce an electric field, whose magnitude is such that the total horizontal force on
charge carriers is zero. What voltage would be measured by the voltmeter? Your answer should be in terms of i, not v.
V =
Part 4)
If the mobile charge carriers are negative, which side of the sample is positive?
(No answer given)
BX
W
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