Question

The Hall Voltage is the potential created across a current-carrying metal-strip when the strip is placed...

The Hall Voltage is the potential created across a current-carrying metal-strip when the strip is placed in a magnetic field perpendicular to the current flow in the strip. It is used as a research tool to probe the movement of charges in materials, as well as determining the blood flow rate. One fundamental use of the Hall effect is the determination of the charge of the charge carriers. What of the following statements is true concerning the strips with a positive versus a negative Hall voltage?

  • (Choice A) The top strip has positive charge carriers, and the electric field points in the same direction as the electric force.

  • (Choice B) The bottom strip has positive charge carriers, and the electric field and electric force point in the same direction.

  • (Choice C) The top strip has negative charge carriers, which get deflected to the top of the plate.

  • (Choice D) The bottom strip has negative charge carriers, and the magnetic force points upward along the plate.

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Answer #1

In case of positive hall voltage, the charge carriers have positive charge i.e. they are holes. When the magnetic field is applied perpendicular to the current then there exists the magnetic force on the positive charges which puah them upward. Hence upper plate is positively charged and lower plate is negatively charged. Then thwre is equllibrium between magnetic force and electrostatic force such that specific value of hall voltage is produced. Also for positive charges electric field and electric force have same direction. Hence the answer is

choice A and choice D

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