In this lesson, we will learn how to calculate the Hall voltage across a conductor when a magnetic field is applied perpendicular to the current.

Q1:

A thin rectangular strip of semiconductor has a width of 5 cm and cross-sectional area of 2 mm^{2}. The strip is connected to a battery and placed in a magnetic field perpendicular to the surface of the strip. A Hall voltage of 12.5 V is produced across the strip, associated with a drift velocity of 50 m/s. What is the magnitude of magnetic field applied to the strip?

Q2:

The density of charge carriers for copper is 8 . 7 4 × 1 0 2 8 electrons per cubic meter. A probe made of a copper plate of length 3.0 cm, width 2.0 cm, and thickness 1.0 cm is placed in magnetic field of 2.5 T, aligned perpendicular to the length-width plane. If a current of 1.5 A is passed through the probe, what Hall voltage value does it measure?

Q3:

The surface of a thin rectangular strip of a semiconductor has a width of 10.0 cm and a length of 30.0 cm. The cross-sectional area of the strip is 1.00 mm^{2}. The strip is attached to a battery and immersed in a 1.50-T magnetic field aligned perpendicularly to the strip's surface. The battery produces a 2.00-mA electric current through the length of the strip and Hall voltage of 12.0 V is produced across the strip's width. What is the number density of the charge carriers in the semiconductor?

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