Lesson: Explaining the Hall EffectPhysics
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.
Sample Question Videos
A thin rectangular strip of semiconductor has a width of 5 cm and a cross-sectional area of 2 mm2. 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 the magnetic field applied to the strip?
The density of charge carriers for copper is 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?
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 mm2. The strip is attached to a battery and immersed in a magnetic field of 1.50 T aligned perpendicularly to the strip’s surface. The battery produces an electric current of 2.00 mA through the length of the strip and a 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?