In an experiment designed to measure the Earth’s magnetic field using the Hall effect, a copper bar 0.500 cm thick is positioned along an east-west direction. Assume it n = 8.46 × 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of → B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.10 × 10–12 V, what is the magnitude of the Earth’s magnetic field at this location?

In an experiment designed to measure the Earth’s magnetic field using the Hall effect, a copper bar 0.500 cm thick is positioned along an east-west direction. Assume it n = 8.46 × 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of → B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.10 × 10–12 V, what is the magnitude of the Earth’s magnetic field at this location?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 48P: A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field...

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Tutorial Exercise In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.495 cm thick is positioned along an east-west direction. Assume n = 8.46 × 1028 electrons/m³ and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the -12 conductor results in a Hall voltage of 4.37 x 10 V, what is the magnitude of the Earth's magnetic field at this location? Part 1 of 3 - Conceptualize From this Table of Approximate Magnetic Field Magnitudes, the magnitude of the Earth's magnetic field is about 50 μT. We expect a result with this order of magnitude. Part 2 of 3 - Categorize We will find the magnitude of the magnetic field from the equation for the Hall effect voltage. Part 3 of 3 - Analyze Hall effect voltage is given by the following. IB nqt' AVH where I is the current, n is the volume density of electrons, B is the magnitude of the magnetic field, and t is the thickness of the copper bar. Solving…
In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.410 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 4.70 * 10-12 V, what is the magnitude of the Earth's magnetic field at this location? HT Need Help? Read It Master It
Tutorial Exercise In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.415 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.52 x 10-12 v, what is the magnitude of the Earth's magnetic field at this location?