If the U-shaped conductor in the figure has resistivity ρ, whereas that of the moving rod is negligible, derive a formula for the current I as a function of time. Assume the rod starts at the bottom of the U at t=0 and moves with uniform speed v in the magnetic field B. The cross-sectional area of the rod and all parts of the U is A.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 80AP: The current density in the long, cylindrical wire shown in the accompanying figure varies with...
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If the U-shaped conductor in the figure has resistivity ρ, whereas that of the moving rod is negligible, derive a formula for the current I as a function of time. Assume the rod starts at the bottom of the U at t=0 and moves with uniform speed v in the magnetic field B. The cross-sectional area of the rod and all parts of the U is A.

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