A rod of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure 4. The rails are separated by a distance d. A battery that maintains a constant emf ɛ is connected between the rails, and a constant magnetic field B is directed out of the page. Assuming the rod starts from rest at timet = 0, find its velocity in terms of time t, ɛ, B, d, m, and R.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 83A
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A rod of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails
as shown in Figure 4. The rails are separated by a distance d. A battery that maintains a constant emf
ɛ is connected between the rails, and a constant magnetic field B is directed out of the page. Assuming
the rod starts from rest at timet = 0, find its velocity in terms of time t, ɛ, B, d, m, and R.
Transcribed Image Text:A rod of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure 4. The rails are separated by a distance d. A battery that maintains a constant emf ɛ is connected between the rails, and a constant magnetic field B is directed out of the page. Assuming the rod starts from rest at timet = 0, find its velocity in terms of time t, ɛ, B, d, m, and R.
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