a wood cylinder of mass m = 0.250 kg and length L = 0.100 m, with N = 10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle u to the horizontal, with the plane of the coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.500 T, what is the least current i through the coil that keeps the cylinder from rolling down the plane?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 16OQ: Solenoid A has length L and N turns, solenoid B has length 2L and N turns, and solenoid C has length...
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a wood cylinder of mass m = 0.250 kg
and length L = 0.100 m, with N = 10.0 turns of wire wrapped
around it longitudinally, so that the
plane of the wire coil contains the
long central axis of the cylinder. The
cylinder is released on a plane inclined
at an angle u to the horizontal,
with the plane of the coil parallel to
the incline plane. If there is a vertical
uniform magnetic field of magnitude
0.500 T, what is the least current i
through the coil that keeps the cylinder
from rolling down the plane?

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