The figure shows a cylinder of mass 4kg, radius 5.9cm and length 6.4 cm with 40 turns of wire wrapped around it lengthwise, so that the plane of the wire loop contains the axis of the cylinder. What is the least current which while flowing through the loop will prevent the cylinder from rolling down an inclined plane of inclination 23°, in the presence of a vertical magnetic field of B = 1.5 T? The plane of the windings is parallel to the inclined plane.
The figure shows a cylinder of mass 4kg, radius 5.9cm and length 6.4 cm with 40 turns of wire wrapped around it lengthwise, so that the plane of the wire loop contains the axis of the cylinder. What is the least current which while flowing through the loop will prevent the cylinder from rolling down an inclined plane of inclination 23°, in the presence of a vertical magnetic field of B = 1.5 T? The plane of the windings is parallel to the inclined plane.
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter20: Astrobiology: Life On Other Worlds
Section: Chapter Questions
Problem 15RQ
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The figure shows a cylinder of mass 4kg, radius 5.9cm and length 6.4 cm with 40 turns of wire wrapped around it lengthwise, so that the plane of the wire loop contains the axis of the cylinder.
What is the least current which while flowing through the loop will prevent the cylinder from rolling down an inclined plane of inclination 23°, in the presence of a vertical magnetic field of B = 1.5 T? The plane of the windings is parallel to the inclined plane.
(Please answer in SI unit )
Hint: Gravity will provide the toppling torque while the torque due to B opposes it. Equate clockwise and anti-clockwise torques.
Hint: Gravity will provide the toppling torque while the torque due to B opposes it. Equate clockwise and anti-clockwise torques.
Transcribed Image Text:B
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