Magnetic drag in the quasi‐static limit: A computational method
作者:
M. Marcuso,
R. Gass,
D. Jones,
C. Rowlett,
期刊:
American Journal of Physics
(AIP Available online 1991)
卷期:
Volume 59,
issue 12
页码: 1118-1123
ISSN:0002-9505
年代: 1991
DOI:10.1119/1.16623
出版商: American Association of Physics Teachers
关键词: MAXWELL EQUATIONS;TORQUE;DISKS;INHOMOGENEOUS FIELDS;MAGNETIC FIELDS;ELECTRIC CONDUCTORS;ROTATION;DRAG
数据来源: AIP
摘要:
The method of successive approximations is applied to Maxwell’s equations to calculate the magnetic drag on a conducting disk rotating under the influence of a localizednonuniformmagnetic field. An expression for the damping torque produced by the magnetic field is obtained in the low‐velocity (quasi‐static) limit of the disk’s motion: The damping force, in the case of rectilinear motion, is also calculated. When the theoretical expression for the damping torque is specialized to the case of a uniform magnetic field, the result is found to be identical with that of an existing textbook treatment. In the Appendix, a simplified treatment of the magnetic drag problem suitable for an introductory‐level laboratory class is given. This treatment yields a final expression for the damping torque which is identical in form to the rigorous result except for a scaling factor.
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