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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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