Abstract
The torque is calculated on an electrically resistive rotating cylinder and sphere through which a current is fed by means of sliding contacts. The torque on a rotating cylinder is proven to vanish identically for arbitrary angular velocity. The torque on the sphere is shown to vanish up to second order in an expansion with the angular velocity as the expansion parameter. The nonzero torque in first order found by Gruenberg is shown to be due to an algebraic error.
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References
Gruenberg H (1978) Am J Phys 46: 1213–1219
Hannakam L, Jensen KM (1977) Arch f Elektrotechnik 59: 253–259
Laithwaite ER (1968) Electrical Review, 130–131
Milroy RA (1967) A Appl Mech 34: 525
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The author wrote this article in honour of Bert Broer, who he considers an exponent of classical physics viewed from a modern and general point of view. Bert would undoubtedly have written on the present subject in a broader sense.
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Weenink, M.P.H. The electromagnetic torque on axially symmetric rotating metal cylinders and spheres. Applied Scientific Research 37, 171–182 (1981). https://doi.org/10.1007/BF00382627
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DOI: https://doi.org/10.1007/BF00382627