The Wilson-Wilson Experiment
نویسندگان
چکیده
An example of unipolar induction is a slab of material with (relative) permittivity and (relative) permeability μ that is immersed in a uniform external magnetic field H0 parallel to the plane of the slab, such that if the slab has velocity v perpendicular to H0 but also in the plane of the slab, a nonzero voltage difference V is detected between sliding contacts (fixed in the laboratory) on opposite sides of the slab. Deduce this voltage difference. Consider also the case that the material is in the form of a (long) cylindrical shell that rotates with constant angular velocity ω about its axis, which is parallel to the external field H0. You may assume that all velocities are small compared to the speed of light c. Experiments with rotating magnetized cylinders were first performed by Faraday [1]. The variant with a cylindrical shell and an external magnetic field was studied in 1913 by Wilson and Wilson [2] as a test of special relativity; see also [3].
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