Abstract
We begin with a sphere of radius R with no electric current on its surface and no magnetic field in or around it. Then, we turn on a current at the surface of the sphere. Consider an idealized scenario in which someone at the center of the sphere suddenly strikes a match at time t = 0. The light from the match moves outward at speed c, and arrives at the sphere at the time t = R∕c.
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References
Panofsky WKH, Phillips M (1962) Classical electricity and magnetism. Addison-Wesley, Reading, MA, p 245
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Sheeley, N.R. (2020). The Vector Potential for a Current Step. In: Transient Magnetic Fields. Springer, Cham. https://doi.org/10.1007/978-3-030-40264-8_2
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DOI: https://doi.org/10.1007/978-3-030-40264-8_2
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