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The classical theory of electromagnetism deals with electric and magnetic fields and interactions caused by distributions of electric charges and currents. This presupposes that the concepts of localised electric charges and currents assume the validity of certain mathematical limiting processes in which it is considered possible for the charge and current distributions to be localised in infinitesimally small volumes of space. Clearly, this is in contradistinction to electromagnetism on an atomistic scale, where charges and currents have to be described in a quantum formalism. However, the limiting processes used in the classical domain, which, crudely speaking, assume that an elementary charge has a continuous distribution of charge density, will yield results that agree with experiments on non-atomistic scales, small or large.

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