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In a watt balance experiment, separate measurements of magnetic force andinduced electric potential in a conductor in a magnetic field allow for avirtual comparison between mechanical and electrical powers, which leads to andan accurate measurement of the Planck constant. In this paper, the macroscopicequations for the magnetic force and the induced electric potential arere-examined from a microscopic point of view and the corrective terms due to anon-uniform density of the conduction electrons induced by their interactionwith the magnetic field are investigated. The results indicate that thesecorrections are irrelevant to the watt balance operation.

The watt-balance operation: magnetic force and induced electric potential on a conductor in a magnetic field