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In a metal of conductivity σ the electric current density, J, is related to the electric field, E, through J=σE. In the case of a cubic metal (such as the alkalis or group IB metals) G is a scalar and the current everywhere follows the lines of electric field. When a magnetic field is applied, the Lorentz force qv x H/c acts on the charge-carriers q (usually electrons) tending to displace the lines of current flow. The initial displacement of current flow generally gives rise to an electric field tending to oppose further displacement; this electric field is the Hall …
