Concept

Current density

Summary
In electromagnetism, current density is the amount of charge per unit time that flows through a unit area of a chosen cross section. The current density vector is defined as a vector whose magnitude is the electric current per cross-sectional area at a given point in space, its direction being that of the motion of the positive charges at this point. In SI base units, the electric current density is measured in amperes per square metre. Definition Assume that A (SI unit: m2) is a small surface centred at a given point M and orthogonal to the motion of the charges at M. If I{{sub|A}} (SI unit: A) is the electric current flowing through A, then electric current density j at M is given by the limit: j = \lim_{A \to 0} \frac{I_A}{A} = \left.\frac{\partial I}{\partial A} \right|_{A=0}, with surface A remaining centered at M and ort
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