Understand Why Current Is Defined as a Scalar

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Homework Statement



Why has current been defined to be a scalar?


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The Attempt at a Solution



No idea whatsoever!
 
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Current density , as you know, is a vector. Current flowing across a fixed piece of surface is the integral of the current density over the surface(=(int)J.dA). Thus,the current is a scalar (but may depend on time).
 
Because it is defined as the number of charges moving through the cross-sectional area of the wire per time unit.