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If current is a scalar quantity then why current density is a vector quantity..???

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Current is scaler because it is produced due to drift movement of charge and current density is vector because current per unit area which means in particular wire current flows,and that wire have particulare surface area,so this surface area have its normal vector which is perpendicular to that surface...
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Current is scaler because it is produced due to drift movement of charge and current density is vector because current per unit area which means in particular wire current flows,and that wire have particulare surface area,so this surface area have its normal vector which is perpendicular to that surface area, so j=I/A(vector) ,any scaler quantity divided by vector is vector quantity. So current density is vector quantity read less

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current is the dot product between area (a vector) and current density (vector) hence the result is scalar.

because current density follow law of vector addition

because it obeys the definition of vector.

current doesn't follow vector addition and decomposition law,so it is not a vector.Current density is a vector quantity.

Conceptual Maths Faculty

Current is scalar quantity as its doesn't obey triangle law of add however current passing throughunit area in unit time is current density as for infinitesimal area

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience



Actually current density is current per unit area. The area taken over here is the area vector which has its own magnitude and direction(directed normal to the projected area)

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