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Current density is

  • A.a scalar quantity
  • B.a vector quantity
  • C.dimensionless
  • D.None of the above

Answer: B

Current density is a vector quantity.

Current density \(\vec{J}\) is the current per unit cross-sectional area at a point, with a direction: the direction in which positive charges flow there. It is measured in amperes per square metre and is related to current by \(I = \int \vec{J} \cdot d\vec{A}\).

Current itself is treated as a scalar, but current density is a vector. It is not dimensionless, since it has units of A/m2.

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