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What is the direction of current density?

Aniket Singh , 9 Months ago
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Askiitians Tutor Team

Last Activity: 9 Months ago

The direction of current density \( \mathbf{J} \) is the same as the direction of the flow of positive charge in a conductor. Mathematically, it is defined as:

\[
\mathbf{J} = \frac{I}{A} \hat{n}
\]

where:
- \( I \) is the current,
- \( A \) is the cross-sectional area through which the current flows,
- \( \hat{n} \) is the unit vector in the direction of the current flow.

For conventional current (flow of positive charges), the direction of current density is the same as the direction of the electric field in the conductor. If electrons are the charge carriers (as in most conductors), the current density vector \( \mathbf{J} \) points in the opposite direction to the flow of electrons.

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