Current Density MCQ - Practice Questions & Answers

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Current Density

Current density

Current density: The amount of electric current flowing per unit cross-sectional area of a material.
It is a vector quantity.

If a current of $\Delta i$ flows through an area $\Delta A$ the average current density $\overline j=\frac{\Delta i}{\Delta A}$ in the direction of current

At point P :

$j=\lim_{\Delta A\rightarrow 0}\frac{\Delta i}{\Delta A}$ in the direction of current

If current not Perpendicular to Area

$J_{av}=\frac{di}{dA \cos\theta}$

$di=JdA \cos\theta=\vec{J}\cdot d\vec{A}$

$\theta$ is the angle between the normal to the area and direction of current

If the current density $\vec{J}$ is uniform for a normal cross-section $\vec{A}$ then

$i=\int \vec{J}.d\vec{A}$

Unit and dimension -

Unit of current density is $Amp/m^2$

DImension of current density is $[L^{-2}A]$

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Current Density - Practice Questions & MCQ

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