Question

A current of 1.5A passes through an aluminum wire of diameter 3mm what is the current density

Answer 1

Given ,

Current (I) = 1.5 Amp

Diameter (d) = 3 × 10^(-3) m

We know that ,

The amount of current passing through a unit cross-sectional area of the conductor is called current density

Mathematically ,

$\boxed{ \sf{Current \: density \: (J) = \frac{ I }{Area} }}$

Thus ,

$\tt : \mapsto J = \frac{1.5 \times 7}{22 \times {(1.5)}^{2} }$

$\tt : \mapsto J = \frac{7}{22 \times 1.5}$

$\tt : \mapsto J = \frac{7}{33}$

$\tt : \mapsto J = 0.21 \: \: Amp/ {m}^{2}$

The current density is 0.21 Amp/m²