The current density in a cylindrical wire of radius \( 4 \mathrm{~mm} \) is \( 4 \times 10^{6} \...

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The current density in a cylindrical wire of radius \( 4 \mathrm{~mm} \) is \( 4 \times 10^{6} \mathrm{Am}^{-2} \). The current through the outer portion of the wire between radial distance \( \frac{R}{2} \) and \( R \) is \( \pi \mathrm{A} \).
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