To find the current density, we need to use the formula:

J = I / A

where:
J = current density
I = current
A = area of the wire

The area of a wire can be found using the formula for the area of a circle (since the cross section of a wire is a circle):

A = πr²

where r is the radius of the wire. The radius is half the diameter, so for the aluminium wire, r = 0.24 cm / 2 = 0.12 cm.

First, we need to convert the radius from cm to m (since we're working with SI units), so r = 0.12 cm * 0.01 = 0.0012 m.

Now we can find the area of the aluminium wire:

A = π * (0.0012 m)² = 4.52 * 10^-6 m²

Finally, we can find the current density:

J = I / A = 10 A / 4.52 * 10^-6 m² = 2.21 * 10^6 A/m²

So, the current density in the aluminium wire is 2.21 * 10^6 A/m².

Question

To find the current density, we need to use the formula:

J = I / A

where:
J = current density
I = current
A = area of the wire

The area of a wire can be found using the formula for the area of a circle (since the cross section of a wire is a circle):

A = πr²

where r is the radius of the wire. The radius is half the diameter, so for the aluminium wire, r = 0.24 cm / 2 = 0.12 cm.

First, we need to convert the radius from cm to m (since we're working with SI units), so r = 0.12 cm * 0.01 = 0.0012 m.

Now we can find the area of the aluminium wire:

A = π * (0.0012 m)² = 4.52 * 10^-6 m²

Finally, we can find the current density:

J = I / A = 10 A / 4.52 * 10^-6 m² = 2.21 * 10^6 A/m²

So, the current density in the aluminium wire is 2.21 * 10^6 A/m².

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