To find the current density, we need to calculate the cross-sectional area of the copper wire.

Step 1: Calculate the radius of the wire.
The diameter of the wire is given as 1 mm. To find the radius, we divide the diameter by 2.
Radius = 1 mm / 2 = 0.5 mm = 0.0005 m

Step 2: Calculate the cross-sectional area of the wire.
The cross-sectional area of a wire can be calculated using the formula:
Area = π * radius^2
Area = π * (0.0005 m)^2

Step 3: Calculate the current density.
Current density is defined as the current passing through a unit area.
Current density = Current / Area
Current density = 5 A / (π * (0.0005 m)^2)

Now, you can calculate the current density using the given values.

Question

To find the current density, we need to calculate the cross-sectional area of the copper wire.

Step 1: Calculate the radius of the wire.
The diameter of the wire is given as 1 mm. To find the radius, we divide the diameter by 2.
Radius = 1 mm / 2 = 0.5 mm = 0.0005 m

Step 2: Calculate the cross-sectional area of the wire.
The cross-sectional area of a wire can be calculated using the formula: 
Area = π * radius^2
Area = π * (0.0005 m)^2

Step 3: Calculate the current density.
Current density is defined as the current passing through a unit area. 
Current density = Current / Area
Current density = 5 A / (π * (0.0005 m)^2)

Now, you can calculate the current density using the given values.

Knowee AI · Accepted Answer

To find the current density, we need to calculate the cross-sectional area of the copper wire.

Step 1: Calculate the radius of the wire.
The diameter of the wire is given as 1 mm. To find the radius, we divide the diameter by 2.
Radius = 1 mm / 2 = 0.5 mm = 0.0005 m

Step 2: Calculate the cross-sectional area of the wire.
The cross-sectional area of a wire can be calculated using the formula: 
Area = π * radius^2
Area = π * (0.0005 m)^2

Step 3: Calculate the current density.
Current density is defined as the current passing through a unit area. 
Current density = Current / Area
Current density = 5 A / (π * (0.0005 m)^2)

Now, you can calculate the current density using the given values.

If a copper wire with a diameter of 1 mm carries a current 5A, what is the current density?

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