Final answer:
To find the resistance of the copper wire, use the formula R = σL/A, where σ is resistivity, L is the length of the wire, and A is the cross-sectional area of the wire. The resistance of the 24.0 m length of the copper wire is approximately 0.000014 Ω.
Step-by-step explanation:
To find the resistance of the copper wire, we can use the formula:
R = σL/A
where R is resistance, σ is resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.
First, we need to find the cross-sectional area using the diameter of the wire. The radius of the wire is half of the diameter, so the radius is 1.03 mm or 0.00103 m. The cross-sectional area, A, can be calculated using the formula for the area of a circle: A = πr^2. Plugging in the values, we get A ≈ 3.14159 x (0.00103)^2 ≈ 3.34 x 10^-6 m^2.
Next, we need to find the resistivity of copper. The resistivity of copper is typically around 1.68 x 10^-8 Ω-m. Finally, we can calculate the resistance using the given length of the wire, L. Plugging in the values, we get: R ≈ (1.68 x 10^-8 Ω-m) x (24.0 m) / (3.34 x 10^-6 m^2) ≈ 0.000014 Ω.