Answer:
the length of the wire is 134.62 m.
Explanation:
Given;
resistivity of the copper wire, ρ = 2.6 x 10⁻⁸ Ωm
cross-sectional area of the wire, A = 35 x 10⁻⁴ cm² = ( 35 x 10⁻⁴) x 10⁻⁴ m²
resistance of the wire, R = 10Ω
The length of the wire is calculated as follows;
![R = \frac{\rho L}{A} \\\\L = \frac{RA}{\rho} \\\\L= \frac{10 \times (35\times 10^{-4}) \times 10^{-4}}{2.6 \times 10^{-8}} \\\\L = 134.62 \ m](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B%5Crho%20L%7D%7BA%7D%20%5C%5C%5C%5CL%20%3D%20%5Cfrac%7BRA%7D%7B%5Crho%7D%20%5C%5C%5C%5CL%3D%20%5Cfrac%7B10%20%5Ctimes%20%2835%5Ctimes%2010%5E%7B-4%7D%29%20%5Ctimes%2010%5E%7B-4%7D%7D%7B2.6%20%5Ctimes%2010%5E%7B-8%7D%7D%20%5C%5C%5C%5CL%20%3D%20134.62%20%5C%20m)
Therefore, the length of the wire is 134.62 m.