Question

A copper wire has a resistivity of 1.68 x 10^-8. What is
the resistance of this wire when it is 1.5 miles long and
has a diameter of .012 inches?

Answer 1

Answer:

resistance of the given copper wire is 0.055 ohm

Explanation:

As we know that the resistance of the conductor is given as

$R = \rho\frac{L}{A}$

here we know that

$L = 1.5 miles = 2413.5 m$

$diameter = 0.012 inch$

$diameter = 0.03 cm$

now the resistance is given as

$R = (1.68\times 10^{-8})\frac{2413.5}{\pi(0.015\times 10^{-2})^2}$

so we have

$R = 0.055 ohm$