Question

The resistivity of the material of a wire is 1.76 × 10-8 ωm. if the diameter of the wire is 2 × 10-3 m and its length is 2 m, what is its resistance?

Answer 1

The value of the resistance will be 0.001 ohm.The opposition force in the flow of the current is known as the resistance.

What is resistance?

The opposition force in te flow of the current is known as the resistance.It is denoted by R.The SI unit of the resistance is ohm.

The given data in the problem is;

$\rho$ is the  resistivity of the material of a wire = 1.76 × 10-8 ωm.

d is the diameter of the wire = 2 × 10⁻³ m

l is the  length = 2 m

R is its resistance=?

A is the area of the wire which is find as;

$\rm A = \frac{\pi}{4} d^2 \\\\ \rm A = \frac{3.14}{4}{( {2\times10^{-3})^2$

$\rm A =3.14 \times 10^{-6}$

The resistance is found as;

$\rm R= \rho \frac{L}{A} \\\\ R=1.76 \times 10^-8 \times \frac{2}{3.14 \times 10^{-6}} \\\\ \rm R=0.001 ohm$

Hence the value of the resistance will be 0.001 ohm.

To learn more about the resistance refer to the link;

https://brainly.com/question/20708652