The conductor is made of aluminum, the resistivity of which is 0.028 ohm * mm squared / m, the cross-sectional area

The conductor is made of aluminum, the resistivity of which is 0.028 ohm * mm squared / m, the cross-sectional area of the conductor is 2 mm squared. What is the length of the conductor if its resistance turned out to be 14 ohms.

Given:

R = 14 Ohm – total conductor resistance;

s = 2 square millimeters – conductor cross-sectional area;

r = 0.028 Ohm * mm2 / m is the resistivity of the conductor.

It is required to determine l (meter) – the length of the conductor.

To determine the length of the conductor, you must use the following formula:

R = r * l / s, from here we find:

l = R * s / r = 14 * 2 / 0.028 = 28 / 0.028 = 1000 meters (1 kilometer).

Answer: the length of the conductor is 1000 meters (1 kilometer).