Determine the specific resistance of the conductor if its length is 50 cm, cross-sectional

Determine the specific resistance of the conductor if its length is 50 cm, cross-sectional area is 20 mm, with a resistance of 4 Ohms.

Given:

l = 50 centimeters – conductor length;

s = 20 mm2 (square millimeters) is the specific cross-sectional area of the conductor;

R = 4 Ohm – conductor resistance.

It is required to determine r (Ohm * mm2 / m) – the resistivity of the conductor.

We will convert the units of measurement of length to the SI system:

l = 50 cm = 50 * 10-2 = 50/100 = 0.5 meters.

Then, to determine the resistivity, you must use the following formula:

r = R * s / l;

r = 4 * 20 / 0.5 = 80 / 0.5 = 160 Ohm * mm2 / m.

Answer: the specific resistance of the conductor is 160 Ohm * mm2 / m.