Question

A number 16 copper wire has a diameter of 1.291 mm. Calculate the resistance of a 37.0 m long piece of such wire.

(Use 1.72×10-8 Ωm for the resistivity of copper.)

Answer 1

The resistance of the 37.0 m piece of 16-gauge copper wire is approximately 4.237 × 10^-5 ohms.

Step-by-step explanation:

To calculate the resistance of the copper wire, we need to use the formula:

Resistance = (Resistivity * Length) / Area

First, we need to calculate the area of the wire using its diameter:

Area = (π * diameter^2) / 4

Then, we can substitute the values into the resistance formula:

Resistance = (1.72×10^-8 * 37)/(π * (1.291/2)^2/4)

After evaluating the expression, we find that the resistance of the 37.0 m long piece of 16-gauge copper wire is approximately 4.237 × 10^-5 ohms.