Which of the following statements about electrical resistance in cables is true?

The statement that electrical resistance in cables doubles with length is rooted in the fundamental principles of electrical conductivity. Resistance is a property that quantifies how much a material opposes the flow of electric current. For a uniform conductor, the resistance is directly proportional to its length. This means that as the length of a conductor increases, the resistance increases as well, because electrons encounter more atoms along the longer path, increasing the likelihood of collisions that resist the flow of current.

This principle is derived from Ohm's Law and the equation for resistance, where resistance (R) is equal to resistivity (ρ) multiplied by the length (L) of the conductor, divided by the cross-sectional area (A). Thus, if you were to double the length of the conductor, the resistance would indeed double, thereby supporting the idea that resistance increases linearly with length.

While other options like insulation type can affect the overall performance and functionality of the cable, they do not change the fundamental relationship between resistance and the physical dimensions of the conductor itself. Factors such as the material's resistivity, temperature, and cross-sectional area certainly play roles, but the key takeaway is the linear relationship between length and resistance.