Doubling a cable's length has what effect on the cable's electrical resistance?

The correct answer is that doubling a cable's length will double its electrical resistance. This relationship stems from the fundamental principles of electrical resistance as described by Ohm's Law and the specific material properties of the conductor used.

Electrical resistance is directly proportional to the length of a conductor. When the length of a conductor, such as a cable, is increased, the electrons flowing through it encounter more resistance due to an increased number of atomic interactions along that longer path. This means that as you double the length of the cable, the resistance encountered by the electrical current also doubles because it has to travel twice as far, encountering the inherent resistance of the material over a longer distance.

In contrast, if the cable's resistance were to halve, triple, or remain the same, it would imply a fundamentally different relationship between length and resistance, which does not align with the established principles of electrical conductivity. Thus, the understanding that resistance increases with an increase in length is crucial in cable installation and design, ensuring that performance characteristics like signal integrity and power efficiency are maintained.