Use the diagram below for the next problem:
-Two copper wires have the same volume,but wire 2 is 20% longer than wire 1.The ratio of the resistances of the two wires R₂/R₁ is

Question

Use the diagram below for the next problem:

-Two copper wires have the same volume,but wire 2 is 20% longer than wire 1.The ratio of the resistances of the two wires R₂/R₁ is

Quizplus · Accepted Answer

The resistance of a wire is proportional to its length and inversely proportional to its cross-sectional area. Since both wires have the same volume, the cross-sectional area of wire 2 is less than that of wire 1. If wire 2 is 20% longer, its cross-sectional area is reduced by the same factor, leading to a higher resistance. The resistance ratio is calculated as (1.2)^2 = 1.44, which is approximately 1.4.

Use the Diagram Below for the Next Problem