# The resistance of a wire varies inversely as its cross-sectional area. Which has a higher resistance: thick wire or thin wire? The resistance of a 2.5 mm radius wire is 5.62 ohms. What is the resistance of a wire of the same material whose radius is 4.25 mm?

1
by onedvashappen

2014-07-10T23:19:06+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
, where R=resistance , A=area, k=constant of variation

A thick wire would have less resistance than a thin wire.

Manipulating the equation will give us

Since

Given: R₁ = 5.62 Ω    r₁=2.5mm
R₂ = ?           r₂=4.25mm

Have you seen the revised answer yet? Please tell me if i made another mistake. Haha
Oh man. I do have another mistake. A thicker wire would have LESS resistance than a thinner one
Really sorry about that. SInce the area is in the denominator, greater area would result to less resistance. It's also proven by the problem we just solved.
its okay haha you had the same answer as mine, soo, i think its correct and yes, its less resistance than the thin wire. Thank you again! I didn't quite understand the formulas before, but thanks to you i got to check my answer haha :)
Glad to be of help :) To commit all those mistakes, I'm probably too sleepy to be solving problems such as this haha. Good luck with your studies! ;)