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  4. A uniform wire of resistance R is uniformly compressed along its length until its radius becomes n times the original radius. Now the resistance of the wire becomes

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Q. A uniform wire of resistance $R$ is uniformly compressed along its length until its radius becomes $n$ times the original radius. Now the resistance of the wire becomes

KCETKCET 2000Current Electricity

Solution:

Volume before compression = Volume after compression
$i.e.$ $\pi r^2$L = $\pi(\pi r)^2 $ L' $i.e.$ L' = $\frac{L}{n^2}$