How does the resistance (R) of a wire depend upon its radius (r)? - Vidyadip

Question

How does the resistance $(R)$ of a wire depend upon its radius $(r)?$

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Answer

$\text { As } R \propto \frac{1}{A} \propto \frac{1}{\pi r^2}\left(\because A=\pi r^2\right)$
$R \propto \frac{1}{r^2}(\because \pi=\text { constant })$

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