Practice mode Current Electricity

A uniform wire of resistance R is stretched so that its length doubles while its volume stays the same. What is its new resistance?

Correct answer B. 4R

Explanation

If length doubles at constant volume, the cross-sectional area halves. Using R = ρL/A, the new resistance is ρ(2L)/(A/2) = 4ρL/A = 4R.

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