Stretching of Copper Wire and Resistance – Rankers Physics
Topic: Current Electricity
Subtopic: Basics of Current

Stretching of Copper Wire and Resistance

If a copper wire is stretched to make it 0.1% longer, the percentage increase in resistance will be:
0.2%
2%
1%
0.1%

Solution:

Resistance of a stretched wire of constant volume is proportional to the square of its length: \( R \propto l^2 \). Thus, \( \frac{\Delta R}{R}\text{ (%)} = 2 \frac{\Delta l}{l}\text{ (%)} = 2 \times 0.1\% = 0.2\% \).

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