A copper wire with a fixed length and resistance is stretched to three times its original length without altering its volume. What will be the new resistance of the wire?

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Published
28 Jun 2018
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28 May 2026

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Explanation

When a wire is stretched to three times its length while keeping the volume constant, its cross-sectional area decreases by a factor of three squared (9). Since resistance is proportional to length and inversely proportional to area, the new resistance becomes 3 (length factor) multiplied by 9 (area factor inverted), resulting in nine times the original resistance.

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