What is the change in resistance of a wire which is stretched triple its length?


The resistance of a wire is inversely proportional to its area and directly proportional to its length.

  • When the length is tripled then resistance will also become three times.
  • If The wire is stretched 3 times the original length, the cross-section of the wire is cut to 1/3rd it’s the original cross-section.

Since the resistance of a wire is given by

R = ρl/A


  • ρ = Resistivity of the wire
  • l = Lenght of wire
  • A = Cross-section of the wire

The length while cutting the cross-section by 3x, the new resistance will be 9 times the original resistance.

Articles to Explore:

  1. Factors on which the specific resistance of a wire depends
  2. What are the factors affecting resistance?

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