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Question

A wire of resistivity $$\rho$$ is stretched to double its length what will be its new resistivity?


Solution

  • Resistivity is a property of the material which does not depend upon the length or cross-sectional area of the wire.
  • Thus increasing the length will not affect the resistivity of the wire.
  • Hence the new resistivity of the wire will be the same i.e $$\rho$$.

$$\textbf{Note:}$$ On changing dimensions, Resistivity does not change but Resistance of the wire changes, as $$R = \cfrac{\rho\ l}{A}$$


Physics

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