Question
Download Solution PDFThe resistivity of a current-carrying conducting wire is p. If the wire is doubled in length and its area of cross-section is reduced by half, the new resistivity is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Resistivity
- Unit of resistivity is the ohm-meter (
). - The resistivity of a material depends on its nature and the temperature of the conductor.
- The resistivity of a material doesn't depend on its shape and size (length and area).
The resistance is given by:
Explanation:
From the above discussion, we can say that
- The resistivity of the material will not change (remain the same) as it is independent of the length or cross-section of the wire. So, Option 2 is correct.
- It is a material attribute rather than a dimensional one.
- The resistance will change but resistivity will remain the same.
Hence, the correct answer is Option-2-same as the old value.
Last updated on Jun 19, 2025
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