We are given three copper wires of different lengths and different are

We are given three copper wires of different lengths and different areas of cross-section. Which one of the following would have highest resistivity ?

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Copper wire of 50 cm length and 1 mm diameter

Copper wire of 25 cm length and 0.5 mm diameter

Copper wire of 10 cm length and 2.0 mm diameter

All the wires would have same resistivity

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC CDS-1 – 2021

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Resistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section).

– The resistance (R) of a wire is given by the formula R = ρ * (L/A), where ρ is the resistivity, L is the length, and A is the area of cross-section.
– While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (ρ) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.

– Resistance is an extrinsic property that depends on both the material’s resistivity and its physical dimensions.
– Resistivity is an intrinsic property specific to the material itself.

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