Resistivity of a wire depends upon

This question was previously asked in
UKPSC JE Electrical 2013 Official Paper I (Held on 7 Nov 2015)
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  1. Material
  2. Area
  3. Length
  4. All of these

Answer (Detailed Solution Below)

Option 1 : Material
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UKPSC JE CE Full Test 1 (Paper I)
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Detailed Solution

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CONCEPT:

The resistance (R) of a conducting wire depends upon the length of wire, cross-sectional of the wire, and its resistivity.

Resistance is directly proportional to the length of the conductor and Inversely proportional to the cross-sectional area.

\(R = ρ \frac{l}{A}\)

Where l is the length of the conductor, a is the cross-sectional area of the conductor, ρ is resistivity. 

Resistivity: The resistivity is the resistor depends upon the nature of the conductor and temperature. ∴ Material 

Resistivity is the same for given conducting material at a given temperature and does not depend upon dimensions of wire.

If a wire is stretched, its volume remains the same

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