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The resistance of a wire does not depend on

  • A.Length of the wire
  • B.Cross sectional area of the wire
  • C.Nature of the material of the wire
  • D.On the applied potential difference

Answer: D

Resistance does not depend on the applied potential difference.

For a wire at constant temperature, R = ρL/A: it depends on the length L, the cross-sectional area A and the resistivity ρ of the material. Increasing the potential difference increases the current in proportion (Ohm's law), but the ratio V/I, the resistance, stays the same.

Length, area and the nature of the material all appear in the formula, so they do affect resistance.

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