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Question

Which among the following equations give the correct relation between Resistance(R), length of conductor(L), Area of cross-section of the conductor(A) and resistivity (ρ)?
  1. R=LA×ρ
  2. R=A×Lρ
  3. R=A×ρL
  4. R=ρ×LA


Solution

The correct option is D R=ρ×LA
Resistance of the conductor depends
(i) on its length,
(ii) on its area of cross-section, and
(iii) on the nature of its material.
Measurements have shown that resistance of a uniform metallic conductor is directly proportional to its length (L) and inversely proportional to the area of cross-section (A).
RαLRαLAR=ρ×LA

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