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Question

Which among the following equation gives the correct relation between resistance (R), length of conductor (L), area of the cross-section of the conductor (A) and resistivity(ρ)?

A

R=LA×ρ

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B

R=A×ρL

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C

R=A×Lρ

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D

R=ρ×LA

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Solution

The correct option is D

R=ρ×LA


Resistance of the conductor depends on,
(i) its length, and
(ii) its area of cross-section.
Measurements have shown that resistance of a conductor is directly proportional to its length (L) and inversely proportional to the area of cross-section (A).
i.e R α L and R1A
R α LA
or R=ρ × LA, where ρ is the proportionality constant, i.e. resistivity.


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