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)?
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 DR=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