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

$R = \frac{L}{A \times ρ}$

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$R = \frac{A \times ρ}{L}$

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$R = \frac{A \times L}{ρ}$

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$R = \frac{ρ \times L}{A}$

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Solution

The correct option is D
$R = \frac{ρ \times L}{A}$

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).
$R α L R α \frac{L}{A} R = \frac{ρ \times L}{A}$

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Similar questions

Which among the following equations give the correct relation between resistance(R), length of the conductor(L) and area of cross-section of the conductor(A)?

Q. The resistance

R

in terms of length

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Q. The specific resistance

ρ

of a circular wire of radius r, resistance R, and length l is given by

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. Given:

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

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