Find the correct relation between the resistance $(R), (ρ) resistivity, A (area of cross section) and L (length)$ of a conductor, for a cylinder of length l and area of cross-section A?

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R = ρ L / A

R = L / A ρ

R = ρLA

R = ρ A / L

answer is A.

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Detailed Solution

The correct relation between resistance (R),(ρ) resistivity, A (area of cross-section), and L (length) of a conductor, for a cylinder of length l and area of cross-section A, is

R = \frac{ρ L}{A}

where ρ is the resistivity of the material,

L = length of cylinder, A = area .

The conductor's resistance is influenced by its length and cross-sectional area, respectively.
A conductor's resistance is directly correlated with its length (L) and inversely correlated with its cross-sectional area (A), according to measurements.

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