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The resistance of a conductor of length x is r. If its area of cross-section is a, what is its resistivity? What is its unit?

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We know R = ρ(L/A)

∴  Resistivity of a conductor, ρ = RA / L

Here, L = xR = r and A = a

Therefore, ρ = ra / x

The unit of resistivity is ohm-metre (Ω-m).

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