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 = x, R = r and A = a
Therefore, ρ = ra / x
The unit of resistivity is ohm-metre (Ω-m).
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