Q17 of 31 Page 252

A wire of length 1m and radius 0.1 mm has a resistance of 100Ω. Find the resistivity of the material.

Given - R = 100 ohm;

l = 1 m


r = 0.1 mm = 0.0001 m


To find resistivity = ?


We know R = ρ l/A


ρ =


where A = cross sectional area


A = πr2


A = x 0.0001 x 0.0001


A = 0.00000022/7 m2


ρ =


Resistivity = 3.142 e-6 ohm.m


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