Question

Resistance of a metal wire of length 1 m is 26 ohm at
20°C. If the diameter of the wire is 0.3 mm, what will
be the resistivity of the metal at that temperature?​

Answer 1

Resistivity=RA/l

where

R - Resistance ; A - Area of cross-section

l - length of conductor

A= πr^2 = π x (0.3 x 10^-3/2)^2= π (1.5 x 10^-4) m^2

Given

R=26ohm ; A= π (1.5 x 10^-4) m^2 ; l= 1m

Therefore,

Resistivity = 26 x π ( 1.5 x 10^-4)/1

= 26 x 22/7 ( 1.5 x 10^-4)/1

= 1.83 x 10^-6 ohm m

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