Question

A wire whose length 1m and 2mm in diameter and having resistance of 2ohm then calculate resistivity?

Answer 1

The resistivity of the wire is ρ = 2 x 10^-6 Ω / m

Explanation:

Resistance "R" = 2 ohm

Length of wire = 1 m

Diameter =  2 mm = 2/ 1000 = 2 x 10^-3 m

Radius "R" = d /2 = 2 x 10^-3 / 2 = 10^-3 m

R = ρ L/ A = ρ l / (A)^2

2Ω = ρ x 1 / (10^-3)^2

2 = ρ x 1/10^-6

ρ = 2 x 10^-6 Ω / m

Thus the resistivity of the wire is ρ = 2 x 10^-6 Ω / m

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