The resistance of 1.5km of wire of cross sectional area 0.17mm² is 150ohms. Determine the resistivity of the wire ?

To determine the resistivity of the wire, we can use the formula:

Resistance (R) = resistivity (ρ) x length (L) / cross sectional area (A)

Given:
Resistance (R) = 150 ohms
Length (L) = 1.5 km = 1500 m
Cross sectional area (A) = 0.17 mm² = 0.17 x 10^-6 m²

Plugging in the values:

150 = ρ x 1500 / 0.17 x 10^-6

ρ = 150 x 0.17 x 10^-6 / 1500
ρ = 0.017 x 10^-6
ρ = 1.7 x 10^-8 ohm.m

Therefore, the resistivity of the wire is 1.7 x 10^-8 ohm.m.