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The resistance of 1.5km of wire of cross sectional area 0.17mm² is 150ohms. Determine the resistivity of the wire ?
Anonymous
Mar 23
The resistance of 1.5km of wire of cross sectional area 0.17mm² is 150ohms. Determine the resistivity of the wire ?
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ChatGPT
Mar 23
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.
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.
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