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The resistance of a metal wire of length 3 m is 60 n. If the area of cross-section of the wire is 4 x 10-2 m2 , calculate the electrical resistivity of the wire. - Science

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Question

The resistance of a metal wire of length 3 m is 60 Ω. If the area of cross-section of the wire is 4 × 10−2 m2, calculate the electrical resistivity of the wire.

Sum
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Solution

Given:

R = 60 Ω,

L = 3 m, and

A = 4 × 102 m2

We can rearrange the formula from part (i) to solve for electrical resistivity (ρ):

ρ = `R*A/L`

`p = (60xx4xx10^-2)/3 = 2.4/3 = 0.8 Ω⋅m`

p = 0.8 Ω × m

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2023-2024 (March) Delhi Set 1
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