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Calculate the area of cross-section of a wire if its length is 1.0 m, its resistance is 23 Ω and the resistivity of the material of the wire is 1.84 x 10^-6 Ωm.

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Calculate the area of cross-section of a wire if its length is 1.0 m, its resistance is 23 Ω and the resistivity of the material of the wire is 1.84 x 10-6 Ωm.

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I = 1.0 m

R = 23 ohm 

ρ = 1.84 x 10-6 ohm-meter

we have

R = ρ\(\frac{I}{A}\)

23 = 1.84 x 10-6 \(\frac{1}{A}\)

A = \(\frac{1.84 \times 10^{-6}}{23}\)

= 0.08 x 10-6 m2

= 8 x 10-8 m2

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