Wierd wire

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In a cylindrical wire of length 1 m 1m and radius 0.01 m 0.01m , resistivity of the wire varies with the radial distance from the axis of the wire as:

ρ = c x 2 \rho = \frac{c}{x^{2}}

where c = 3.142 × 1 0 8 Ω m 3 c= 3.142 \times 10^{-8} \Omega m^{3} .

Find the approximate resistance of wire across its ends (in Ω \Omega ) .


The answer is 2.

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