A long conductor of circular cross-section has radius \( r \) and length \( l \) as shown in the...

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A long conductor of circular cross-section has radius \( r \) and length \( l \) as shown in the figure. The conductivity of the material near the axis is \( \sigma_{1} \) and increases linearly with the distance from axis and becomes \( \sigma_{2} \) near the surface. Find the resistance of the conductor if the current enters from the one end and leaves from the other end.
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