A long conductor of circular cross-section has radius r and length ℓ as shown in the figure. The conductivity is σ₁ at the axis and increases linearly with distance from the axis to σ₂ at the surface. Find the resistance of the conductor when current enters through one end and leaves through the other.

Physics · Current electricity · Electric Current, Drift Velocity & Resistance

JEE Advanced

A long conductor of circular cross-section has radius r and length ℓ as shown in the figure. The conductivity is σ₁ at the axis and increases linearly with distance from the axis to σ₂ at the surface. Find the resistance of the conductor when current enters through one end and leaves through the other.

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