Resistivity

Electricity and Magnetism Level 2

The resistivity of the material of a conductor with uniform cross-sectional area varies with its length according to the relation ρ = ρ 0 ( a + b x ) . \rho = \rho_{0}(a+bx). Find the value of the resistance of the conductor.

L L is the length of the conductor and A A is the area of the cross-section.

ρ 0 A ( L + b L 2 2 ) \frac{\rho_{0}}{A} \left( L + b\frac{L^2}{2} \right) ρ 0 A ( L + a b L 2 2 ) \frac{\rho_{0}}{A} \left( L + ab\frac{L^2}{2} \right) ρ 0 A ( a L 2 + b L 3 3 ) \frac{\rho_{0}}{A} \left( aL^2 + b\frac{L^3}{3} \right) ρ 0 A ( a L + b L 2 2 ) \frac{\rho_{0}}{A} \left( aL + b\frac{L^2}{2} \right)

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Srinivasa Satti by Srinivasa Satti

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