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Questions  

Resistivity of the material of a conductor of uniform cross-section varies along its length as P=P0(1+αx) . Find the resistance of the conductor, if its length is l   and area of cross-section A.

a
ρoℓA[1+αℓ2]
b
ρoℓA[1+αℓ]
c
ρoℓA[1+αℓ22]
d
ρoℓA[1+2αℓ]

detailed solution

Correct option is A

R=∫0lρ dxA =∫olρoA(1+αx) dx =ρoA (l+αl22)R=ρolA (1+αl 2)

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