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A material of resistivity ρ is formed in the shape of truncated cone of altitude ‘h’ as shown in the fig. the top end has radius ‘a’ while bottom ‘b’. Assuming a uniform current density through any circular cross section of the cone. The resistance between two ends is :

a
ρhab
b
ρhπab
c
ρaπhb
d
ρbπah

detailed solution

Correct option is B

Effective area of frustum  A=A1A2=πa2.πb2=πab Now apply formula of resistance ∴  R=ρhA=ρhπab

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