First slide
Resistors
Question

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 :

Easy
Solution

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

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