A material of non-uniform resistivity ?=Az (z is the vertical direction) is in t

Question

A material of non-uniform resistivity ?=Az (z is the vertical direction) is in the

shape of a truncated right cone as shown. Assume that the radial distribution

of the current is uniform show that R =[SHOWN IN THE IMAGE BELOW] across the top and bottom surfaces.

A material of non-uniform resistivity ?=Az (z is the vertical direction) is in the shape of a truncated right cone as shown. Assume that the radial distribution of the current is uniform show that R =[SHOWN IN THE IMAGE BELOW] across the top and bottom surfaces.

Explanation / Answer

R = Ah^2 {Ln(a/b) - (a-b)/a }/Pi (a-b)^2

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