Question: A material of resistivity p is formed into the shape of a truncated cone of altitude h as shown in Figure P27.72. The bottom end

A material of resistivity p is formed into the shape of a truncated cone of altitude h as shown in Figure P27.72. The bottom end has radius b, and the top end has radius a. Assume that the current is distributed uniformly over any circular cross section of the cone, so that the current density does not depend on radial position. (The current density does vary with position along the axis of the cone.) Show that the resistance between the two ends is described by the expression

R = ab

R = ab

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