The region between two concentric conducting spheres with
Chapter 25, Problem 25.66(choose chapter or problem)
The region between two concentric conducting spheres with radii a and b is filled with a conducting material with resistivity \(\rho\). (a) Show that the resistance between the spheres is given by
\(R=\frac{\rho}{4 \pi}\left(\frac{1}{a}-\frac{1}{b}\right)\)
(b) Derive an expression for the current density as a function of radius, in terms of the potential difference \(V_{a b}\) between the spheres. (c) Show that the result in part (a) reduces to Eq. (25.10) when the separation L = b - a between the spheres is small.
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