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A spherical shell has an inner diameter of r1 and outer diameter of r2. In between...

A spherical shell has an inner diameter of r1 and outer diameter of r2. In between the conductive material has a resistivity of p (rho).

a) Assume that current flows along the radial direction. Calculate the resistance between the inner and the outer surfaces of the shell. Express your result in terms of r1, r2, p, and any physical/mathematical constants.

b) A voltage V is applied between the outer- and the inner surfaces. Calculate the current density at distance r (r1 < r < r2) from the center. Express your results in terms of V, r1, r2 and p, and any physical/mathematical constants.

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