All Problems

Electric Current

Problem 3.154

A homogeneous poorly conducting medium of resistivity ρ\rho fills up the space between two thin coaxial ideally conducting cylinders. The radii of the cylinders are equal to aa and b,b, with a<b,a< b, the length of each cylinder is ll. Neglecting the edge effects, find the resistance of the medium between the cylinders.

Reveal Answer
R=(ρ/2πl)ln(b/a)R=(\rho / 2 \pi l) \ln (b / a)