A hollow cylindrical resistor of length \(L\), inner radius \(a\), and outer radius \(b\) is made of a material with uniform resistivity \(\rho\).

In Configuration 1, conducting caps are attached to the inner surface at \(r = a\) and outer surface at \(r = b\), resulting in a radial current flow with resistance \(R_{\text{rad}}\).

In Configuration 2, conducting caps are attached to the flat end faces at \(z = 0\) and \(z = L\), resulting in an axial current flow with resistance \(R_{\text{ax}}\).

What is the ratio \(\dfrac{R_{\text{rad}}}{R_{\text{ax}}}\)?