Recently we presented an analytical solution for the 3D configuration of a cylindrical coil at the edge of a conductive block and calculated the impedance variation with position relative to the edge. Since then we have been seeking ways to improve and extend the analytical and numerical treatment of this canonical problem. In the present paper, several extensions to previous work are presented including a modification to the expressions for the field potentials in double series form and the generalization of the field source to coils of arbitrary shape and orientation. Experimental results involving a cylindrical coil of arbitrary tilt are shown to verify the calculations.