Edge condition of a perfectly conducting wedge with its exterior region divided by a resistive sheet

The edge condition for a perfectly conducting wedge which has its exterior region divided by a resistive sheet is derived. It is shown that the behavior of an electromagnetic field at the edge is altered as a result of the appearance of the resistive sheet but is independent of the resistance value. In particular, the singularities in the electric field components transverse to the edge in the absence of the resistive sheet have been eliminated. This assures the finiteness of the energy dissipated on the resistive sheet in the vicinity of the edge.