Systems consisting of two‐dimensional semi‐infinite slabs in front of conducting or insulating planes are examined. The slabs which are symmetric may either be thick or thin and of rather general shape. Some of these systems may be identified with magnetic recording head systems, while others are complementary to systems examined by Sproston [IEE Proc.129, 619 (1982)] and Gibbings [J. Electrostat.6, 121 (1979)]. Four examples are treated giving the behavior of a dimensionless intensity over their geometrical surfaces. On the conducting plane of certain types of systems, it is seen that the intensity may be approximated quite well by that due to an ideal rectangular slab and also that it decreases along the plane faster than that due to the ideal slab.