This is a companion paper to one by Gabriel Kron. Particular cases of circuits in two independent variables are used. Test of these circuits by numerical substitution of known simple solutions indicates that the mesh size in the circuits need not be excessively small in order to give a useful accuracy of results. By trial of the a-c network analyzer, in similar cases, limitations on the use of the analyzer in its present form for the solution of elastic-field problems are studied. Finally, it is found by trial that solution of the circuits by hand, using a “relaxation” method, is practicable; and in this way the desirable objective of a solution of the elastic-field problem directly from given boundary conditions is achieved.