The method of difference equation recently employed by Prof. Chien Wei-zang in his treatment of continuous beams is applied here to the solution of electric circuit problem. The superiority of this method over the customary ones-viz. (1) classical method, (2) Heaviside transformation, (3) Fourier transformation, and (4) Laplace transformation,-lies in the fact that the tedious work of solving a large number of simultaneous equations in the customary methods is avoided. The present paper is confined to the problem of the continuous network. The investigation is divided into two parts: (1) the continuous net-work in steady state, (2) in transient state. In the first part, the chief result is