A New Method for Obtaining Transient Solutions of Electrical Networks

A new method for obtaining transient solutions of electrical networks is developed in this paper which depends upon the fact that a distortionless line can be made to approach as a limit all three of the circuit elements, resistance, inductance and capacity. The process of solution consists in solving for the current in a distortionless line--which is ordinarily a simple process--and then proceeding to the limiting case of the distortionless line which approaches the element or elements of interest. Some examples are worked out and a derivation of the Laplacian integral solution is given. It is interesting to note that this method gives a formal solution of the Laplacian integral equation.