Calculation of delay and rise times for uniformily distributed RLC line

In this theoretical paper, simple explicit delay and rise time expressions for a uniformly distributed RLC line are presented. Derivation of these expressions are based on Elmore´s definitions. The transfer function for an n-cell RLC ladder network with capacitive load is obtained by using the transmission parameter matrix for each cell. In the calculation of the transfer function, the transmission line is modeled by a lumped parameter network. Explicit delay and rise time formulas are computed from the transfer function using Elmore´s definitions. Examples are included to illustrate the use of the formulations given for delay and rise times. As a special case, the proposed expressions are verified with the SPICE 5 circuit analysis program for n=2, 3, 5-cell ladder networks loaded with a capacitor