Energy loss and storage in RC-transmission lines

The distribution of energy supplied by a step-voltage generator to a semi-infinite transmission line with uniform series resistance and shunt capacitance is investigated; and explicit (simple integral) representations for both line and generator losses as well as the line storage during an arbitrary time interval are given. A relatively greater loss due to internal resistance of the generator obtains in the initial phase of excitation while that due to resistance of the line predominates in the long run. A larger proportion of energy is stored in the line at the outset and, ultimately, the output of the generator is equally divided between line loss and storage in its internal capacitance.