A Closed-Form Expression for the Energy Dissipation in a Low-Loss Transmission Line

An uncharged two-conductor transmission line is considered whose ends are terminated in resistances. Initially the line is assumed to be charged along its length for a time interval that is short compared to the transit time along the line, as in the case of a cable irradiated with x rays. It is shown that the distribution of the subsequent energy dissipation in the line and its terminations can be calculated in closed form if the line is assumed to have low losses. The result here is of interest in some internal electromagnetic pulse (IEMP) problems.