This work considers the problem of characterizing the response of a cable bundle in the presence of an external electromagnetic field when the orientation of the cable is not well defined or is unknown. To do this, cable bundles are modeled as multiconductor transmission lines. Because of the random nature of the cable, an exact solution is not in general possible. Therefore a solution is approximated by segmenting the cable into a number of small uniform sections that can be solved and combined to form an overall solution. The orientation of these sections is allowed to vary randomly, thereby modeling the various twists and bends that may be found in a practical application. The line is excited by an external electromagnetic field. The voltages and currents generated at the terminations of the cable are calculated using a numerical approach to solve the multiconductor transmission line equations in the frequency domain. Because the exact positioning of the cable is not known, statistical data for the response are needed. To obtain statistical data, a large number of randomly generated cables are generated and solved.