Effect of cable shield resistance on the electromagnetic coupling of lightning to a cable above a ground plane

An analysis of the voltage induced onto the inner wire of a cable above a ground plane shows that this voltage does not depend on the resistance of the cable shield at frequencies below the R/L break frequency, where the current is limited by the shield resistance and above the R/M break frequency, where the current is limited by the shield´s self inductance. In the frequency range between the break frequencies, roughly from 5 kHz to 1 MHz, the current is limited by the loop inductance, and the induced voltage is proportional to the shield´s resistance. For the waveforms and conditions considered in this study, the peak amplitude of the induced time domain waveform should also be proportional to the shield resistance.