You can try to model the circuit in LTSpice. Consider that inductance of 1cm thick wire 80cm long is 800 nH, some ohmic resistance, known source pulse shape, series resistance of source, leakage inductance of secondary coil of transformer, etc. Also environment can matter, say if surface of table on which wires go over is sheet steel, so it adds up an inductance.
The calculator for inductance of straight wire:
http://www.consultrsr.net/resources/eis/induct5.htmWell, the return wire is cancelling the inductance, except the area of long narrow loop. So the inductance can be may be 10 times less. It should be possible to measure inductance with LCR meter.
Edit: Oh. And it can possibly be also a skin effect. At 60 Hz the depth is limited to 8.5mm. With 5ms pulses the major energy is at 200Hz. So skin effect worsens.