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AndyF said:Yes, there is a local bounce where the lighning strikes, and it may be possible for it to get a meter or so down the shaft.
The key thing with the "Blitz" example is the telephone line, that draws on the mine shaft analogy. Caves usually won't have such a conductor, but may possibly have a wet rope (!)
The cattle dying is more complex, as they are above ground. During a lighning strike, the local potential may be a few hundred volts per inch above ground, so a cow being say 5 feet high may have a potential difference of several thousand volts from toe to tail and it is this IMO that would cause the death. Doubt that a cow lying down would die. This is why people are told to lie down if caught in the open.
I seem to recal this being documented on the Gahr Paru expeditions, where severl strikes were experienced at the entrance.
The potential difference across the length of a body idea is correct.
But it is a 3 dimensional field so also applies radially from the strike point.
So simply lying down does not reduce the risk; worst case is that you feet are twordas the strike and your head away, and then you have a potential difference along the steepest gradient of the electric field - along the 6ft or so of your body.
That's why the instructions suggest that if out in the open you should also curl into a ball with your lower back/arse as your highest point - shortest path is arse to knees!