hardly a serious threat to humanity, much less THE END OF THE WORLD!
That was exactly the point of the movie. Never is it implied that the world ends. Rather, like Plato's allegory of the cave, the movie is about the perception of a small group of people holed up in an Australian cave, cut off from truth.
Wenders purposely chose Australia not just for the gorgeous scenery but also the history. Back in the 50s the British conducted some nuclear testing in Western Australia, and many of the aboriginies were never informed. To them, they thought it was the end of the world (and not just because of the radiation poisoning that came later). The point is, to an isolated community, the "end of the world" is a relative concept.
Going back to the Neper effect frying electromagnetic circuits, it doesn't take a 2000 kiloton hydrogen bomb to do the job. If you're close enough, even a small pulse will get you. In the movie, the delay between flash & sound was under 10 seconds. With the speed of sound @ 640 m/s, that means the nuke happened only 2-3 miles above, in the Earth's troposphere, well within the range to cause damage to computer circuits nearby.
As others have said, the lab was shielded from the pulse because rock is one of the best EM insulators (don't believe me? try talking on your cell phone in a cave). If you analyze this movie & the points Wenders was making, you'll find it to be pretty airtight.
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