Past studies have blamed various ailments on electromagnetic fields. Sally Aldee doesn't buy it:
In 30 years, 25,000 studies have failed to find a definitive link between adverse health effects and "dirty electricity." But these are not enough to placate fears. As the WHO states, that’s because the studies don’t rule out the possibility of very small risks. Human health studies are bad at distinguishing a small effect from no effect at all. The WHO document includes a quote from Barnabas Kunsch that elegantly encapsulates the problem: "The absence of evidence of detrimental effects does not seem to suffice in modern society. The evidence of their absence is demanded more and more instead". So basically, proving that electromagnetic fields have no effect is on par with trying to argue the nonexistence of God.
(Street art in Olsztyn, Poland by Adam Łokuciejewski and Szymon Czarnowski, via Street Art Utopia)