.....BTW, are you sure about the clock radio being more dangerous than the power lines? Something tells me in small doses most things are OK. ....
Genius is a technical type. People (incorrectly) assume that since the power line carries so much more current and voltage than the clock radio it must generate much bigger E/M fields - and it does. Indeed if the power line was a few inches from your head as the clock radio is that there would be many orders of magnitude stronger fields. However it isn't and the field decreases greatly with increasing distance. The best example I can come up with is: the sun (or if you want to get closer to home a large fire) generates much much more heat energy than a candle flame - however the candle, if it is right next to to your skin, will cause much more immediate damage.
Probably the highest fields anyone could be exposed to is right next to the wall where the electric service runs down to your house (assuming it isn’t contained in metal conduit and you don’t have aluminum siding) as the current is the highest and the wall is only a few inches thick.
Even so there have been no studies I know of (any many have been done over the years) that link electric field exposure to any health issues - specifically to people who work in such an environment (high fields) for long periods of time e.g. electric substations, linemen, etc.