Electromagnetic Radiation and Communication!
Humans are not dying all around due to radiation poisoning because it's hard to create electromagnetic radiation that'll actually do damage. Radio waves are pretty safe. They are something called Non-Ionising radiation, this means they won't blast apart you dna giving you cancer, radio waves just heat stuff up, but they don't work on us water people until you get into the high power GHz realm, regular boring old radio waves just don't pack enough punch to be much of a hazard (we don't absorb MHz range stuff well at all). It takes a lot of energy to heat water, the average microwave crams 700+ watts into a shoebox sized cavity (which contains all that energy like... well, an oven), without the enclosed box, you'd struggle to boil a cup of water.

Infrared radiation is just a fancy name for heat, and unless you've been spending too long in interstellar space, you'll be giving off your own heat, along with everything else, heat is only a problem if you barbecue yourself so I wouldn't even give IR radiation a second thought.

Now UV rays do cause problems if you get exposed to high enough doses, but seeing as you can see UV light to some extent, you'd know if you were being exposed to an unsafe amount (plus you'd have a burning sensation on your skin). Now a flow of electricity won't generate anything other than radio waves (and heat) on it's own, it needs help to produce other forms of radiation. When welding for example, the arc burns so hot that it rips electrons from air molecules. This gets the electrons all exited as they fly around the place, when they eventually find their way back to lonely air molecules, they give out a burst of UV light (among other pretty colours) as they calm down and get settled in their new home. Believe it or not, this is is what goes on in fluorescent lamps and neon signs (some gasses produce more UV than others)

Now see, X-rays are quite dangerous as they are a form of ionising radiation, so they will blast apart dna and other things. Catch is, they're quite hard to make. To make some X-rays that would actually be hazardous (standing a few meters away would block most of the low energy x-rays), is quite hard. To make hazardous x-rays you have to first get a bunch of electrons to leave their atomic homes and get them floating free AND as a focused beam (easier said than done), then you have to accelerate them to a few % light speed, you're going to need some high voltage source of at least 50'000V for this. Then you have to fire this high energy electron beam at something really dense, tungsten works well. When the electrons come screaming to a half as they blast into the tungsten, they give off X-rays as they dissipate their kinetic energy. All this has to be done under high vacuum of course or the electrons will spread out and come to a gradual stop as they bounce off the light air molecules. Seeing as how these conditions don't present themselves often outside a lab, you've not got much to worry about here either.

And if you want gamma rays, well it's even harder, you already had to hit a few percent light speed in a high vacuum under high voltage to get x-rays, you'll need much more energy to produce gamma rays, so unless you are splitting atoms, you should be pretty safe.

Just because all of these forms of radiation are electromagnetic, does not mean a flow of electricity will produce them. Sound is just a pressure wave, so is the shock wave from a bomb blast, but one is far harder to produce. You won't be blowing yourself across the room with your stereo system no matter how high you crank the volume. So relax, those power lines in the distance won't be irradiating you anytime soon.