May I help?
The floppy heads do use electricity to do their dirty deed, but this is "wired" into a closed loop; the magnetic read/write field is in an open loop doing their job a few microns above the magnetic media, so free to other fields. RF frequency also causes "open loop" problems with things like antenna's and sensitive audio circuitry, but in this case the monitor is the main culprit: it uses magnetic fields to direct the location of the fired electrons onto the screen. Just for educational purposes grab a strongish magnet and put it next to or on a CRT's screen and watch the fun begin: without a degaussing function it can be hell trying to undo the effect (a good reason to use an LCD)