I wouldn't bet on small electronics surviving. You talk about it like it is on one wavelength, which it isn't. The EMF leaked from a bad fan motor is a lot lower than a destruct EMP's, and that can damage ICs.

And actually, a strong enough EMP can kill you. Now, realistically, being in a field that strong means you've probably been evaporated by the fireball, but if you pump energy into a conductor, be it metal which makes up the important parts of electronic equipment or the water that makes up the important parts of your neural equipment, you will make a charge which can interfere or overload the system. Theoretically, you could overload a mammal's CNS with a large enough pulse, even if all you do is interfere with the heartbeat. The the key question is is it possible to make an EM pulse that impressive without a physical blast or more energetic radiation, though.