Michael,
It wouldn't be normal that someone can stop all electrical energy in Earth, it would have to be with sme gigantic magnets or something. Anyway, we could communicate with morse code:
http://en.wikipedia.org/wiki/Morse_code and we could build up our energy on light, that is, with wires that carry photons (fibre optics is an example of this growing technology) instead of electrons. We would change the name from electricity to photicitry, from electronics to phototronics, from electric to photonic...