Electrifying Touch is an Apprentice-level Destruction spell added by the fourth plug-in Spell Tomes.
As with all Spell Tomes, Electrifying Touch spawns randomly depending on multiple factors such as character level and skill level.
However, for the best odds of finding a Spell Tome, is by searching boss-level chests in necromancer and conjurer lairs.
Casting it inflicts:
The base magicka cost is 54.