This is most easily done in the Hardware Labs. In this area, you will find a room called 'Ballistics Lab'. If you're having trouble getting into the room, the keycard is on the body to the left of the door.
Once inside, at the back of the room on the desk, you will find 2 Recycler Charges. Pick them up and head towards the left side of the front of the room. Here you will find tables and several objects sitting around. Throw the charge here and you should unlock the trophy.
See the video by PowerPyx below, for the exact spot to throw the charge: