Ha, I remember this one - it wasn't the one I got stuck on the most, but it's an interesting one. I can't remember the solution off the top of my head, and I'm not about reload up the game and play all the way through just to solve it for you (no offense, just not going to do it

), but as a general hint:
Work backwards. Use logic and elimination. For example - the fridge needs power. There's only one slot, there's no way a light panel can go there, so it must be a laser receiver. Then trace possible routes with a laser emitter.
Now I can't remember if it goes there, but the light bulb/panel combo can only work in one place - the two spots in the centre. In that position, chances are it will be powering the kettle, not the other way around (but MAYBE the kettle part is powering another laser to power the fridge).
Think about the three positions that are initially powered - the one on the bottom right cannot fit anything other than a laser. With 9 useable positions and 8 items, then there will be one empty slot.
All this stuff will hopefully help you narrow it down (it's hard to just visualise without trying some stuff).