Probably the most theatrical scene in The Wise Man's Fear is when Kvothe
calls down the lightning in the bandits' camp.
He does this by
placing an arrow in the ground in front of him and having Marten shoot a second arrow into the giant tree in the middle of the bandits' camp.
obviously this gave him a pretty good sympathetic link to the tree. But despite the stormy conditions, he was never able to manipulate electricity before this. And putting his own body heat into the tree would only set it on fire, if it did anything at all. And he certainly didn't know the name of lightning.
So how did this happen? Did I miss something?