Is there any battery's in the AAA size that are higher than 350mAh..?
The way you tell these batteries physical size from what they are(10440, 14500, etc.) is this. The first 2 #s are the diameter(in mm), the second 2 are the length(in mm), the last zero? I don't know. 10440s are the only 10mm diameter I've seen so far.
