"the internet uses 10% of the total electricity consumption worldwide. How much of that is consumed by Youtube? After Netflix and embedded videos, Youtube is the third biggest global internet bandwidth eater. About 11.4% of global internet traffic is consumed by Youtube"
That figure assumes that the electricity usage of the internet is exactly related to the amount of bandwidth - so if YouTube uses 11.4% of the internet's total bandwidth, that means that YouTube uses 11.4% of the internet's total electricity consumption.