Name of the Samsung Galaxy end of charger
I think this has everything to do with electronic design because you can't spec a part if you don't know what to call it. 

I believe the part you are looking for is a Female Micro B USB connector, which apparently are pretty cheap.

:EDIT:

I re-read your question and I'm not entirely clear on what aspect of the charging cable you're talking about. The Samsung charger uses a base, which is the 110VAC to a Type A Female USB connector.

The cable has a Type A Male USB connector on one end and a Male Micro B USB connector on the other end. 

Here's a link to the USB connector sizes, too.