First of all, a text editor's internal representation of text has no bearing on how the text is encoded (serialized) when you save the file. So a document is not "in" an encoding; it's a sequence of abstract characters. When the document is saved to a file (or transmitted over the network) then it gets encoded.
It's up to each application to decide what it puts on the clipboard. Typically, a windows app that knows what it's doing will put a number of different representations on the clipboard. When you paste in the other app, the app will look for the representation that best suits its need.
In your case, a text editor (that knows what it's doing) will put a Unicode representation of a selected string onto the clipboard (where Unicode, in Windows, is typically moved around as UTF-16, but that's not important). When you paste in the other app, it will insert that sequence of Unicode characters into the document at the selection point.
There's an app floating around called "ClipSpy" that will help you see what I'm talking about, interactively.