You almost had it, just need to escape special regex chars:
regex = /http\:\/\/www\.youtube\.com\/watch\?v=([\w-]{11})/;
url="http://www.youtube.com/watch?v=Ahg6qcgoay4";
id = url.match(regex)[1]; // id = 'Ahg6qcgoay4'
Edit: Fix for regex by soupagain.