How can I tell which Domain controller I'm authenticated to?

You can find this through the following command:

echo %LOGONSERVER%

And you don't have to be admin or poweruser to use it. Have a look at the output of this command:

set

To determine computer / server DC use NLTEST:

nltest /dsgetdc:<domain_name> 

To list all DC's with their appropriate site, try:

nltest /dclist:<domain_name>

You don't have to use the FQDN of the domain name or server -- for example, instead of saying /dclist:services.microsoft.com, you can simply type /dclist:services (as long as you are an authenticated member of that domain, of course).

For user authentication and group policy use LOGONSERVER variable:

echo %logonserver%

set l will respond with the variables for both localappdata and for logonserver. However, logonserver is the only variable you are interested in, and the one which will tell you the name of the domain controller you authenticated against.

To only get the logonserver information, type set log (which is simply an abbreviation of set logonserver). The name of the domain controller you authenticated against will be returned.