I actually had that situation. I was substituting for a high school teacher and the kids got really worried that I was a new student and that i would get in a lot of trouble with the teacher for sitting at her desk.
Umm.. electrical what? I guess you want to say you have a master's degree in electrical engineering and are a student/learner of Danish, no? Let's try it with "Jeg er kandidat i elektroteknik men studerende i dansk." (eller "danskstuderende")