DON'T CHANGE THAT CHANNEL!
So many people focus all their energies on the resume that they neglect to put the same time and effort into their cover letters...BIG MISTAKE! The cover letter is just as important as the resume. It can make the difference between two close candidates. Since we are talking about TV here, let's make the analogy that the cover letter/resume are one of those TV promos for a new show. If the cover letter and resume aren't interesting, unique, or if they don't catch your interest or attention, chances are you are going to flip the channel and not tune in. That is a television (and in this case, TV internship) disaster.
The Cover Letter
The cover letter should be thought as a supplement to the resume...that is, it is one part of a two part attack. While the resume's purpose is to list one's past work experiences and skills, the cover letter can help you say what the resume won't. The problem with the resume is that it is limiting and impersonal - it is basically just a list of past experiences and jobs. The cover letter is your chance for a bit more explanation and description. It's a chance to let people get an idea of who you are as a person.