Why won't my camera charge?

Why won't my camera charge?

I've put in a brand new battery and my camera still will not charge. Even if I plug it into an outlet, it will not turn on, with or without a battery in it. Do I need a new power adapter? Is there anything else I can do or can I send it in for repair? I really haven't used this camera much, so I really don't want to get rid of it.