Angliholic - if this if your own experience, then you are developing Repetitive Strain Injury, and you must get advice on how to avoid it immediately. Have a look at this site for information :Repetitive Strain Injury (RSI) - Information, treatments, books, help
As to your question, "I have this persistent pain in my elbow"
There are three joints in the arm, starting from the top : the shoulder, the elbow, the wrist. Your sentence does not really make it clear exactly where the pain occurs.