This cable connects your PSP2000 / 3000 (whole serial numbers beginning from 2000-3009) with your TV AV input (small cinch connectors, one yellow, one white, one red). Please note that on PSP 2000 series, you cannot get a picture of games on the TV, just videos , movies, MP3. For PSP3000 there is no problem, output of movies and games is available.
To check which serial number you have, please open the battery cover and take out the battery. You can see at the bottom of the place where the battery was, if you have a SCPH2000 or SCPH 3000.