I have a VGA - HDMI converter that looks just like that one and works just fine, and it doesn't require external power. I think yours will work just fine. You might want to look around for one that has reviews on it if your feeling unsure.

Also, I don't believe that there is any special difference between an adapter for a Pi and an adapter for anything else. Also see this post. The opinions may be different than mine, but it will probably help you.

I have a VGA - HDMI converter that looks just like that one and works just fine, and it doesn't require external power. I think yours will work just fine. You might want to look around for one that has reviews on it if your feeling unsure.

Also, I don't believe that there is any special difference between an adapter for a Pi and an adapter for anything else. Also see this post. The opinions may be different than mine, but it will probably help you.