Your ipod touch wont connect to the internet even though it says im connected?

My iPod touch does this all the time. There are a few things that could be happening. 1. It could be that you are in a wifi zone that is passWord protected, but your iPod still says you are connected. 2. You could only be close enough to the wifi that you only get one "bar" so it takes a long time to load or it never does load and says it fails.