Q: Connected to WiFi but no access to internet.

In the article http://support.apple.com/kb/ts1398 this is what it says:

Unable to access the Internet while connected to Wi-Fi

1. If you're using a public or commercial network, you may need to log in or subscribe.
2. Check to see if you have a self-assigned IP address:
   1. Tap Settings > Wi-Fi and locate the Wi-Fi network to which you're connected and tap .
   2. If your IP address is 169.254.xxx.xxx, you may not be able to access the Internet.
3. If you do not have a self-assigned IP address, see if other Wi-Fi devices on your network have Internet access.
   • If they do not, consult with your network administrator or ISP for further assistance.
   • If they do, reset network settings on your device by tapping Settings > General > Reset > Reset Network Settings. Note: This will reset all network settings including:
     • previously connected Wi-Fi networks and passwords
     • recently used Bluetooth accessories
     • VPN and APN settings