As a test, change the name of the wireless network on the AirPort Express....and....change the wireless network password.
See if the iPad can connect that way. If it can, this indicates that the old network settings on the iPad were corrupted.
Use the new name and password with all of your devices.
Keep the name of the wireless network short.....no more than 20 characters. Fewer would be better.
Use only normal letters and numbers in the name.....with no special characters like an apostrophe or dollar sign, etc.
No spaces in the name
Same rules for the wireless password
Please post on your results
Sorry, but this did not help my AirPort situation
Still got the spinning circle, iPad still shows connected in settings of the iPad, but can not actually able to access the network.
My model of AirPort Express is different from the current version being sold. Mine looks like the 2008 model base station which is listed in the Apple Store (refurtbished). I purchased mine when I got my iPad (original model).
This is unfortunately sounding like the iPad has a serious problem and should be checked out an Apple Store or Apple Servicer.
You can work your way through Apple's troubleshooting guide if you have the time and inclination, but based on your "test", I doubt that the steps will help. Good luck.
Takes for your trying.
As I mentioned in the original post that the iPad does work with WiFi with my Verizon Hot Spot. It is just the AirPort Base Station that does seem to work.
To make the situation even weirder, this morning (after not using the iPad overnight) I tested and the AirPort WiFi connected right away to the iPad!!!!
(Going to get a new iPad this fall when the new models come out)
iPad is still connecting, but when I turned on my Mac this afternoon, there was a window open that said it could not find a wifi network. All the possible networks as I would see on the iPad settings were there, so I clicked on my network in the list and the window closed. I do not use wifi on the Mac, so I am guessing it was the airport utility that gave the alert.
With the message on the Mac and with what happened yesterday, it looks like it is AirPort that is failing, not the iPad.