While Apple has released iOS 11 Beta 3 to registered developers last Monday 10th July 2017, there’s no word yet (and pop-up notification) for the iOS 11 Public Beta 2.
Update 13th July 2017: Apple has finally released iOS 11 Public Beta 2 to public. Check here for details of what Apple has fixed and how to download and get it.
iOS 11 Public Beta 2 expected to be released by this week
However, should you also wait for it (like me), looking at history how Apple released their Public Beta software, Apple is expected to seed the iOS 11 Public Beta 2 to public soon this week (if not today). So stay tuned!