The people in this town seem to not really care very much about finding out about the dome, and are spending all their time having annoying soap opera shit. The only one bothering to map it is the kid. The first thing I'd want to do is locate the center point and find out what's there - if it's a force field, I'd expect the generator to be in the center.
The timeline has only been like a day and a half so far, they haven't all adjusted to their circumstances yet and clinging to their soap opera and normalcy is a common thing when unbelievable stuff happens.
It hasn't sunk in yet for a lot of them.