That depends on what "stay connected" means to you. Local broadcasters would be likely to provided information required for managing the problems at hand. An EMP would render anything unshielded using semiconductors useless. That affects large parts of infrastructure. Apart from that many broadcasters limit their power and range to avoid interference.
To prepare for emergencies, we store our shortwave radio in a Faraday bag. In the event of a local blackout caused by a major incident, international broadcasts may be the only way to stay informed. It's likely that news of the incident would spread globally if it was significant enough.
Jeanette Isabelle
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I'm not sure whose twisted idea it was to put hundreds of adolescents in underfunded schools run by people whose dreams were crushed years ago, but I admire the sadism. -- Wednesday Adams, Wednesday