Praise be to Allaah.
The purpose of the adhaan is to announce the prayer to the
people; if there is another mosque where the adhaan was given and the people
heard it, then the purpose of the adhaan has been achieved and there is no
need to repeat it.
If the loss of electrical current was widespread and the
people did not hear the adhaan at all, then it should be repeated.
Shaykh Ibn ‘Uthaymeen was asked about that, and he replied:
The first adhaan is
sufficient, and there is no need to repeat it, because there are other
mosques nearby and the people heard the adhaan from there. But if that was
the only mosque and there is no other mosque nearby, then the adhaan should
be repeated, so that the people will know that the time for prayer has come.
End quote.
Shaykh Ibn ‘Uthaymeen
Liqaa’aat al-Baab il-Maftoohah, 3/53.