You Do Need power plug adapter while traveling from Faroe Islands to Balearic Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Balearic Islands are C and F and in Faroe Islands are C, E, F and K. This is how they look like.

Faroe Islands

In Faroe Islands, outlets of type C, E, F and K are in use.

Type C

Type E

Type F

Type K

Balearic Islands

In Balearic Islands, outlets of type C and F are in use.

Type C

Type F