You Do Need power plug adapter while traveling from Turks and Caicos Islands to Libya.

Here is Why You Need An Adapter

The outlet and plug type used in Libya are C and L and in Turks and Caicos Islands are A and B. This is how they look like.

Turks and Caicos Islands

In Turks and Caicos Islands, outlets of type A and B are in use.

Type A

Type B

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L