You Do Need power plug adapter while traveling from Israel to Central African Republic.

Here is Why You Need An Adapter

The outlet and plug type used in Central African Republic are C and E and in Israel are C and H. This is how they look like.

Israel

In Israel, outlets of type C and H are in use.

Type C

Type H

Central African Republic

In Central African Republic, outlets of type C and E are in use.

Type C

Type E