The date on which the primary resource, the person who assigns the expected finish date, anticipates work on the activity will finish. Only the primary resource can edit this field if the activity has started.
When the expected finish date is set, it will change the "finish" date on the status tab, but it WILL NOT change the planned finish date in column view.
The expected finish date will also change the resource assignment finish dates.
On not started and in progress activities, adding the expected finish date will change the finish date (in status tab) in both situations. The planned finish date does not change when you add an expected finish date.