Concept:
When alternators operate in parallel, change in excitation of one alternator affects the reactive power sharing between the alternators.
Step 1: If excitation of one alternator is changed, its power factor changes.
Step 2: If alternator A is adjusted to have a leading power factor, it supplies or absorbs reactive power differently.
Step 3: Since both alternators are connected in parallel, the other alternator must balance the reactive power demand.
Step 4: Therefore, alternator B will operate at a lagging power factor.
Hence:
\[
\boxed{\text{Have a lagging power factor}}
\]