Concept:
The V-curve of a synchronous motor shows the relation between armature current and field current.
Step 1: At low excitation, the motor operates at lagging power factor.
Step 2: At over-excitation, the motor operates at leading power factor.
Step 3: At a particular field current, armature current becomes minimum.
Step 4: Minimum armature current occurs when the power factor is unity.
Therefore, the minimum point of the V-curve corresponds to:
\[
\boxed{\text{Unity power factor}}
\]