Step 1: Analyze diode behavior.
Identical diodes will have equal potential difference only if both are either forward biased with equal current or reverse biased identically.
Step 2: Examine circuit (C).
In option (C), both diodes are forward biased symmetrically, ensuring identical current and hence equal potential difference across each diode.
Step 3: Final conclusion.
Thus, the circuit in which both diodes have equal non-zero potential difference is option (C).